Explanation Given info: Claim: μ d ≥ 0 The level of significance, α = 0.01 Sample statistics: d ¯ = − 2.3 , s d = 1.2 and n = 15 Calculation: State the null and alternative hypotheses: Null hypothesis: H 0 : μ d ≥ 0 Alternative hypothesis: H 1 : μ d < 0 (Claim) Critical values: Degrees of freedom: n − 1 = 15 − 1 = 14 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 14 . Click the Shaded Area tab. Choose Probability value and Left Tail for the region of the curve to shade. Enter the Probability value as 0.01 . Click OK . Output using the MINITAB software is given below: From the output, the critical value is –2.624

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ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 8.3, Problem 7E

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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 concludes that there is enough evidence to reject the claim that mu_dge 0.

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