Question

A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 14 men had a mean height of 69.8 inches with a standard deviation of 2.51 inches. A random sample of 5 women had a mean height of 65.8 inches with a standard deviation of 2.17 inches. Determine the 90% confidence interval for the true mean difference between the mean height of the men and the mean height of the women. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answer 1

Confidence interval is :-

Lower Limit =
Lower Limit = 1.7938
Upper Limit =
Upper Limit = 6.2062
90% Confidence Interval is ( 1.794 , 6.206 )