Chapter 12, Problem 32E

(a)

To determine

To explain do you see any potential danger in the company’s plan.

Explanation of Solution

It is given in the question that a manufacturing company employees project managers, foremen and labourers. In an effort to keep informed about any possible source of employee discontent, management wants to conduct a job satisfaction interviews with a sample of employees every month. Thus, any potential danger we see in the company’s plan is that it is likely that all labourers are selected, no managers, and few foremen. Bias may be introduced because the company itself is conducting the survey.

(b)

To determine

To propose a sampling strategy that uses a simple random sample.

Explanation of Solution

It is given in the question that a manufacturing company employees project managers, foremen and labourers. In an effort to keep informed about any possible source of employee discontent, management wants to conduct a job satisfaction interviews with a sample of employees every month. Thus, a sampling strategy that uses a simple random sample will be to assign a number from $\text{001 to 439}$ to each employee. Use a random number generator to select the sample, making sure to ignore repeats.

(c)

To determine

To explain why do you think a simple random sample might not provide the representative opinion the company seeks.

Explanation of Solution

It is given in the question that a manufacturing company employees project managers, foremen and labourers. In an effort to keep informed about any possible source of employee discontent, management wants to conduct a job satisfaction interviews with a sample of employees every month. Thus, we think that a simple random sample might not provide the representative opinion the company seeks still heavily favours the labourers.

(d)

To determine

To propose a better sampling strategy.

Explanation of Solution

It is given in the question that a manufacturing company employees project managers, foremen and labourers. In an effort to keep informed about any possible source of employee discontent, management wants to conduct a job satisfaction interviews with a sample of employees every month. Thus, a better sampling strategy will be that we should stratify by job type and make sure that there are a proportionate number of members in each.

(e)

To determine

To explain your method carefully.

Explanation of Solution

It is given in the question that a manufacturing company employees project managers, foremen and labourers. In an effort to keep informed about any possible source of employee discontent, management wants to conduct a job satisfaction interviews with a sample of employees every month. Thus, we will assign number $01-14$ to each person. And then use a random number generator to select two people, ignoring all repeats.