Chapter 6, Problem 5SE

Suppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz):

15.87    16.02    15.78    15.83    15.69    15.81

16.04    15.81    15.92    16.10

On the basis of these data, can you conclude that the mean fill weight is actually less than 16 oz?

1. a. State the appropriate null and alternate hypotheses.
2. b. Compute the value of the test statistic.
3. c. Find the P-value and state your conclusion.