Question
You may need to use the appropriate appendix table or technology to answer this question. Independent random samples taken at two companies provided the following
You may need to use the appropriate appendix table or technology to answer this question.
Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. The population standard deviations are also given below.
Company A | Company B | |
---|---|---|
Sample Size | 77 | 53 |
Sample Mean (in $1,000) | 43 | 37 |
Population Standard Deviation (in $1,000) | 11 | 13 |
We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies.
(a)Compute the test statistic. (Use Company A Company B. Round your answer to four decimal places.)
(b)Compute the p-value. (Round your answer to four decimal places.)
p-value =
(c)At = 0.05, test the hypotheses.
We do not reject H0. There is no significant difference.
We do not reject H0. There is a significant difference.
We reject H0. There is no significant difference.
We reject H0. There is a significant difference.
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