Explanation Given info: Claim: μ d ≤ 0 The level of significance, α = 0.10 Sample statistics: d ¯ = 10.3 , s d = 18.19 and n = 33 Calculation: State the null and alternative hypotheses: Null hypothesis: H 0 : μ d ≤ 0 (Claim) Alternative hypothesis: H 1 : μ d > 0 Critical values: Degrees of freedom: n − 1 = 33 − 1 = 32 Software Procedure: Step-by-step procedure to obtain the critical value using the MINITAB software: Choose Graph > Probability Distribution Plot choose View Probability > OK. From Distribution , choose ‘ t ’ distribution. In Degrees of freedom , enter 32 . Click the Shaded Area tab. Choose Probability value and Right Tail for the region of the curve to shade. Enter the Probability value as 0.10 . Click OK . Output using the MINITAB software is given below: From the output, the critical value is +1.309. Test statistic value: Software Procedure: Step-by-step procedure to obtain the test value using the MINITAB software: Choose Stat > Basic Statistics > 1-Sample t

7th Edition

ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 8, Problem 8.3.21RE

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To test: The claim that μd≤0 .

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To test: The claim that μ d ≤ 0 .

Solution Summary: The author states that there is enough evidence to reject the claim that mu _dle 0.

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