Question: Consider the following set of samples obtained from two normally distributed populations whose variances are equal: a. Suppose that the samples were independent. Perform a

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

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.

Sample: 2 12 7.4 8.7 8.5 13.5 4.5 11.9 Sample 2: .7 9.5 15.6 16.5 13 17.6 17.0 8.5

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a H 0 1 2 0 H A 1 2 0 s 1 289 s 2 362 329 235 Because t 235 21448 the null hypothesis is rejected b ... View full answer

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