Explanation Calculation: The two sample t statistic is, t = ( x ¯ 1 − x ¯ 2 ) − ( μ 1 − μ 2 ) s 1 2 n 1 + s 2 2 n 2 In the formula, μ 1 is mean of first population, μ 2 is mean of second population, x ¯ 1 is the sample mean from population 1, x ¯ 2 is the sample mean from population 2, s 1 2 sample variance of population 1, s 2 2 is sample variance of population 2, n 1 is the sample size from population 1 and n 2 is the sample size from population 2. Let μ 1 denotes the violent crime rate in New England, μ 2 denotes the violent crime rate in the rocky mountain region. From the given information the value of α is 0.01, and the data indicate that the violent crime rate in the rocky mountain region is higher than that in New England. The null and alternative hypothesis is, Null hypothesis: H 0 : μ 1 = μ 2 Alternative hypothesis: H 1 : μ 1 < μ 2 The sample value is, x ¯ 1 − x ¯ 2 = 3.51 − 3.87 = − 0.36 The value of x ¯ 1 − x ¯ 2 is –0.36. T-statistic : Substitute x ¯ 1 as 3.51, x ¯ 2 as 3.87, μ 1 − μ 2 as 0, s 1 as 0

Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Chapter 8.5, Problem 37P

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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 8.5, Problem 36P

Chapter 8.5, Problem 38P

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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.