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blood pressure, u, of CEOS of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated journal article.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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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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blood pressure, u, of CEOS of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated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.
Based on this information, complete the parts below.
(a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test?
H :0
O<O
OSO
H :0
O20
O=0
(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.
v the hypothesis that u is (Choose one)
(Choose one)
A Type I error would be (Choose one)
when, in fact, µ is (Choose one)
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blood pressure, u, of CEOS of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated journal article.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. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H :0 O<O OSO H :0 O20 O=0 (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. v the hypothesis that u is (Choose one) (Choose one) A Type I error would be (Choose one) when, in fact, µ is (Choose one)
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