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A bank with branches in a large metropolitan area is considering opening its off

ID: 2927641 • Letter: A

Question

A bank with branches in a large metropolitan area is considering opening its offices on Saturday, but it is uncertain whether customers will prefer (1) having extended walk-in hours on Saturday or (2) extending branch hours during the week. Listed below are some of the ideas proposed for gathering data. For each idea, (a) through (d), indicate what kind of sampling strategy is involved and what (if any) biases might result.

(a)

Survey every customer who comes into any branch over the course of one day.Survey every customer who comes into any branch over the course of one day.

nothing

What kind of sampling strategy is involved?

A.

This sampling strategy is

a voluntary response samplea voluntary response sample.

B.

This sampling strategy is

stratified samplingstratified sampling.

C.

This sampling strategy is

convenience samplingconvenience sampling.

D.

This sampling strategy is

an attempt at a censusan attempt at a census.

What kind of bias (if any) is most likely to result?

A.

Voluntary response bias could result because those with strong opinions are moreVoluntary response bias could result because those with strong opinions are more

likely to respond comma and thus comma the sample would not be representative of the population.likely to respond, and thus, the sample would not be representative of the population.

B.

Bias could result since the customers in the sample may not be representativeBias could result since the customers in the sample may not be representative

of all customers.of all customers.

C.

Bias could result if the order of the sampling frame is associated with theBias could result if the order of the sampling frame is associated with the

responses.responses.

(b)

Divide the bank records into 26 groups according to the customer's name. Hire aDivide the bank records into 26 groups according to the customer's name. Hire a

company to randomly select and interview people in one of the groups.company to randomly select and interview people in one of the groups.

What kind of sampling strategy is involved?

A.

This sampling strategy is

an attempt at a censusan attempt at a census.

B.

This sampling strategy is

stratified samplingstratified sampling.

C.

This sampling strategy is

a voluntary response samplea voluntary response sample.

D.

This sampling strategy is

convenience samplingconvenience sampling.

What kind of bias (if any) is most likely to result?

A.

Voluntary response bias could result because those with strong opinions are moreVoluntary response bias could result because those with strong opinions are more

likely to respond comma and thus comma the sample would not be representative of the population.likely to respond, and thus, the sample would not be representative of the population.

B.

Bias could result since the customers in the sample may not be representativeBias could result since the customers in the sample may not be representative

of all customers.of all customers.

C.

Bias could result if the order of the sampling frame is associated with theBias could result if the order of the sampling frame is associated with the

responses.responses.

(c)

Sponsor a commercial during a TV program comma asking people to call and giveSponsor a commercial during a TV program, asking people to call and give

their opinion.their opinion.

What kind of sampling strategy is involved?

A.

This sampling strategy is

a voluntary response samplea voluntary response sample.

B.

This sampling strategy is

convenience samplingconvenience sampling.

C.

This sampling strategy is

stratified samplingstratified sampling.

D.

This sampling strategy is

an attempt at a censusan attempt at a census.

What kind of bias (if any) is most likely to result?

A.

Voluntary response bias could result because those with strong opinions are moreVoluntary response bias could result because those with strong opinions are more

likely to respond comma and thus comma the sample would not be representative of the population.likely to respond, and thus, the sample would not be representative of the population.

B.

Bias could result if the order of the sampling frame is associated with theBias could result if the order of the sampling frame is associated with the

responses.responses.

C.

Bias could result since the customers in the sample may not be representativeBias could result since the customers in the sample may not be representative

of all customers.of all customers.

(d)

Send a survey to every customer's home comma and ask the customers to fill it out and return itSend a survey to every customer's home, and ask the customers to fill it out and return it

within a week.within a week.

What kind of sampling strategy is involved?

A.

This sampling strategy is

stratified samplingstratified sampling.

B.

This sampling strategy is

convenience samplingconvenience sampling.

C.

This sampling strategy is

a voluntary response samplea voluntary response sample.

D.

This sampling strategy is

an attempt at a censusan attempt at a census.

What kind of bias (if any) is most likely to result?

A.

Bias could result since the customers in the sample may not be representativeBias could result since the customers in the sample may not be representative

of all customers.of all customers.

B.

Voluntary response bias could result because those with strong opinions are moreVoluntary response bias could result because those with strong opinions are more

likely to respond comma and thus comma the sample would not be representative of the population.likely to respond, and thus, the sample would not be representative of the population.

C.

Bias could result if the order of the sampling frame is associated with theBias could result if the order of the sampling frame is associated with the

responses.

Explanation / Answer

a)

This sampling strategy is a convenience sampling and Bias could result if the order of the sampling frame is associated with the responses.

b)

This sampling strategy is stratified sampling and Bias could result since the customers in the sample may not be representative.

c)

This sampling strategy is a voluntary response sample and voluntary response bias could result because those with strong opinions are more likely to respond.

d) Attempted census. Will have nonresponse bias.

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