The owner of a clothes store wants to determine whether salespeople make more sales if they spend more time with customers. She randomly selects two salespersons from her shop and records the times (in minutes) with each customer during a period of 15 days. At the same time, she records the total sales made by each. The total sales made by the salespersons are $578 and $695, respectively. The following are the durations recorded:

Salesperson A 16 9 18 21 6 26 30 17 15 29 45 27 34 52 Salesperson B 10 15 4 34 45 34 18 24 43 19 21 14 9 28

a. Calculate the mean and standard deviation of the amount of time a customer is served by each salesperson. Using each mean, determine whether a salesperson makes more sales if they spend more time with a customer.

b. Use your findings for part

a, determine the variation for each salesperson.

c. Explain whether the standard variation values, calculated in part

a, can be used to compare the dispersion between the two salespersons. Explain and show how the two can be compared.