Question

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 Ho u= 355 against the alternative hypothesis Ha u <355 . From a random sample of 12 bottles, we get a sample mean of  and sample standard deviation, s = 2 ml.  Answer the following questions.

Part 1:  (3 points ) Define the type of test statistic we will use.

Part 2:  (3 points ) Calculate the test statistic.

Part 3:  (3 points ) Define the rejection region using .05 significance level.

Part 4:  (3 points ) Determine the p-value of this test.

Part 5:  (4 points ) Give the decision and conclusion in context of this problem.

Answer 1