A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He has good reason to believe that the mean systolic blood pressure, u, of CEOS of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated journal article.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 120 mm Hg and the standard deviation of the sample to be 15 mm Hg.

MATLAB: An Introduction with Applications
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A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated journal article.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 120 mm Hg, and the standard deviation of the sample to be 15 mm Hg.

Based on this information, complete the parts below.

(a) What are the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that should be used for the test?

   \[ H_0: \] [Choose one]  
   \[ H_1: \] [Choose one]

(b) Suppose that the researcher decides to reject the null hypothesis. What sort of error might he be making?

   [Choose one]

(c) Suppose the true mean systolic blood pressure of CEOs of major corporations is 130 mm Hg. Fill in the blanks to describe a Type I error.

   A Type I error would be [Choose one] the hypothesis that \( \mu \) is [Choose one] [Choose one] when, in fact, \( \mu \) is [Choose one].  

On the right, there are options for selecting hypotheses and errors. These appear as checkboxes arranged under symbols and text inputs for various statistical choices related to the mean, comparison operators, and errors.
Transcribed Image Text:A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated journal article.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 120 mm Hg, and the standard deviation of the sample to be 15 mm Hg. Based on this information, complete the parts below. (a) What are the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that should be used for the test? \[ H_0: \] [Choose one] \[ H_1: \] [Choose one] (b) Suppose that the researcher decides to reject the null hypothesis. What sort of error might he be making? [Choose one] (c) Suppose the true mean systolic blood pressure of CEOs of major corporations is 130 mm Hg. Fill in the blanks to describe a Type I error. A Type I error would be [Choose one] the hypothesis that \( \mu \) is [Choose one] [Choose one] when, in fact, \( \mu \) is [Choose one]. On the right, there are options for selecting hypotheses and errors. These appear as checkboxes arranged under symbols and text inputs for various statistical choices related to the mean, comparison operators, and errors.
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