A bottling company claims that the variance of the amount of sports drink in a 12-ounce bottle is no more than 0.40. A random sample of 31 bottles has a variance of 0.75. At a = 0.01, is there enough...

A bottling company claims that the variance of the amount of sports drink in a 12-ounce bottle is no more than 0.40. A random sample of 31 bottles has a variance of 0.75. At a = 0.01, is there enough evidence to reject the company’s claim? Assume the population is normally distributed.

a. Identify the claim and state H0 and Ha.

b. Identify the level of significance a and the degrees of freedom.

c. Find the critical value x20 and identify the rejection region.

d. Find the standardized test statistic x2.

e. Decide whether to reject the null hypothesis. Use a graph if necessary.

f. Interpret the decision in the context of the original claim.