Got Milk? One measure of milk production in the United States is the amount (in gallons) produced per cow. Milk production is affected by weather, feed, and other environmental factors. A random sample of the amount of milk produced per cow per quarter is given on the text website.35
a. Find a 95% confidence interval for the true population variance of milk produced per cow per quarter. Write a Solution Trail for this problem.
b. What assumption(s) did you make in constructing this confidence interval?
c. Find a 95% confidence interval for the true population standard deviation of milk produced per cow per quarter.
d. The U.S. Department of Agriculture claims the standard deviation of milk produced per cow per quarter is 400 gallons. Is there any evidence to refute this claim? Justify your answer.