Question: Sometimes drugs are recalled because of failure to meet “content uniformity” requirements. Suppose that “content uniformity” is expressed in terms of variance. For example, suppose a “content uniformity” requirement specifies that the variance in the amount of Phenobarbital in tablets is supposed to be less than or equal to 0.015 grams².

The satisfaction of this requirement is being evaluated in a simple random sample of 30 tablets. For this sample, the sample standard deviation was found to be s=0.14 grams. Carry out the appropriate statistical hypothesis test to assess compliance with the content uniformity specification of variance less than or equal to 0.015 grams². In developing your answer, address the following:

a. What is the null hypothesis?

b. What is the alternative hypothesis?

c. (2 points) What is the appropriate test statistic and what is its value for these data?

d. What is the p-value?

e. In 1-2 sentences at most, what is your interpretation and conclusion?