## In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data

Question

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data have been gathered. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 Refer to Exhibit 10-7. A 95% interval estimate for the difference between the two population means is

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2021-10-08T08:00:08+00:00
2021-10-08T08:00:08+00:00 1 Answer
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## Answers ( )

Answer:And we are 9% confidence that the true mean for the difference of the population means is given by:

Step-by-step explanation:For this problem we have the following data given:

represent the sample mean for one of the departments

represent the sample mean for the other department

represent the sample size for the first group

represent the sample size for the second group

represent the deviation for the first group

represent the deviation for the second group

Confidence intervalThe confidence interval for the difference in the true means is given by:

The confidence given is 95% or 9.5, then the significance level is and . The degrees of freedom are given by:

And the critical value for this case is

And replacing we got:

And we are 9% confidence that the true mean for the difference of the population means is given by: