A student researcher compares the heights of men and women fromthe student body of a certain college in order to estimate thedifference in their mean heights. A random sample of 18 men had amean height of 71.4 inches with a standard deviation of 1.68inches. A random sample of 10 women had a mean height of 65 incheswith a standard deviation of 3.01 inches. Determine the 98%confidence interval for the true mean difference between the meanheight of the men and the mean height of the women. Assume that thepopulation variances are equal and that the two populations arenormally distributed.
Step 1 of 3: Find the critical value that should be used inconstructing the confidence interval. Round your answer to threedecimal places.
Step 2 of 3: Find the standard error of the samplingdistribution to be used in constructing the confidence interval.Round your answer to two decimal places.
Step 3 of 3: Construct the 98% confidence interval. Round youranswers to two decimal places.
