A local bottler in Hawaii wishes to ensure that an average of 16 ounces of passion fruit juice is used to fill each bottle. In order to analyze the accuracy of the bottling process, he takes a random sample of 48 bottles. The mean weight of the passion fruit juice in the sample is 15.80 ounces. Assume that the population standard deviation is 0.8 ounce.

a. State the null and the alternative hypotheses for the test.

b. Use the critical value approach to test the bottler’s concern at α = 0.05.

c. Make a recommendation to the bottler.