Question 1

Abel Alonzo,Director of Human Resources,is exploring employee absenteeism 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 ___.
A)proportionate systematic sample
B)proportionate stratified sample
C)disproportionate systematic sample
D)disproportionate stratified sample
E)proportionate cluster sample

Accepted Answer

Abel's sample is a proportionate stratified sample because he has divided the population (workers in different departments) into strata based on a relevant characteristic (absenteeism rate) and has selected a proportionate sample (10% from each stratum) from each group. This method allows for a more accurate representation of the overall population, and also allows for comparisons between the different departments.

Question 2

A carload of steel rods has arrived at Cybermatic Construction Company.The car contains 1,000 bundles of 50 rods each.Claude Ong,manager of Quality Assurance,directs the receiving crew to deliver the 63rd 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 ___.
A)cluster sample
B)simple random sample
C)quota sample
D)systematic sample
E)stratified sample

Accepted Answer

The answer of A carload of steel rods has arrived...

Question 3

Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc. ,suspects irregularities 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 ___.
A)stratified sample
B)simple random sample
C)convenience sample
D)systematic sample
E)cluster sample

Accepted Answer

The answer of Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc....

Question 4

A carload of palletized aluminum castings has arrived at Mansfield Motor 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 ___.
A)simple random sample
B)systematic sample
C)stratified sample
D)cluster sample
E)convenience sample

Accepted Answer

The answer of A carload of palletized aluminum castings has...

Question 5

Albert Abbasi,VP of Operations at Ingleside International Bank,is evaluating 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 ___.
A)simple random sample
B)cluster sample
C)convenience sample
D)stratified sample
E)systematic sample

Accepted Answer

This is a systematic sample because Albert is selecting every 10th customer starting from the 4th, which follows a systematic pattern.

Question 6

Kristen Ashford purchased the subscribers list for Wind Surfing magazine.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 ___.
A)simple random sample
B)stratified sample
C)systematic sample
D)convenience sample
E)cluster sample

Accepted Answer

This is a systematic sample because Kristen is selecting every 50th name in a methodical manner rather than randomly selecting names or grouping them by some characteristic (stratified or cluster sample). It is not a convenience sample because she is specifically targeting subscribers of Wind Surfing magazine.

Question 7

On Saturdays,cars arrive at David Zebda's Scrub and Shine Car Wash at the rate 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 ___.
A)convenience sample
B)simple random sample
C)unsystematic sample
D)stratified sample
E)systematic sample

Accepted Answer

The sample being selected at intervals of 20 (9, 29, 49, etc.) indicates that it is a systematic sample.

Question 8

Financial analyst Larry Potts needs a sample of 100 securities listed on the Toronto Stock Exchange.In the current issue of the Report on Business Magazine,2,531 securities are listed in the "Toronto 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 ___.
A)quota sample
B)simple random sample
C)stratified sample
D)systematic sample
E)cluster sample

Accepted Answer

Larry is selecting securities systematically, starting with the 7th and selecting every 25th thereafter. This is a systematic sample.

Question 9

Kristen Ashford purchased the subscribers list for Wind Surfing magazine.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 ___.
A)simple random sample
B)stratified sample
C)systematic sample
D)convenience sample
E)cluster sample

Accepted Answer

Kristen's sample is a simple random sample because she is selecting numbers from the entire list using a random selection method.

Question 10

Catherine Chao,Director of Marketing Research,needs a sample of households 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 ___.
A)cluster sample
B)proportionate stratified sample
C)quota sample
D)disproportionate stratified sample
E)simple random sample

Accepted Answer

Catherine's approach of having her staff each find a specific number of households without using a random selection process aligns with the definition of a quota sample. This method involves selecting a sample that reflects the characteristics of the whole population in specific proportions, but without random selection.

Question 11

Abel Alonzo,Director of Human Resources,is exploring employee absenteeism 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 ___.
A)proportionate systematic sample
B)proportionate stratified sample
C)disproportionate systematic sample
D)disproportionate stratified sample
E)proportionate cluster sample

Accepted Answer

The sample is a disproportionate stratified sample because Abel is taking a fixed number of workers (10) from each department regardless of the department size, which means the sample is not proportionate to the size of each department.

Question 12

Increasing the sample size causes the numerical value of the standard error of the mean to increase.

Accepted Answer

The standard error of the mean (SEM) is calculated as the standard deviation of the population divided by the square root of the sample size. As the sample size increases, the denominator of this fraction increases and therefore the SEM decreases. So, increasing the sample size causes the numerical value of the SEM to decrease, not increase.

Question 13

On Saturdays,cars arrive at David Zebda's Scrub and Shine Car Wash at the rate 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 ___.
A)convenience sample
B)simple random sample
C)systematic sample
D)stratified sample
E)cluster sample

Accepted Answer

David's method of selecting the first 40 customers constitutes a convenience sample because it involves choosing individuals who are easiest to reach or readily available, rather than using a method that ensures every member of the population has an equal chance of being selected.

Question 14

Albert Abbasi,VP of Operations at Ingleside International Bank,is evaluating 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 ___.
A)simple random sample
B)systematic sample
C)convenience sample
D)stratified sample
E)cluster sample

Accepted Answer

Albert's method of selecting the first 45 walk-in customers arriving after the noon hour is a convenience sample because it is based on the ease of sampling those particular customers, rather than a method that ensures every member of the population has an equal chance of being included.

Question 15

Financial analyst Larry Potts needs a sample of 100 securities listed on either the Toronto Stock Exchange (TSX)or the New York Stock Exchange (NYSE).According to the Report on Business Magazine's "Stock Market Data Bank," 2,531 TSX securities and 746 NYSE securities were traded on the previous business day.Larry directs his staff to randomly select 77 TSX and 23 NYSE securities.His sample is a ___.
A)disproportionate systematic sample
B)disproportionate stratified sample
C)proportionate stratified sample
D)proportionate systematic sample
E)proportionate cluster sampling

Accepted Answer

The answer of Financial analyst Larry Potts needs a sample...

Question 16

Kristen Ashford purchased the subscribers list for Wind Surfing magazine.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 ___.
A)simple random sample
B)stratified sample
C)systematic sample
D)convenience sample
E)cluster sample

Accepted Answer

The answer of Kristen Ashford purchased the subscribers list for...

Question 17

Financial analyst Larry Potts needs a sample of 100 securities listed on the Toronto Stock Exchange.In the current issue of the Report on Business Magazine,2,531 securities are listed in the "Toronto 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 ___.
A)quota sample
B)simple random sample
C)systematic sample
D)stratified sample
E)cluster sample

Accepted Answer

Larry used a table of random numbers to select the sample, which means every security listed in the table had an equal chance of being selected. This is the definition of simple random sampling.

Question 18

Catherine Chao,Director of Marketing Research,needs a sample of households to participate in the testing of a new toothpaste package.She chooses thirty-six of her closest friends.Catherine's sample is a ___.
A)cluster sample
B)convenience sample
C)quota sample
D)systematic sample
E)random sample

Accepted Answer

Catherine's sample is a convenience sample because she chose her friends, which is a group of people readily available to her. This type of sampling can lead to biased results because the participants may not be representative of the population.

Question 19

Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc. ,suspects irregularities 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 ___.
A)stratified sample
B)simple random sample
C)convenience sample
D)cluster sample
E)systematic sample

Accepted Answer

This is a systematic sample because Pinky Bauer is selecting every 100th voucher after starting at a random point.

Question 20

According to the central limit theorem,if a sample of size 100 is drawn from a population with a mean of 80,the mean of all sample means would equal ___.
A)0.80
B)8
C)80
D)100
E)120

Accepted Answer

According to the central limit theorem, the mean of all sample means will approximately equal the population mean, which is 80 in this case. Therefore, the answer is C.

Quiz 7: Sampling and Sampling Distributions

Catherine Chao,Director of Marketing Research,needs a sample of households 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 ___.

Increasing the sample size causes the numerical value of the standard error of the mean to increase.

Kristen Ashford purchased the subscribers list for Wind Surfing magazine.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 ___.

Catherine Chao,Director of Marketing Research,needs a sample of households to participate in the testing of a new toothpaste package.She chooses thirty-six of her closest friends.Catherine's sample is a ___.

According to the central limit theorem,if a sample of size 100 is drawn from a population with a mean of 80,the mean of all sample means would equal ___.