Probability and Statistics for Engineering and the Sciences
Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 15, Problem 34SE

a.

To determine

Find the smallest α for which the null hypothesis is rejected.

b.

To determine

Find the confidence level and the confidence interval.

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We have created a 95% confidence interval for μ with the result (148, 196). What conclusion will we make if we test H0: μ = 190 vs. Ha:μ ≠ 190 at α = 5%? A. Reject the alternative hypothesis B. Reject the null hypothesis C.  Fail to reject the null hypothesis D.  Type I error
A 95% confidence interval for u was given as -5.65 < u < 2.61. What would a test for Ho : µ = 0 vs H1 : µ # 0 conclude? A. reject the null hypothesis at a = 0.05 and all smaller a B. fail to reject the null hypothesis at a = = 0.05 and all smaller a C. reject the null hypothesis at a = 0.05 and all larger a D. fail to reject the null hypothesis at a = - 0.05 and all larger
Find the 95% confidence interval for μ given that n = 16, X̄ = 28 and σ = 6.

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Probability and Statistics for Engineering and the Sciences

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