Explanation Given info: The data shows that the speed of the swimmers both with and without a wetsuit and the level of significance is 0.05. Calculation: The claim is that “the data suggest that wet suits allow a swimmer to swim faster”. The hypotheses are given below: Null hypothesis: H 0 : μ d = 0 Alternative hypothesis: H 1 : μ d > 0 (claim) Test statistic: Software Procedure: Step-by-step procedure to obtain the test statistic and P -value using the MINITAB software: Choose Stat > Basic Statistics > Paired t . In FirstSample , enter the column of With . In Second Sample , enter the column of Without . Check Options , enter Confidence level as 95.0 . Choose Greater than in alternative . Click OK in all dialogue boxes. Output using the MINITAB software is given below: From the MINITAB output, the test statistic t 0 is 12.32 and the P - value is 0.000. Critical valueright-tailed test: Degrees of freedom: n − 1 = 12 − 1 = 11 From Table VII: The critical value for right tailed test for 11 degrees of freedom with level significance 0.05is t 0.05 = 1.796 . Decision criteria for the classical approach: If t 0 > t α , reject the null hypothesis ( H 0 ) . Conclusion based on classical approach: The test statistic is 12.32 and the critical value is 1.796. Here, test statistic is greater than the critical value. That is 12.32 ( = t 0 ) > 1

Fundamentals of Statistics (5th Edition)

5th Edition

ISBN: 9780134508306

Author: Michael Sullivan III

Publisher: PEARSON

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Chapter 11.4, Problem 12AYU

To determine

To conduct: The appropriate test to determine whether the data suggest that wet suits allow a swimmer to swim faster.

To estimate: The average difference in speed of the swimmer with the wet suit with 95% confidence.

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Chapter 11.4, Problem 11AYU

Chapter 11.4, Problem 13AYU

Chapter 11 Solutions

Fundamentals of Statistics (5th Edition)

Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - Prob. 8AYU Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...

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To conduct: The appropriate test to determine whether the data suggest that wet suits allow a swimmer to swim faster. To estimate: The average difference in speed of the swimmer with the wet suit with 95% confidence.

Solution Summary: The author explains that there is sufficient evidence to support the claim that wet suits allow swimmers to swim faster.

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To conduct: The appropriate test to determine whether the data suggest that wet suits allow a swimmer to swim faster. To estimate: The average difference in speed of the swimmer with the wet suit with 95% confidence.

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Chapter 11 Solutions

To conduct: The appropriate test to determine whether the data suggest that wet suits allow a swimmer to swim faster.

To estimate: The average difference in speed of the swimmer with the wet suit with 95% confidence.