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Blood Pressures: Null and Alternate Hypothesis and Type I Errors

A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the mean systolic blood pressure, μ, of CEOs of major corporations is less than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 18 mm Hg.

Based on this information, answer the questions below:
What are the null hypothesis (Ho) and the alternative hypothesis (H1) that should be used for the test?
Ho: μ is?
H1: μ is?

In the context of this test, what is a Type I error?
Suppose that the researcher decides not to reject the null hypothesis? What sort of error might he be making?

Solution Preview

The null and alternative hypotheses:

Null: The mean systolic blood pressure is equal to 136.
Alternative: The mean systolic blood pressure ...

Solution Summary

This response determines the null hypothesis and the alternative hypothesis for a research project calculating the blood pressures of CEOs. Type I Errors are also explained.

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