Explanation Given info: In appendix B, data set 21 consist of a simple random sample of wheat pennies. The U.S Mint Specifications use weight pennies standard deviation 0.0230 g. Also, the level of significance is 0.01. Calculation: The claim is to test the manufactured wheat pennies weights have standard deviation equal to 0.0230 g represents the null hypothesis and level of significance is 1%. The hypotheses are given below: Null hypothesis: H 0 : σ = 0.0230 g That is, the wheat pennies weights have standard deviation equal to 0.0230 g. Alternative hypothesis: H 1 : σ ≠ 0.0230 g That is, the wheat pennies weights have standard deviation not equal to 0.0230 g. Test statistic: Software procedure: Step-by-step procedure to obtain the test statistic and P -value using the MINITAB software: Choose Stat > Basic Statistics > 1 Variance . Under Data , choose Sample in columns In columns enter column as Wheat pennies . In Perform hypothesis test, enter the test standard deviation as 0.0230 Check Options , enter Confidence level as 99.0 . Choose not equal to in alternative . Click OK in all dialog boxes Output using the MINITAB software is given below: Thus, the test statistic is 154.04 and the P -value is 0

Elementary Statistics with Student Access Kit

12th Edition

ISBN: 9780321869470

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 8.5, Problem 18BSC

To determine

To identify: The null hypothesis, alternative hypothesis, test statistic, P-value, critical value and state the conclusion.

To test: The claim that the wheat pennies manufactured has a standard deviation is equal to 0.0230g.

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Chapter 8.5, Problem 17BSC

Chapter 8.5, Problem 19BB

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Chapter 8 Solutions

Elementary Statistics with Student Access Kit

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The null hypothesis, alternative hypothesis, test statistic, P -value, critical value and state the conclusion. To test: The claim that the wheat pennies manufactured has a standard deviation is equal to 0.0230g.

Solution Summary: The author explains the null hypothesis and alternative hypothesis, and concludes that there is sufficient evidence to support the claim.

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To identify: The null hypothesis, alternative hypothesis, test statistic, P-value, critical value and state the conclusion.

To test: The claim that the wheat pennies manufactured has a standard deviation is equal to 0.0230g.

Want to see the full answer?

Chapter 8 Solutions

The null hypothesis, alternative hypothesis, test statistic, P -value, critical value and state the conclusion. To test: The claim that the wheat pennies manufactured has a standard deviation is equal to 0.0230g.

Solution Summary: The author explains the null hypothesis and alternative hypothesis, and concludes that there is sufficient evidence to support the claim.

Concept explainers

Videos

To identify: The null hypothesis, alternative hypothesis, test statistic, P-value, critical value and state the conclusion. To test: The claim that the wheat pennies manufactured has a standard deviation is equal to 0.0230g.

Want to see the full answer?

Chapter 8 Solutions

To identify: The null hypothesis, alternative hypothesis, test statistic, P-value, critical value and state the conclusion.

To test: The claim that the wheat pennies manufactured has a standard deviation is equal to 0.0230g.