Question

Suppose you wanted to compare the average working time bf customer service from two companies. 9 representatives were randomly selected from a insurance company and 20 representatives were randomly selected from an airline company and their working time (in hours) in the past week were recorded. Which of the following tests would be suitable?

a. Paired t-test
b. Two-sample t-test
c. Two-proportions z-test
d. One-sample t-test

Answer 1

The most suitable test for comparing the average working time of customer service representatives from two companies is the two-sample t-test because it is designed to compare means from two independent groups.

Step-by-step explanation:

To compare the average working time of customer service representatives from two different companies, the appropriate statistical test is a two-sample t-test. This test is used when you want to compare the means of two independent groups to determine if there is a statistically significant difference between them. The two-sample t-test is suitable because you are comparing the average working times from two unrelated groups of individuals, the insurance company, and the airline company.

Paired t-tests would not be suitable as they are used for related groups, such as before-and-after measurements or matches pairs. A two-proportions z-test is also inappropriate since we are not comparing proportions but means. Lastly, a one-sample t-test is used when comparing a single sample mean to a known value, not applicable in this scenario involving two groups.