Let X equal the number of milliliters in a bottle that has a label volume of 350 ml. Assume that the distribution of X is normal. We want to test the null hypothesis against the alternative hypothesis . From a random sample of 12 bottles, we get a sample mean of and a sample standard deviation, s = 2 ml. Answer the following questions A. Define the type of test statistic we will use.
B. Calculate the test statistic.
C. Define the rejection region using.
D. Determine the p-value of this tes.
E. Give the decision and conclusion in context of this problem.