Explanation Calculation: Test statistic for t : The t statistic value for sample test statistic d ¯ is, t = d ¯ − μ d ( s d n ) In the formula d ¯ is sample test statistic, μ d is specified in H 0 , s σ is sample standard deviation of the differences d , and n is the number of data pairs. Let μ d denotes the population mean of the differences. From the given information the value of α is 0.01, and the population mean of peak wind gusts in January is higher than the population mean of peak wind gusts in April. The null and alternative hypothesis is, Null hypothesis: H 0 : μ d = 0 Alternative hypothesis: H 1 : μ d > 0 T-statistic : Substitute d ¯ as 12.6, μ d as 0, s σ as 22.7, and n as 5 in the test statistic formula t = 12.6 − 0 ( 22.7 5 ) = 12

Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Chapter 8.4, Problem 24P

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Check whether the null hypothesis is rejecting or fail to reject by using the critical region method.

Compare the conclusion of critical value method with the P-value method.

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Chapter 8.4, Problem 23P

Chapter 8.5, Problem 1P

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Check whether the null hypothesis is rejecting or fail to reject by using the critical region method. Compare the conclusion of critical value method with the P -value method.

Solution Summary: The author compares the conclusion of critical value method with the P -value method. The null hypothesis is not rejected.

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Check whether the null hypothesis is rejecting or fail to reject by using the critical region method.

Compare the conclusion of critical value method with the P-value method.

Want to see the full answer?

Chapter 8 Solutions

Check whether the null hypothesis is rejecting or fail to reject by using the critical region method. Compare the conclusion of critical value method with the P -value method.

Solution Summary: The author compares the conclusion of critical value method with the P -value method. The null hypothesis is not rejected.

Videos

Check whether the null hypothesis is rejecting or fail to reject by using the critical region method. Compare the conclusion of critical value method with the P-value method.

Want to see the full answer?

Chapter 8 Solutions

Check whether the null hypothesis is rejecting or fail to reject by using the critical region method.

Compare the conclusion of critical value method with the P-value method.