Question
5. No tipping The owner of a large restaurant is considering a new "no tipping" policy and wants to survey a sample of employees using a stratified random sample. The policy would add 20% to the price of food and beverages, and the additional revenue would be distributed equally among servers and kitchen staff. a. What would be a good variable to use when forming strata?Explain your answer. b. What would not be a good variable to use when forming strata? Explain your answer. c. Using the variable identified in part (a)describe how to select a stratified random sample of approximately 30 employees.
Answer
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Dexter
Elite · Tutor for 8 years
Answer
a. Job role (e.g., servers vs. kitchen staff) is a good variable for forming strata.b. Age is not a good variable for forming strata.c. Divide employees into two strata (servers and kitchen staff), then randomly select a proportional number of employees from each stratum to form a sample of approximately 30 employees.
Explanation
a. A good variable to use when forming strata would be the job role (e.g., servers vs. kitchen staff). This is because the new policy directly affects these two groups differently, and their opinions may vary significantly. Stratifying by job role ensures that both groups are adequately represented in the sample, providing a more accurate reflection of the overall employee sentiment.b. A variable that would not be good to use when forming strata is the age of the employees. While age might influence individual opinions, it does not directly relate to the impact of the new policy. Stratifying by age might not provide useful insights into how the policy affects different job roles within the restaurant.c. To select a stratified random sample of approximately 30 employees using the job role variable, first divide the employees into two strata: servers and kitchen staff. Then, randomly select a proportional number of employees from each stratum. For example, if there are 60 servers and 40 kitchen staff, you might select 18 servers and 12 kitchen staff to maintain the same ratio in your sample.