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 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. Ho:HS9 HaiH > 9 Ho: H = 9 HoiH #9 Ho: H < 9 Hoi H2 9 H:H < 9 O Ho: H > 9 (b) Assume 95 companies were included in the sample. What is the test statistic? (Round your answer to three decimal places.)

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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.
Ho: Hs 9
H2: µ > 9
Ho:H = 9
Ha: u + 9
Ha: H 2 9
6 > rl :0H
Ha: µ < 9
Ho:H> 9
H: µ s 9
(b) Assume 95 companies were included in the sample.
What is the test statistic? (Round your answer to three decimal places.)
What is the p-value for your hypothesis test? (Round your answer to four decimal places.)
p-value
( c ) At α =
0.01, what is your conclusion?
Do not reject Ho. We cannot conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is valid.
Reject Ho. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid.
Reject Ho. We cannot conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is valid.
Do not reject Ho. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid.
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. Ho: Hs 9 H2: µ > 9 Ho:H = 9 Ha: u + 9 Ha: H 2 9 6 > rl :0H Ha: µ < 9 Ho:H> 9 H: µ s 9 (b) Assume 95 companies were included in the sample. What is the test statistic? (Round your answer to three decimal places.) What is the p-value for your hypothesis test? (Round your answer to four decimal places.) p-value ( c ) At α = 0.01, what is your conclusion? Do not reject Ho. We cannot conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is valid. Reject Ho. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid. Reject Ho. We cannot conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is valid. Do not reject Ho. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid.
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