Chapter 8.4, Problem 1BSC

Cans of Coke Data Set 26 “Cola Weights and Volumes” in Appendix B includes volumes (oz) of regular Coke. Based on that data set, assume that the cans are produced so that the volumes have a standard deviation of 0.115 oz. A new filling process is being tested for filling cans of cola, and a random sample of volumes is listed below. The sample has these summary statistics: n = 10, $\bar{x}$ = 12.0004 oz, s = 0.2684 oz. If we want to use the sample data to test the claim that the sample is from a population with a standard deviation equal to 0.115 oz, what requirements must be satisfied? How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean?