12th Edition

ISBN: 9780321836960

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 8.5, Problem 7BSC

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.

7. Weights of Pennies Data Set 21 in Appendix B includes a simple random sample of 37 weights 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 so that the mean weight is 2.500 g. A hypothesis test will verify that the sample appears to come from a population with a mean of 2.500 g as required, but use a 0.05 significance level to test the claim that the population of weights has a standard deviation less than the specification of 0.0230 g.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 8.5, Problem 6BSC

Chapter 8.5, Problem 8BSC

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Chapter 8 Solutions

Elementary Statistics

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Solution Summary: The author explains the null hypothesis and alternative hypothesis, and concludes that the weights population has a standard deviation less than 0.0230g.

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