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(a) n = 10, t = 1.55, a = 0.05 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (b) (c) Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. n = 10, t = -1.55, a = 0.05 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. n = 28, t= -2.57, a = 0.01 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.

(a) n = 10, t = 1.55, a = 0.05 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (b) (c) Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. n = 10, t = -1.55, a = 0.05 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. n = 28, t= -2.57, a = 0.01 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? USE SALT (a) n = 10, t = 1.55, α = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (b) n = 10, t = -1.55, α = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (c) n = 28, t= -2.57, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (d) n = 28, t = -3.97, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? USE SALT (a) n = 10, t = 1.55, α = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (b) n = 10, t = -1.55, α = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (c) n = 28, t= -2.57, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (d) n = 28, t = -3.97, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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