A student researcher compares the heights of men and women from the student body of a certain college in order to estima
Posted: Mon Jul 11, 2022 11:43 am
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 sampleof 15 men had a mean height of 70.5 inches with astandard deviation of 1.69 inches. A random sampleof 5 women had a mean height of 67.2 inches with astandard deviation of 3.13 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 the nearest whole number.
Step 3 of 3: Construct the 95% confidence interval. Round youranswers to the nearest whole number. Both lower and upperendpoint.
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 the nearest whole number.
Step 3 of 3: Construct the 95% confidence interval. Round youranswers to the nearest whole number. Both lower and upperendpoint.