Explanation Given info: The data shows that the output in revolutions per minute (rpm) of 10 motors was compared and the level of significance is 0.05. Calculation: The claim that there is difference in the motors’ performance were presented is alternative hypothesis. Thus, the null hypothesis is there is no difference in the motors’ performance. The hypotheses are given below: Null hypothesis: H 0 : There is no difference in the motors’ performance. Alternative hypothesis: H 1 : There is difference in the motors’ performance. Critical value: The data represent the value for α is 0.05. The alternative hypothesis is denoted as the two-tailed test. From Table K, The Wilcoxon Signed-Rank Test, the critical value for α = 0.05 and n = 9 is 6. Hence, the critical value for is 6. The sum of the signed ranks is obtained below: Before After Difference ( D ) Absolute value ( | D | ) Rank Signed rank 413 433 –20 20 5 –5 701 712 –11 11 2 –2 397 406 –9 9 1 –1 602 650 –48 48 8 –8 405 450 –45 45 7 –7 512 550 –38 38 6 –6 450 450 0 0 – – 487 500 –13 13

Connect hosted by ALEKS Access Card 52-Week for Elementary Statistics: A Step by Step Approach

10th Edition

ISBN: 9781260041798

Author: Allan G. Bluman

Publisher: McGraw-Hill Education

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Chapter 13, Problem 24CQ

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To test: The claim that there is difference in the motors’ performance.

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Chapter 13 Solutions

Connect hosted by ALEKS Access Card 52-Week for Elementary Statistics: A Step by Step Approach

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To test: The claim that there is difference in the motors’ performance.

Solution Summary: The author explains that there is no difference in the motors' performance. The alternative hypothesis is denoted as the two-tailed test.

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To test: The claim that there is difference in the motors’ performance.

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Chapter 13 Solutions