4. Do Problem 22 on page 31. Make sure to state your final answer in a complete

Question

4. Do Problem 22 on page 31. Make sure to state your final answer in a complete units). 5. onsider the data from Harris Bank that you first looked at in Question 1 above. a) Calculate a 95% confidence interval for the mean salary of women and a 95% confidence interval for the mean salary of men. You may use the means and -standard deviations you calculated for that problem, but do the calculations in this problem by hand (and show your work). [Note: I prefer you to use the no matter the sample size. If you degrees of freedom on the table, use the next smaller df that is listed on the table.] b) State your final answers in complete sentences that relate to the real-world meaning of this data set (including correct units). c) Do the confidence intervals you calculated support the conclusion that there is a significant difference in salaries between men and women? Briefly explain.

Explanation / Answer

Answer to part c)

based on the working of part a and b, we got confidence interval of mean salary of women as $5001 - $5277 and confidence interval of mean salary of men as $5708-$6206. We can observe that the two intervals have no values in common at all. The upper limit of mean salary of women is less than the lower limit of mean salary of men. Thus we would conclude that there is significant difference in the mean salary of men and women.

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