Sampling and Sampling Distributions

CHAPTER SEVEN Sampling and Sampling Distributions B

1.

E Term

D E Term

Savin Saving g time time and money money are reaso reasons ns to take take a _____ ________ _____ _____ _____ __ rathe ratherr than than a census. A. B. C. D.

2.

poll sample profile Fishbone

Whic Which h of of the the foll follow owin ing g is is NOT NOT a rea reaso son n for for usin using g a samp sample le,, rat rathe herr tha than n a cens census us?? A. B. C. D.

sa sampling saves time sam sampling saves money some testing procedures are destructive some testing procedures are deductive

203

204

Test Bank

C

3.

E Term

A

A. B. C. D. 4.

E Term

B

5.

M Term

A

M BApp App

th they are more expensive they they are are not not appr approp opri riat atee for for most most stat statis isti tica call meth method odss they require more time they require more planning

The The dire direct ctor ory y or map from from whic which h a samp sample le is take taken n is call called ed the the ______________. A. B. C. D.

7.

quota sampling sy systematic sampling cluster sampling stratified sampling

A ma major jor li limit mitatio ation n of of no nonran nrand dom sam sample ples is is __ ______ _______. __. A. B. C. D.

6.

judgment sampling sy systematic sampling quota sampling convenience sampling

Whic hich of of th the fo follo llowin wing is is a no nonrand andom sam sampli pling te technique? que? A. B. C. D.

E Term Term

D

Whic hich of th the fo follo llowin wing is is a ran rando dom m sam sampling ling tec techniq nique?

population census profile frame

A busi busine ness ss writ writer er want wantss to to ass asses esss the the Shel Shelby by Coun County ty busi busine ness ss com commu muni nity ty's 's attitude toward a proposed value-added tax. He selects his sample from the Chamber of Commerce membership list. The membership list is ____________. A. B. C. D.

a frame the the writ riter's r's target get popula ulation tion the writer's sampling distribution a census

Chapt Chapter er 7: Sampli Sampling ng and Sampl Sampling ing Distri Distribu butio tions ns B

8.

M BApp

C

Kris Kriste ten n Ashf Ashfor ord d purc purcha hase sed d the the subs subscr crib iber erss list list for for Wind Wind Surf Surfin ing g maga magazi zine ne.. She She wants to survey a sample of wind surfers for her mail order business. She chooses her sample from the Wind Surfing subscribers list. The subscribers list is ____________. A. B. C. D.

9.

205

Kr Kristen's target population a frame a census Kristen's sampling distribution

Cath Cather erin inee Chao Chao,, Dir Direc ecto torr of of Mar Marke keti ting ng Rese Resear arch ch,, nee needs ds a samp sample le of Kans Kansas as City City households to participate in the testing of a new toothpaste package. She plans to randomly select the households from the residential pages of the telephone directory. The residential pages of the telephone directory is _________.

M BApp App

A. B. C. D.

B

Fina Financ ncia iall anal analys ystt Larr Larry y Pott Pottss need needss a sam sampl plee of sec secur urit itie iess list listed ed on on the the New New York York Stock Exchange. He decides to select the sample from the Wall Street Journal's "New York Exchange Composite Transactions," an alphabetical listing of all securities traded on the previous business day. The "New York Exchange Composite Transactions" is ______________.

10. 10.

Catherine's sampling distribution Cathe therine' ine'ss targ arget popu opulatio ation n a frame a poll

M BApp

A. B. C. D.

B

The The two two majo majorr cate catego gori ries es of samp sampli ling ng meth method odss are are ____ ______ ____ ____ ____ ____ ____ ___. _.

11. 11.

M Term

A. B. C. D.

a poll a frame Larry's sampling distribution Larry's target population

qu q uota and convenience ran random and nonrandom stratified and cluster proportionate and disproportionate disproportionat e

206

B

Test Bank

12. 12.

If eve every ry unit unit of of the the popu popula lati tion on has has the the sam samee prob probab abil ilit ity y of of bein being g sel selec ecte ted d to to the the sample, then the researcher is probably conducting _______.

E Term

A. B. C. D.

B

The The mos mostt ele eleme ment ntar ary y typ typee of of ran rando dom m sam sampl plin ing g is is ___ _____ ____ __..

13. 13.

nonrandom sampling ra random sampling judgment sampling equivalent sampling

E Term

A. B. C. D.

D

With With ____ ______ __ rand random om samp sampli ling ng,, ther theree is homo homoge gene neit ity y wit withi hin n a subg subgro roup up or stratum.

14. 14.

st stratified sampling simple random sampling cluster sampling judgment sampling

M Term

A. B. C. D.

B

If a rese resear arch cher er sel selec ects ts eve every ry kth kth ite item m fro from m a pop popul ulat atio ion n of N item items, s, the then n she she is likely conducting ______ random sampling.

15. 15.

judgmental simple cluster stratified

M Term

A. B. C. D.

C

A nonr nonran ando dom m sam sampl plin ing g tech techni niqu quee in whic which h elem elemen ents ts are are sel selec ecte ted d for for the the sam sampl plee based on the convenience of the researcher is called ________ sampling.

16. 16.

E Term

A. B. C. D.

judgmental systematic cluster stratified

judgment quota convenience error free


17. 17.

207

A nonr nonran ando dom m samp sampli ling ng tec techn hniq ique ue whi which ch is is simi simila larr to str strat atif ifie ied d rand random om sam sampl plin ing g is called _______ sampling.

M Term

A. B. C. D.

A

____ ______ ____ __ err error or occ occur urss when when,, by cha chanc nce, e, the the sam sampl plee is not not rep repre rese sent ntat ativ ivee of the the population.

18. 18.

judgment quota convenience error free

E Term

A. B. C. D.

D

Kris Kriste ten n Ashf Ashfor ord d pur purch chas ased ed the the sub subsc scri ribe bers rs lis listt for for Wind Wind Surf Surfin ing g mag magaz azin ine. e. She She plans to survey a sample of the subscribers before using the list in her mail order business. She chooses the first 100 of the 5,000 names. Her sample is a _________.

19. 19.

Sampling Telescoping Detail Nonsampling

E BApp

A. B. C. D.

C

Kris Kriste ten n Ashf Ashfor ord d pur purch chas ased ed the the sub subsc scri ribe bers rs lis listt for for Wind Wind Surf Surfin ing g mag magaz azin ine. e. She She plans to survey a sample of the subscribers before using the list in her mail order business. She randomly selects the fourth name as a starting point and then selects every 50th subsequent name (54, 104, 154, etc.). Her sample is a _________.

20. 20.

E BApp

A. B. C. D.

si simple random sample st stratified sample systematic sample convenience sample


208

A

Test Bank

21. 21.

Kris Kriste ten n Ashf Ashfor ord d pur purch chas ased ed the the sub subsc scri ribe bers rs lis listt for for Wind Wind Surf Surfin ing g mag magaz azin ine. e. She She plans to survey a sample of the subscribers before using the list in her mail order business. The names are numbered consecutively from 1 to 5,000. Kristen chooses her sample by selecting four-digit numbers (1 to 5,000) from a random number table. Her sample is a _________.

E BApp

A. B. C. D.

C

Pink Pinky y Bau Bauer er,, Chi Chief ef Fina Financ ncia iall Off Offic icer er of Harr Harris ison on Haul Hauler ers, s, Inc. Inc.,, sus suspe pect ctss irregularities irregularitie s in the payroll system. She knows that 2,500 payroll vouchers have been issued since January 1, 2000, and her staff doesn't have time to inspect each voucher. So, she orders her staff to inspect the last 200 vouchers. Her sample is a ___________.

22. 22.


E BApp

A. B. C. D.

D

Pink Pinky y Baue Bauer, r, Chi Chief ef Fina Financ ncia iall Offi Office cerr of Harr Harris ison on Haul Hauler ers, s, Inc Inc., ., sus suspe pect ctss irregularities irregularitie s in the payroll system. She knows that 2,500 payroll vouchers have been issued since January 1, 2000, and her staff doesn't have time to inspect each voucher. So, she randomly selects 53 as a starting point and orders her staff to inspect the 53rd voucher and each voucher at an increment of 100 (53, 153, 253, etc.). Her sample is a ___________.

23. 23.

E BApp

A. B. C. D.

stratified sample sim simple random sample convenience sample systematic sample



24. 24.

209

Pink Pinky y Bau Bauer er,, Chi Chief ef Fina Financ ncia iall Off Offic icer er of Harr Harris ison on Haul Hauler ers, s, Inc. Inc.,, sus suspe pect ctss irregularities irregularitie s in the payroll system. She knows that 2,500 payroll vouchers have been issued since January 1, 2000, and her staff doesn't have time to inspect each voucher. The vouchers are numbered consecutively from 1 to 2,500. Pinky's staff chooses her sample by selecting four-digit numbers (1 to 2,500) from a random number table. Her sample is a ___________.

E BApp

A. B. C. D.

A

Fina Financ ncia iall anal analys ystt Larr Larry y Pott Pottss need needss a sam sampl plee of 100 100 sec secur urit itie iess list listed ed on on the the New New York Stock Exchange. He chooses the first 100 securities listed in the Wall Street Journal's "New York Exchange Composite Transactions," an alphabetical listing of all securities traded on the previous business day. Larry's sample is a ____________.

25. 25.


E BApp

A. B. C. D.

B

Fina Financ ncia iall anal analys ystt Larr Larry y Pott Pottss nee needs ds a samp sample le of of 100 100 sec secur urit itie iess list listed ed on the the New New York Stock Exchange. In the current issue of the Wall Street Journal, 2,531 securities are listed in the "New York Exchange Composite Transactions," an alphabetical listing of all securities traded on the previous business day. Larry uses a table of random numbers to select 100 numbers between 1 and 2,531. His sample is a ____________.

26. 26.

E BApp

A. B. C. D.

convenience sample sim simple random sample systematic sample stratified sample

quota sample sim simple random sample systematic sample stratified sample

210

D

Test Bank

27. 27.

Fina Financ ncia iall anal analys ystt Larr Larry y Pott Pottss need needss a sam sampl plee of 100 100 sec secur urit itie iess list listed ed on on the the New New York Stock Exchange. In the current issue of the Wall Street Journal, 2,531 securities are listed in the "New York Exchange Composite Transactions," an alphabetical listing of all securities traded on the previous business day. Larry randomly selects the 7th security as a starting point, and selects every 25th security thereafter (7, 32, 57, etc.). His sample is a ____________.

E BApp

A. B. C. D.

C

Finan Financia ciall ana analys lystt Larr Larry y Pot Potts ts needs needs a samp sample le of 100 100 secu securi ritie tiess list listed ed on eithe eitherr the the New York Stock Exchange (NYSE) or the American Stock Exchange (AMEX). According to the Wall Street Journal's "Stock Market Data Bank," 2,531 NYSE securities and AMEX 746 securities were traded on the previous business day. Larry directs his staff to randomly select 77 NYSE and 23 AMEX securities. His sample is a ____________.

28. 28.

quota sample sim simple random sample stratified sample systematic sample

M BApp BApp

A. B. C. D.

A

On Sat Satur urda days ys,, cars cars arr arriv ivee at at Davi David d Zeb Zebda da's 's Scr Scrub ub and and Shi Shine ne Car Car Wash Wash at at the the rat ratee of 80 cars per hour during the ten-hour shift. David wants a sample of 40 Saturday customers to answer the long version of his quality service questionnaire. He instructs the Saturday crew to select the first 40 customers. His sample is a __________.

29. 29.

E BApp

A. B. C. D.

disproportionate systematic sample disp dispro ropo port rtio iona nate te stra strati tifi fied ed samp sample le proportionate stratified sample proportionate systematic sample


Chapt Chapter er 7: Sampli Sampling ng and Sampl Sampling ing Distri Distribu butio tions ns C

30. 30.

211

On Sat Satur urda days ys,, cars cars arr arriv ivee at at Davi David d Zeb Zebda da's 's Scr Scrub ub and and Shi Shine ne Car Car Wash Wash at at the the rat ratee of 80 cars per hour during the ten-hour shift. David wants a sample of 40 Saturday customers to answer the long version of his quality service questionnaire. He randomly selects 9 as a starting point and instructs the crew to select the 9th customer and each customer at intervals of 20 ( 9, 29, 49, etc.). His sample is a __________.

E BApp

A. B. C. D.

C

Alber Albertt Abb Abbasi asi,, VP VP of Operat Operation ionss at Ingle Inglesid sidee Intern Internati ation onal al Bank, Bank, is evalu evaluati ating ng the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. Albert instructs his staff to record the waiting times for the first 45 walk-in customers arriving after the noon hour. Albert's sample is a ________.

31. 31.


E BApp

A. B. C. D.

B

Alber Albertt Abb Abbasi asi,, VP VP of Operat Operation ionss at Ingle Inglesid sidee Intern Internati ation onal al Bank, Bank, is evalu evaluati ating ng the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. Albert randomly selects 4 as a starting point and instructs his staff to record the waiting times for the 4th walk-in customer and every 10th customer thereafter (4, 14, 24, etc.). Albert's sample is a ________.

32. 32.

E BApp

A. B. C. D.

si simple random sample sy systematic sample convenience sample stratified sample

si simple random sample sy systematic sample convenience sample stratified sample

212

D

Test Bank

33. 33.

A carl carloa oad d of pall pallet etiz ized ed alum alumin inum um cast castin ings gs has has arr arriv ived ed at Man Mansf sfie ield ld Mot Motor or Manufacturers. The car contains 1,000 pallets of 100 castings each. Mario Munoz, manager of Quality Assurance, directs the receiving crew to deliver the 127th and 869th pallets to his crew for 100% inspection. Mario randomly selected 127 and 869 from a table of random numbers. Mario's sample of 200 castings is a _____________.

M BApp

A. B. C. D.

A

A car carlo load ad of stee steell rods rods has has arr arriv ived ed at Cybe Cyberm rmat atic ic Cons Constr truc ucti tion on Comp Compan any. y. The The car car contains 1,000 bundles of 50 rods each. Claude Ong, manager of Quality Assurance, directs the receiving crew to deliver the 63th and 458th bundles to his crew for 100% inspection. Claude randomly selected 63 and 458 from a table of random numbers. Claude's sample of 100 rods is a _____________.

34. 34.

si simple random sample sy systematic sample stratified sample cluster sample

M BApp

A. B. C. D.

D

Abel Abel Alo Alonz nzo, o, Dir Direc ecto torr of Hum Human an Res Resou ourc rces es,, is exp explo lori ring ng emp emplo loye yeee abse absent ntee eeis ism m at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel' sample is a ________________.

35. 35.

E BApp App

A. B. C. D.

cluster sample sim simple random sample quota sample systematic sample

pr proportionate systematic sample pro propor portio tionate stra tratifie ified d sam sample disproportionate disproportionat e systematic sample disproportionate stratified sample


36. 36.

213

Abel Abel Alo Alonz nzo, o, Dir Direc ecto torr of Hum Human an Res Resou ourc rces es,, is exp explo lori ring ng emp emplo loye yeee abse absent ntee eeis ism m at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10% of the workers from each of the six departments. Abel' sample is a ________________.

E BApp App

A. B. C. D.

B

Cath Cather erin inee Chao Chao,, Dire Direct ctor or of of Mark Market etin ing g Rese Resear arch ch,, need needss a samp sample le of of hous househ ehol olds ds to to participate in the testing of a new toothpaste package. She chooses thirty-six of her closest friends. Catherine's sample is a _____________.

37. 37.

pr proportionate systematic sample pro propor portio tionate stra tratifie ified d sam sample disproportionate disproportionat e systematic sample disproportionate stratified sample

E BApp

A. B. C. D.

C

Cath Cather erin inee Chao Chao,, Dire Direct ctor or of of Mark Market etin ing g Rese Resear arch ch,, need needss a samp sample le of of hous househ ehol olds ds to to participate in the testing of a new toothpaste package. She directs the seven members of her staff to find five households each. Catherine's sample is a _____________.

38. 38.

cluster sample con convenience sample quota sample systematic sample

E BApp App

A. B. C. D.

A

Cath Cather erin inee Chao Chao,, Direc Directo torr of Mar Marke keti ting ng Res Resea earc rch, h, nee needs ds a sam sampl plee of hou house seho hold ldss to participate in the testing of a new toothpaste package. She narrows the selection by first randomly selecting 5 census tracts in the city; then the sample is randomly selected from the five tracts Catherine's sample is a _________.

39. 39.

M BApp App

A. B. C. D.

cluster sample pro propor portio tionate stra tratifie ified d sam sample quota sample disproportionate stratified sample

cluster sample pro propor portio tionate stra tratifie ified d sam sample quota sample disproportionate stratified sample

214

D

Test Bank

40. 40.

Cath Cather erin inee Chao Chao,, Direc Directo torr of Mar Marke keti ting ng Res Resea earc rch, h, nee needs ds a sam sampl plee of hou house seho hold ldss to participate in the testing of a new toothpaste package. She estimates there are approximately 69,000 entries in the residential pages of the telephone directory, randomly selects 152 as the starting point, and instructs her staff to select every 227th entry. Catherine's sample is a _________.

E BApp App

A. B. C. D.

B

The The eigh eightt empl employ oyee eess of the the Tun Tunin ing g Depa Depart rtme ment nt and and thei theirr “ye “year arss of of expe experi rien ence ce”” are listed in the following table. Employee A B C D E F G H Experience (years) 10 2 1 1 15 7 4 8 If a sample of two employees is selected with replacement, the number of elementary outcomes in the sample space is _______________.

41. 41.

cluster sample pro propor portio tionate stra tratifie ified d sam sample disproportionate disproportionat e stratified sample systematic sample

M BCalc

A. B. C. D.

D

The The eigh eightt empl employ oyee eess of the the Tun Tunin ing g Depa Depart rtme ment nt and and the their ir “ye “year arss of exp exper erie ienc nce” e” are listed in the following table. Employee A B C D E F G H Experience (years) 10 2 1 1 15 7 4 8 If a sample of three employees is selected with replacement, the number of elementary outcomes in the sample space is _______________.

42. 42.

M BCalc

A. B. C. D.

56 64 336 512

56 64 336 512


43. 43.

215

The The eigh eightt empl employ oyee eess of the the Tun Tunin ing g Depa Depart rtme ment nt and and thei theirr “ye “year arss of of expe experi rien ence ce”” are listed in the following table. Employee A B C D E F G H Experience (years) 10 2 1 1 15 7 4 8 If a sample of two employees is selected with replacement, which of the following is not a possible value of the sample mean years of experience?

M BCalc

A. B. C. D.

A

The The eigh eightt empl employ oyee eess of the the Tun Tunin ing g Depa Depart rtme ment nt and and the their ir “ye “year arss of exp exper erie ienc nce” e” are listed in the following table. Employee A B C D E F G H Experience (years) 10 2 1 1 15 7 4 8 If a sample of two employees is selected without replacement, the number of elementary outcomes in the sample space is _______________.

44. 44.

2.5 6.5 8.5 12.5

M BCalc

A. B. C. D.

C

The The eigh eightt empl employ oyee eess of the the Tun Tunin ing g Depa Depart rtme ment nt and and thei theirr “ye “year arss of of expe experi rien ence ce”” are listed in the following table. Employee A B C D E F G H Experience (years) 10 2 1 1 15 7 4 8 If a sample of three employees is selected without replacement, the number of elementary outcomes in the sample space is _______________.

45. 45.

M BCalc

A. B. C. D.

56 64 336 512

56 64 336 512

216

D

Test Bank

46. 46.

The The eigh eightt empl employ oyee eess of the the Tun Tunin ing g Depa Depart rtme ment nt and and the their ir “ye “year arss of exp exper erie ienc nce” e” are listed in the following table. Employee A B C D E F G H Experience (years) 10 2 1 1 15 7 4 8 If a sample of two employees is selected without replacement, which of the following is not a possible value of the sample mean years of experience?

M BCalc

A. B. C. D.

B

A samp sampli ling ng dist distri ribu buti tion on is a dist distri ribu buti tion on of ____ ______ ____ ____ ____ ____ ___. _.

47. 47.

9 12.5 4 2

E Term

A. B. C. D.

D

The The stan standa dard rd dev devia iati tion on of of a samp sampli ling ng dis distr trib ibut utio ion n is com commo monl nly y call called ed ___ _____ ____ __..

48. 48.

excess profits to selected shareholders. a sample statistic, such as, x . a population parameter, such as, µ. a population attribute, such as, employee’s age.

E Term

A. B. C. D.

A

The The sta stand ndar ard d dev devia iati tion on of the the sam sampl plin ing g dis distr trib ibut utio ion n of of x is commonly called the _______ of the mean.

49. 49.

st statistical leverage. the uniform spread. statistical margin. the standard error.

E Term

A. B. C. D.

B

The The sta stand ndar ard d dev devia iati tion on of the the sam sampl plin ing g dis distr trib ibut utio ion n of of p is commonly called the _______ of the proportion.

50. 50.

standard error un uniform spread statistical margin statistical leverage 

E Term

A. B. C. D.

A

The The cent centra rall limi limitt theo theore rem m stat states es tha thatt if n is is larg largee enou enough gh,, the the dist distri ribu buti tion on of of the the

51. 51.

uniform spread st standard error statistical margin statistical leverage

Chapt Chapter er 7: Sampli Sampling ng and Sampl Sampling ing Distri Distribu butio tions ns

217

sample means is _____________ distributed regardless of the shape of the population. E Term

A. B. C. D.

B

Acco Accord rdin ing g to to the the cent centra rall limi limitt theo theore rem, m, the the mea mean n of the the samp sample le mea means ns for for a give given n size of sample is equal to _______.

52. 52.

ap approximately normally uniformly randomly nonrandomly

E Term

A. B. C. D.

B

The The smal smalle lest st sam sampl plee size size tha thatt shou should ld be be used used whe when n rely relyin ing g on on the the cent centra rall limi limitt theorem is __________.

53. 53.

the population mean divided by n the population mean the population mean divided by the square root of n zero

E Term

A. B. C. D.

C

The The ccen entr tral al limi limitt the theor orem em is appl applic icab able le only only ____ ______ ____ ____ ____ ____ ____ ____ __..

54. 54.

20 30 40 50

E Term

A. B. C. D.

D

The The cent centra rall limi limitt theo theore rem m is appl applic icab able le ____ ______ ____ ____ ____ ____ ____ ____ __..

55. 55.

M Term

A. B. C. D.

to symmetrical populations to unimodal populations when the sample size is 30 or more to leptokurtic populations

only to symmetrical populations only to unimodal populations when the sample size is 20 or more regardless of the shape of the population distribution

218

Test Bank

A

56. 56.

If the samp sample le size size is is suff suffici icien ently tly large large,, acc accord ording ing to the centra centrall lim limit it theor theorem em,, the the sample means are approximately ____________________.

E Term

A. B. C. D.

C

Acco Accord rdin ing g to to the the cent centra rall lim limit it the theor orem em,, if a sam sampl plee of of siz sizee 100 100 is draw drawn n fro from ma population with a mean of 80, the mean of all sample means would equal _______.

57. 57.

E Calc

B

A. B. C. D. 58. 58.

E Calc

B

E Calc

A

E Calc

7.00 56.00 64.00 0.875

Acco Accord rdin ing g to to the the cent centra rall lim limit it the theor orem em,, if a sam sampl plee of of siz sizee 100 100 is draw drawn n fro from ma population with a standard deviation of 80, the standard deviation of sample means would equal _______. A. B. C. D.

60. 60.

0.80 8 80 100

Acco Accord rdin ing g to to the the cent centra rall lim limit it the theor orem em,, if a sam sampl plee of of siz sizee 64 64 is is dra drawn wn fro from ma population with a mean of 56, the mean of all sample means would equal _______. A. B. C. D.

59. 59.

no normally distributed ex exponentially distributed uniformly distributed geometrically distributed

0.80 8 80 800

Acco Accord rdin ing g to to the the cent centra rall lim limit it the theor orem em,, if a sam sampl plee of of siz sizee 64 64 is is dra drawn wn fro from ma population with a standard deviation of 80, the standard deviation of sample means would equal _______. A. B. C. D.

10.000 1.250 0.125 0.800


B

61. 61.

219

Incr Increa easi sing ng the the samp sample le size size cau cause sess the the stan standa dard rd err error or of of the the mean mean to ___ _____ ____ ___. _.

E Term

A. B. C. D.

D

Incr Increa easi sing ng the the samp sample le size size caus causes es the the samp sampli ling ng dist distri ribu buti tion on of x to ________.

62. 62.

de destabilize in value decrease in value seek market equilibrium increase in value

M Term

A. B. C. D.

D

Acco Accord rdin ing g to to the the cent centra rall lim limit it theo theore rem, m, for for sam sampl ples es of size size 64 draw drawn n fro from ma population with µ = 800 and σ = 56, the mean of the sampling distribution of sample means would equal _______.

63. 63.

E Calc

A

A. B. C. D. 64. 64.

E Calc

A

E Calc

C

7 8 100 800

Acco Accord rdin ing g to to the the cent centra rall lim limit it theo theore rem, m, for for sam sampl ples es of size size 169 169 draw drawn n fro from ma population with µ = 1,014 and σ = 65, the mean of the sampling distribution of sample means would equal _______. A. B. C. D.

66. 66.

7 8 100 800

Acco Accord rdin ing g to to the the cent centra rall lim limit it theo theore rem, m, for for sam sampl ples es of size size 64 draw drawn n fro from ma population with µ = 800 and σ = 56, the standard deviation of the sampling distribution of sample means would equal _______. A. B. C. D.

65. 65.

sh shift to the right shift to the left have more dispersion have less dispersion

1,014 65 5 6

Acco Accord rdin ing g to to the the cent centra rall lim limit it theo theore rem, m, for for sam sampl ples es of size size 169 169 draw drawn n fro from ma

220

Test Bank

population with µ = 1,014 and σ = 65, the standard deviation of the sampling distribution of sample means would equal _______. E Calc

A

A. B. C. D. 67. 67.

M Calc

B

M Calc

C

M Calc

Supp Suppos osee a pop popul ulat atio ion n has has a mea mean n of of 90 90 and and a sta stand ndar ard d dev devia iati tion on of 28. 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of more than 95 is _______. A. B. C. D.

68. 68.

0.1056 0.3944 0.4286 0.8944

Supp Suppos osee a popu popula lati tion on has has a mean mean of 90 and and a stan standa dard rd devi deviat atio ion n of of 28. 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of less than 84 is _______. A. B. C. D.

69. 69.

1,014 65 5 6

0.9332 0.0668 0.4332 0.8664

Supp Suppos osee a popu popula lati tion on has has a mean mean of 90 and and a stan standa dard rd devi deviat atio ion n of of 28. 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 85 and 95 is _______. A. B. C. D.

0.1056 0.3944 0.7888 0.2112

Chapt Chapter er 7: Sampli Sampling ng and Sampl Sampling ing Distri Distribu butio tions ns A

70. 70.

M Calc

D

A. B. C. D. 71. 71.

M Calc

A

72. 72.

M Calc

0.0139 0.4861 0.4878 0.0122

Supp Suppos osee a pop popul ulat atio ion n has has a mea mean n of of 400 400 and and a stan standa dard rd devi deviat atio ion n of of 24. 24. If If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean between 395.5 and 404.5 is _______. A. B. C. D.

73. 73.

0.9876 0.0124 0.4938 0.0062

Supp Suppos osee a pop popul ulat atio ion n has has a mea mean n of of 400 400 and and a stan standa dard rd devi deviat atio ion n of of 24. 24. If If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean of more than 404.5 is _______. A. B. C. D.

M Calc

C

Supp Suppos osee a pop popul ulat atio ion n has has a mea mean n of of 90 90 and and a sta stand ndar ard d dev devia iati tion on of 28. 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 80 and 100 is _______.

0.9756 0.0244 0.0278 0.9722

Supp Suppos osee a pop popul ulat atio ion n has has a mea mean n of of 400 400 and and a stan standa dard rd devi deviat atio ion n of of 24. 24. If If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean less than 402 is _______. A. B. C. D.

0.3413 0.6826 0.8413 0.1587

221

222

Test Bank

D

74. 74.

M Calc

C

A. B. C. D. 75. 75.

M Calc

A

76. 76.

M BCalc

0.9544 0.6826 0.8185 0.5899

Supp Suppos osee a pop popul ulat atio ion n has has a mea mean n of of 870 870 and and a vari varian ance ce of 8,10 8,100. 0. If If a ran rando dom m sample is size 36 is drawn from the population, the probability that the sample mean is between 840 and 900 is _______. A. B. C. D.

77. 77.

0.4972 0.6826 0.4101 0.5899

Supp Suppos osee a pop popul ulat atio ion n has has a mea mean n of of 870 870 and and a vari varian ance ce of 1,60 1,600. 0. If If a ran rando dom m sample is size 64 is drawn from the population, the probability that the sample mean is between 860 and 875 is _______. A. B. C. D.

M Calc

B

Supp Suppos osee a popu popula lati tion on has has a mean mean of 450 450 and and a var varia ianc ncee of of 900 900.. If If a rand random om sample is size 100 is drawn from the population, the probability that the sample mean is between 448 and 453 is _______.

0.9544 0.6826 0.8185 0.5899

Alber Albertt Abb Abbasi asi,, VP VP of Operat Operation ionss at Ingle Inglesid sidee Intern Internati ation onal al Bank, Bank, is evalu evaluati ating ng the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert's sample of 64 will have a mean less than 14 minutes is a ________. A. B. C. D.

0.4772 0.0228 0.9772 0.9544


78. 78.

223

Alber Albertt Abb Abbasi asi,, VP VP of Operat Operation ionss at Ingle Inglesid sidee Intern Internati ation onal al Bank, Bank, is evalu evaluati ating ng the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert's sample of 64 will have a mean less than 16 minutes is a ________.

M BCalc

A. B. C. D.

A

Alber Albertt Abb Abbasi asi,, VP VP of Operat Operation ionss at Ingle Inglesid sidee Intern Internati ation onal al Bank, Bank, is evalu evaluati ating ng the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is a ________.

79. 79.

0.4772 0.0228 0.9772 0.9544

M BCalc

A. B. C. D.

B

A car carlo load ad of stee steell rods rods has has arr arriv ived ed at Cybe Cyberm rmat atic ic Cons Constr truc ucti tion on Comp Compan any. y. The The car car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods have a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude's sample has a mean greater than 120.0125 inches is _____________.

80. 80.

M BCalc

A. B. C. D.

0.9974 0.4987 0.9772 0.4772

0.0124 0.0062 0.4938 0.9752

224

D

Test Bank

81. 81.

A car carlo load ad of stee steell rods rods has has arr arriv ived ed at Cybe Cyberm rmat atic ic Cons Constr truc ucti tion on Comp Compan any. y. The The car car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods have a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude's sample has a mean less than 119.985 inches is _____________.

M BCalc

A. B. C. D.

A

A car carlo load ad of stee steell rods rods has has arr arriv ived ed at Cybe Cyberm rmat atic ic Cons Constr truc ucti tion on Comp Compan any. y. The The car car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods have a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude's sample has a mean less than 119.985 and 120.0125 inches is ____________.

82. 82.

0.9974 0.0026 0.4987 0.0013

M BCalc

A. B. C. D.

A

Incre Increasi asing ng the the sample sample size size causes causes the standa standard rd error error of the the pro propor portio tion n to _____ _____..

83. 83.

0.9925 0.9974 0.9876 0.9544

E Term

A. B. C. D.

B

Incr Increa easi sing ng the the samp sample le size size caus causes es the the samp sampli ling ng dist distri ribu buti tion on of p to ________.

84. 84.

M Term

de decrease in value des destabilize in value oscillate grow larger 

A. B. C. D.

shift to the right one standard deviation hav have less dispersion have more dispersion shift to the left one standard deviation


85. 85.

225

The The nine nine empl employ oyee eess of of the the Info Inform rmat atio ion n Tech Techno nolo logi gies es Cen Cente terr and and whet whethe herr they they possess 'mission critical skills' are listed in the following table. Employee A B C D E F G H I Mission Critical No No Yes No Yes No No No No If a sample of two employees is selected without replacement, the number of elementary outcomes in the sample space is _______________.

M BCalc

A. B. C. D.

D

The The nine nine emp emplo loye yees es of of the the Info Inform rmat atio ion n Tech Techno nolo logi gies es Cen Cente terr and and whet whethe herr they they possess 'mission critical skills' are listed in the following table. Employee A B C D E F G H I Mission Critical No No Yes No Yes No No No No If a sample of two employees is selected with replacement, the number of elementary outcomes in the sample space is _______________.

86. 86.

384 256 72 81

M BCalc

A. B. C. D.

C

The The eigh eightt empl employ oyee eess of the the Inf Infor orma mati tion on Tec Techn hnol olog ogie iess Cent Center er and and whe wheth ther er the they y possess 'mission critical skills' are listed in the following table. Employee A B C D E F G H I Mission Critical No No Yes No Yes No No No No If a sample of two employees is selected without replacement, which of the following is not a possible sample proportion of "mission critical"?

87. 87.

M BCalc

A. B. C. D.

384 256 72 81

1.00 0.00 0.22 0.50

226

Test Bank

C

88. 88.

M Calc

A

A. B. C. D. 89. 89.

M Calc

B

90. 90.

B

92. 92.

M Calc

C

0.1064 0.2700 0.3936 0.6064

Supp Suppos osee 40% 40% of all all coll colleg egee stu stude dent ntss hav havee a comp comput uter er at at hom homee and and a sam sampl plee of of 64 64 is taken. What is the probability that more than 30 of those in the sample have a computer at home? A. B. C. D.

93. 93.

0.2019 0.2981 0.5300 0.7019

If the the pop popul ulat atio ion n prop propor orti tion on is 0.9 0.90 0 and and a samp sample le of of size size 64 64 is is take taken, n, wha whatt is the the probability that the sample proportion is more than 0.89? A. B. C. D.

M Calc

0.2236 0.2764 0.2900 0.7764

If the the pop popul ulat atio ion n prop propor orti tion on is 0.9 0.90 0 and and a samp sample le of of size size 64 64 is is take taken, n, wha whatt is the the probability that the sample proportion is less than 0.88? A. B. C. D.

91. 91.

0.0793 0.4207 0.9207 1.0000

Supp Suppos osee 30% 30% of a popu popula lati tion on pos posse sess ss a giv given en cha chara ract cter eris isti tic. c. If If a rand random om sam sampl plee of size 1200 is drawn from the population, then the probability that less than 348 possess that characteristic is _______. A. B. C. D.

M Calc

D

Supp Suppos osee 40% 40% of the the pop popul ulat atio ion n poss posses esss a give given n char charac acte teri rist stic ic.. If a ran rando dom m samp sample le of size 300 is drawn from the population, then the probability that 44% or fewer of the sample possess the characteristic is _______.

0.3686 0.1314 0.8686 0.6314

Supp Suppos osee 40% 40% of all all coll colleg egee stu stude dent ntss hav havee a comp comput uter er at at hom homee and and a sam sampl plee of of


227

100 is taken. What is the probability that more than 50 of those in the sample have a computer at home? M Calc

B

A. B. C. D. 94. 94.

M Calc

D

Pink Pinky y Bau Bauer er,, Chi Chief ef Fina Financ ncia iall Off Offic icer er of Harr Harris ison on Haul Hauler ers, s, Inc. Inc.,, sus suspe pect ctss irregularities irregularitie s in the payroll system. If 10% of the 5,000 payroll vouchers issued since January 1, 2000, have irregularities, the probability that Pinky's random sample of 200 vouchers will have a sample proportion greater than .06 is ___________. A. B. C. D.

95. 95.

0.4793 0.9793 0.0207 0.5207

0.4706 0.9706 0.0588 0.9412

Pink Pinky y Baue Bauer, r, Chi Chief ef Fina Financ ncia iall Offi Office cerr of Harr Harris ison on Haul Hauler ers, s, Inc Inc., ., sus suspe pect ctss irregularities irregularitie s in the payroll system. If 10% of the 5,000 payroll vouchers issued since January 1, 2000, have irregularities, the probability that Pinky's random sample of 200 vouchers will have a sample proportion .06 and .14 is ___________.

H BCalc

A. B. C. D.

D

Cath Cather erin inee Chao Chao,, Dire Direct ctor or of of Mark Market etin ing g Rese Resear arch ch,, need needss a samp sample le of of Kans Kansas as Cit City y households to participate in the testing of a new toothpaste package. If 40% of the households in Kansas City prefer the new package, the probability that Catherine's random sample of 300 households will have a sample proportion greater than 0.45 is ___________.

96. 96.

0.4706 0.9706 0.0588 0.9412

M BCalc

A. B. C. D.

A

Cath Cather erin inee Chao Chao,, Dire Direct ctor or of of Mark Market etin ing g Rese Resear arch ch,, need needss a samp sample le of of Kans Kansas as Cit City y households to participate in the testing of a new toothpaste package. If 40% of

97. 97.

0.9232 0.0768 0.4616 0.0384

228

Test Bank

the households in Kansas City prefer the new package, the probability that Catherine's random sample of 300 households will have a sample proportion between 0.35 and 0.45 is ___________. H BCalc

A. B. C. D.

0.9232 0.0768 0.4616 0.0384

Chapt Chapter er 7: Sampli Sampling ng and Sampl Sampling ing Distri Distribu butio tions ns 98.

229

Uriah Uriah Utley, Utley, a mana managing ging partner partner with with Ultra Ultra Properti Properties, es, feels feels that that custo customer mer satisfaction is the key to success in the residential real estate business. Accordingly, he is considering a survey of recent purchasers of residential properties. He wants the survey to focus on "what my agents and my competitors' agents are doing right and doing wrong." He has access to and the legal right to use the Multiple Listing Service data base which contains numerous data items on each property listed by member realtors. These items include: (1) the listing agency, (2) the selling agency, and (3) the address of the property. Describe the target population and a sampling plan for Uriah's survey. Note any assumptions and limitations of the plan.

M BApp BApp

Should he share the survey results with all other realtors? Why or why not? ____ ______ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ___ _ _____ ________ _____ _____ _____ _____ _____ _____ ______ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ ______ _____ _____ _____ _____ ____ _ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________

230

Test Bank

99.

Ophelia Ophelia O'Bri O'Brien, en, VP VP of Consu Consumer mer Credit Credit of American American First First Banks Banks (AFB) (AFB),, is concerned about the default rate on personal loans at the 30 AFB member banks. Ten percent of the 30,000 personal loans approved last year were in default within six months of approval. Ophelia wants the application and approval process "tightened up and streamlined to weed out bad risks and provide fast turn-around to all applicants." She wants a short credit application which can be processed rapidly, yet is an excellent predictor of credit worthiness. Describe the target population and a sampling plan for Ophelia's survey. Note any assumptions and limitations of the plan.

M BApp BApp

Are last year's 30,000 applications relevant to this survey? Should Ophelia segment the market? What variables could she use? ____ ______ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ___ _ _____ ________ _____ _____ _____ _____ _____ _____ ______ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ ______ _____ _____ _____ _____ ____ _ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________

Chapt Chapter er 7: Sampli Sampling ng and Sampl Sampling ing Distri Distribu butio tions ns 100. 100.

Melton Melton Leach, Leach, VP VP of Marke Marketing ting and and Custom Customer er Servic Services es at Montic Monticello ello Prudent Prudential ial Bank (MPB), is interested and concerned about the various implications of online banking. If MPB doesn't implement online banking, will it lose a significant market share to online banks? If MPB implements online banking, will its customer base increase enough to offset the additional costs? Should MPB charge a fee for the online services? If so, how much? Should MPB use propriety telephone circuits or the Internet? Would online banking change the character of MPB, and diminish its appeal to customers who prefer the personal touch of faceto-face banking? Describe the target population(s) and a sampling plan for Melton. Note any assumptions and limitations of the plan. Which population attributes are relevant to Melton's problem? Should Melton segment the market? What variables could he use?

M BApp

231

232

Test Bank

101. 101.

Global Global Financ Financial ial Servic Services es (GFS) (GFS) provide providess financia financiall service servicess to consum consumer er and business clients through a network of offices located in the United States, Australia, Europe, and the Pacific Rim. Its assortment of financial services is rich and varied; time deposits, unsecured personal loans, and home mortgage loans are examples of its consumer services; while its business services include venture capital, construction loans, receivables factoring, and inventory floorplans. Internet e-mail is a convenient means of communications, both internally between branch offices, and externally between employees and clients. Each employee has an e-mail account on one of the company's e-mail servers. (E-mail servers are located at five of GFS's data centers.) The account includes an electronic inbox and an electronic sent-mail box. Messages are stored chronologically in the respective mailbox. Elwin Osbourne, Chief Information Officer at GFS, is concerned about excessive employee abuse of the corporation's Internet e-mail resources. Describe the target population(s) and a sampling plan for Elwin. Note any assumptions and limitations of the plan. Which population attributes are relevant to Elwin's problem? Should Elwin stratify the population? What variables could he use? How could Elwin use cluster sampling? What conditions would make cluster sampling appropriate for his study.

M BApp

Sampling and Sampling Distributions

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