A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x 7.27 years for CEOs with a standard deviation of s■6.38 years. (a) Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group. H₂ = 9 Ha μ < 9 Ho: μ ≤ 9 Ha μ > 9 Ho: <9 H≥9 Ho: >9 H: ≤9 (b) Assume 95 companies were included in the sample. What is the test statistic? (Round your answer to three decimal places.) -2.643 What is the p-value for your hypothesis test? (Round your answer to four decimal places.) p-value = 0.0096

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years. A survey of
companies reported in The Wall Street Journal found a sample mean tenure of x 7.27 years for CEOs with a standard deviation of s■6.38 years.
(a) Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group.
H₂ = 9
Ha
μ < 9
Ho: μ ≤ 9
Ha μ > 9
Ho: <9
H≥9
Ho: >9
H: ≤9
(b) Assume 95 companies were included in the sample.
What is the test statistic? (Round your answer to three decimal places.)
-2.643
What is the p-value for your hypothesis test? (Round your answer to four decimal places.)
p-value = 0.0096
Transcribed Image Text:A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x 7.27 years for CEOs with a standard deviation of s■6.38 years. (a) Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group. H₂ = 9 Ha μ < 9 Ho: μ ≤ 9 Ha μ > 9 Ho: <9 H≥9 Ho: >9 H: ≤9 (b) Assume 95 companies were included in the sample. What is the test statistic? (Round your answer to three decimal places.) -2.643 What is the p-value for your hypothesis test? (Round your answer to four decimal places.) p-value = 0.0096
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