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 1111 men had a mean height of 70.870.8 inches with a standard deviation of 2.432.43 inches. A random sample of 1717 women had a mean height of 66.366.3 inches with a standard deviation of 2.322.32 inches. Determine the 98%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 3 of 3 : Construct the 98%98% confidence interval. Round your answers to two decimal places.
