Problem #4: The manager at a clothing store would like to compare the sales of two employees, Employee A and Employee B. The daily sales (in $) for the two employees are recorded for random sample of days and some summary statistics are below: Problem #4(a): 72 A 10 B 12 1523 413 1242 240 We assume that the daily sales of each employee is normally distributed and they share a common variance. (a) What is the estimate of the common variance of their daily sales? (b) What is the critical value if we wish to conduct a test at 1% level of significance to determine if there is a difference in their true mean daily sales? (c) What is the p-value of the test? answer correct to 2 decimals Problem #4(b): answer correct to 3 decimals Problem #4(c): answer correct to 4 decimals

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