Chapter 8.5, Problem 8E

For Exercises 5 through 20, assume that the variables are normally or approximately normally distributed. Use the traditional method of hypothesis testing unless otherwise specified.

8. Soda Bottle Content A machine fills 12-ounce bottles with soda. For the machine to function properly, the standard deviation of the population must be less than or equal to 0.03 ounce. A random sample of 8 bottles is selected, and the number of ounces of soda in each bottle is given. At α = 0.05, can we reject the claim that the machine is functioning properly? Use the P-value method.