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 15 men had a mean height of 70.7 inches with a standard deviation of 3.24 inches. A random sample of 88 women had a mean height of 63.4 inches with a standard deviation of 2.44 inches. Determine the 98% 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 2 of 3:

Find the standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to two decimal places.

Answer 1

Standard Error =

Confidence interval is :-

Lower Limit =
Lower Limit = 5.6058
Upper Limit =
Upper Limit = 8.9942
98% Confidence Interval is ( 5.61  , 8.99 )