Testing Claims about Variation. In Exercises 516, test the

Chapter 8, Problem 5

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QUESTION:

Testing Claims about Variation. In Exercises 516, test the given claim. Identifythe null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s),conclusion about the null hypothesis, and final conclusion that addresses the originalclaim. Assume that a simple random sample is selected from a normally distributedpopulation. Cans of Coke Data Set 19 in Appendix B includes volumes (oz) of a simple randomsample of 36 cans of regular Coke. Those volumes have a mean of 12.19 oz and a standarddeviation of 0.11 oz, and they appear to be from a normally distributed population. If wewant the filling process to work so that almost all cans have volumes between 11.8 oz and12.4 oz, the range rule of thumb can be used to estimate that the standard deviation should beless than 0.15 oz. Use the sample data to test the claim that the population of volumes has astandard deviation less than 0.15 oz. Use a 0.05 significance level.

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QUESTION:

Testing Claims about Variation. In Exercises 516, test the given claim. Identifythe null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s),conclusion about the null hypothesis, and final conclusion that addresses the originalclaim. Assume that a simple random sample is selected from a normally distributedpopulation. Cans of Coke Data Set 19 in Appendix B includes volumes (oz) of a simple randomsample of 36 cans of regular Coke. Those volumes have a mean of 12.19 oz and a standarddeviation of 0.11 oz, and they appear to be from a normally distributed population. If wewant the filling process to work so that almost all cans have volumes between 11.8 oz and12.4 oz, the range rule of thumb can be used to estimate that the standard deviation should beless than 0.15 oz. Use the sample data to test the claim that the population of volumes has astandard deviation less than 0.15 oz. Use a 0.05 significance level.

ANSWER:

Step 1 of 3

Given data

Number of cans:

Mean volume of cans:

Standard deviation of volume of cans:

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