Question

# Describe with details Testing hypotheses about a population mean µ when a large (? > 30)...

Describe with details

Testing hypotheses about a population mean µ when a large (? > 30) random sample is available.

Problem I: The state department of education in a particular state claims that the mean height of a first grader is 42 inches. A researcher in a particular region of the state believes the mean height of first grade students in this region exceeds 42 inches. The researcher will examine height data for 73 first graders in the region and can tolerate the size of the Type I error being α = 0.05. A. Do this steps written description for this hypothesis test. The test to use here is a 1-sample z-test with 72 degrees of freedom.

1. A description the null and alternative hypotheses in terms of the problem.

2. A statement of the null and alternative hypotheses in standard symbols.

3. The significance level (size of the Type I error), α, that will be tolerated.

4. The name of the statistical test to be used and the assumptions required in order for the test to be valid.

5. A clear description of exactly what the decision rule is; i.e. under what circumstances is the null hypothesis rejected.

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