Question

No tipping The owner of a large restaurant is considering a new "no tipping" policy and wants to survey a sample of employees. The policy would add $20\%$ to the cost of food and beverages and the additional revenue would be distributed equally among servers and kitchen staff. Describe how to select a stratified random sample of approximately $30$ employees. Explain your choice of strata and why stratified random sampling might be preferred in this context.

Short answer

Strata is a type of employee and SRS is preferred in this context because of the difference in the opinions of kitchen employees and servers.

Step-by-step solution

Given information

We need to find the strata and reason for the SRS preference in this context.

Explanation

Simple random samples are obtained from independent subgroups using stratified random sampling (stratum).

Various types of employees may have different perspectives on the "no tipping" regulation. Serves, for example, will be more inclined to oppose the "no tipping" policy because they receive tips, whereas kitchen employees will be in favor of the regulation since they never receive tips.

The type of employee might then be used as the stratum, allowing us to account for the differences in viewpoints between servers and kitchen personnel.

We could then choose $15$servers and $15$kitchen personnel at random to be included in the study. Then we ask each of these employees for their thoughts.