For each of the following samples that were given an experimental treatment, tes

Question

For each of the following samples that were given an experimental treatment, test whether these samples represent populations that are different from the general population: (a) a sample of 10 with a mean of 4, (b) a sample of 1 with a mean of 48. The general population of individuals has a mean of 40, a standard deviation of 5, and follows a normal curve. For each sample, carry out a Z test using the five steps hypothesis testing with a two-tailed test at the .05 significance level, and make a drawing of the distributions involved.

Explanation / Answer

Given X~Normal(=40, s=6)

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(a) a sample of 10 with a mean of 44

Z=(xbar-)/(s/n)

=(44-40)/(6/sqrt(10))

= 2.108

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(b) a sample of 1 with a mean of 48.

Z=(48-40)/(6)

=1.33

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