?Cans of Coke Data Set 26 “Cola Weights and Volumes” in Appendix B includes volumes (oz)

Chapter 8, Problem 1

(choose chapter or problem)

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, \(s=0.2684\). 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?

12.078 11.851 12.108 11.760 12.142 11.779 12.397 11.504 12.147 12.238

Text Transcription:

n=10

\barx=12.0004

s=0.2684