Testing Claims about Variation. In Exercises 516, test the

Chapter 8, Problem 7

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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. Weights of Pennies Data Set 21 in Appendix B includes a simple random sample of 37weights of post-1983 pennies. Those 37 weights have a mean of 2.49910 g and a standard deviation of 0.01648 g. U.S. Mint specifications require that pennies be manufactured sothat the mean weight is 2.500 g. A hypothesis test will verify that the sample appears to comefrom a population with a mean of 2.500 g as required, but use a 0.05 significance level to testthe claim that the population of weights has a standard deviation less than the specification of0.0230 g