A federal agency responsible for enforcing laws governing weights and measures routinely inspects packages to determine whether the weight of the contents is as advertised on the package. The agency will only take action if there is strong evidence that the packages are underfilled. A random sample of 14 containers was taken and the contents weighed, with the weights given below. The containers are labeled to have 9 ounces. In your role as a member of this crack federal team, you are to specify and carry out an appropriate hypothesis test to determine whether there is enough evidence to support this claim. (Use a 6% significance level.)

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form is expressed (-infty, a), an answer of the form is expressed (b, infty), and an answer of the form is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:





In order to get credit for this problem all answers must be correct.