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Answer: Testing Claims about Variation. In Exercises, test

Chapter 8, Problem 8BSC

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QUESTION:

Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P­-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.

Weights of Pennies The preceding exercise involved the claim that post­-1983 pennies have weights with a standard deviation less than 0.0230 g. Data Set 21 in Appendix B includes the weights of a simple random sample of 35 pre-­1983 pennies, and that sample has a standard deviation of 0.03910 g. Use a 0.05 significance level to test the claim that pre­-1983 pennies have weights with a standard deviation greater than 0.0230 g. Does it appear that weights of pre­-1983 pennies vary more than those of post­-1983 pennies?

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QUESTION:

Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P­-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.

Weights of Pennies The preceding exercise involved the claim that post­-1983 pennies have weights with a standard deviation less than 0.0230 g. Data Set 21 in Appendix B includes the weights of a simple random sample of 35 pre-­1983 pennies, and that sample has a standard deviation of 0.03910 g. Use a 0.05 significance level to test the claim that pre­-1983 pennies have weights with a standard deviation greater than 0.0230 g. Does it appear that weights of pre­-1983 pennies vary more than those of post­-1983 pennies?

ANSWER:

Solution 8BSC

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