For each of the following samples that were given an experimental​ treatment, test whether the samples represent populations that are different from the general​ population: (a) a sample of11 with a mean of 50​,(b) a sample of 1 with a mean of 55. The general population of individuals has a mean of 44​, a standard deviation of 8​, and follows a normal curve. For each​ sample, carry out a Z test using the five steps of hypothesis testing with a​ two-tailed test at the 0.05 significance​ level, and make a drawing of the distributions involved.​ (c) Figure the​ 95% confidence interval for parts​ (a) and​ (b).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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For each of the following samples that were given an experimental​ treatment, test whether the samples represent populations that are different from the general​ population: (a) a sample of11 with a mean of 50​,(b) a sample of 1 with a mean of 55. The general population of individuals has a mean of 44​, a standard deviation of 8​, and follows a normal curve. For each​ sample, carry out a Z test using the five steps of hypothesis testing with a​ two-tailed test at the 0.05 significance​ level, and make a drawing of the distributions involved.​ (c) Figure the​ 95% confidence interval for parts​ (a) and​ (b).

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