(a) Explanation Calculation: Let μ 1 denotes the mean number of cases of fox rabies for region I, μ 2 denotes the mean number of cases of fox rabies for region II. Assume equal variance. From the given information the value of α is 0.05, and there is a difference in the mean number of cases of fox rabies between the two regions. The null and alternative hypothesis is, Null hypothesis: H 0 : μ 1 = μ 2 Alternative hypothesis: H 1 : μ 1 ≠ μ 2 Test statistic and P-value: Step by step procedure to obtain test statistic and P -value using MINITAB software is given below: Choose Stat > Basic Statistics > 2-Sample t . Choose Summarized data . In first, enter Sample size as 16 , Mean as 4.75 , Standard deviation as 2.82 . In second, enter Sample size as 15 , Mean as 3.93 , Standard deviation as 2 (b) To determine Compare the t value obtained in part (a) using the pooled standard deviation with the t value obtained using the unpooled standard deviation Give comparison for the degrees of freedom for the sample test statistic. Give comparison the conclusions.

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 28P

(a)

To determine

Check whether there was a difference in population mean average incidence of rabies at the 5% level of significance or not.

(b)

To determine

Compare the t value obtained in part (a) using the pooled standard deviation with the t value obtained using the unpooled standard deviation

Give comparison for the degrees of freedom for the sample test statistic.

Give comparison the conclusions.

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Chapter 8 Solutions

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Check whether there was a difference in population mean average incidence of rabies at the 5% level of significance or not.

Solution Summary: The author evaluates whether there is a difference in the population mean average incidence of rabies at the 5% level of significance or not.

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Check whether there was a difference in population mean average incidence of rabies at the 5% level of significance or not.

Compare the t value obtained in part (a) using the pooled standard deviation with the t value obtained using the unpooled standard deviation Give comparison for the degrees of freedom for the sample test statistic. Give comparison the conclusions.

Chapter 8 Solutions

Compare the t value obtained in part (a) using the pooled standard deviation with the t value obtained using the unpooled standard deviation

Give comparison for the degrees of freedom for the sample test statistic.

Give comparison the conclusions.