Question

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: | | n | x? | s | |---|---|---|---| | A | 9 | 1480 | 415 | | B | 7 | 1162 | 214 | 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? Problem #4(a): 118041.14 answer correct to 2 decimals Problem #4(b): 2.977 answer correct to 3 decimals Problem #4(c): answer correct to 4 decimals

          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:

| | n | x? | s |
|---|---|---|---|
| A | 9 | 1480 | 415 |
| B | 7 | 1162 | 214 |

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?
Problem #4(a): 118041.14 answer correct to 2 decimals
Problem #4(b): 2.977 answer correct to 3 decimals
Problem #4(c): answer correct to 4 decimals

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:

| | n | x? | s |
|—|—|—|—|
| A | 9 | 1480 | 415 |
| B | 7 | 1162 | 214 |

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?
Problem #4(a): 118041.14 answer correct to 2 decimals
Problem #4(b): 2.977 answer correct to 3 decimals
Problem #4(c): answer correct to 4 decimals

Added by Travis F.

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