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 S) for the two employees are recorded for random sample of days and some summary statistics are below: Problem #4(a): Problem #4(b): Problem #4(c): A B S X 1515 419 202 n 7 11 1199 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 5% 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 answer correct to 3 decimals answer correct to 4 decimals

MATLAB: An Introduction with Applications
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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 S) for the two employees are recorded for random sample of days and some summary statistics
are below:
Problem #4(a):
Problem #4(b):
Problem #4(c):
n
X
DOZA
А 7 1515 419
11
1199
B
S
202
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 5% 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
answer correct to 3 decimals
answer correct to 4 decimals
Transcribed Image Text: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 S) for the two employees are recorded for random sample of days and some summary statistics are below: Problem #4(a): Problem #4(b): Problem #4(c): n X DOZA А 7 1515 419 11 1199 B S 202 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 5% 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 answer correct to 3 decimals answer correct to 4 decimals
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