Consider the following set of samples obtained from two normally distributed populations whose variances are equal: Sample

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Consider the following set of samples obtained from two normally distributed populations whose variances are equal:

Sample 1: 11.2 11.2 7.4 8.7 8.5 13.5 4.5 11.9 Sample 2: 11.7 9.5 15.6 16.5 11.3 17.6 17.0 8.5

a. Suppose that the samples were independent.
Perform a test of hypothesis to determine if there is a difference in the two population means. Use a significance level of 0.05.

b. Now suppose that the samples were paired samples.
Perform a test of hypothesis to determine if there is a difference in the two population means.

c. How do you account for the difference in the outcomes of part a and part b? Support your assertions with a statistical rationale.

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Business Statistics A Decision Making Approach

ISBN: 9780136121015

8th Edition

Authors: David F. Groebner, Patrick W. Shannon, Phillip C. Fry, Kent D. Smith

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