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. O Ho: H < 9 H: u2 9 O Ho: H = 9 Hai H = 9 O Ho: H29 O Ho: H > 9 O Ho: Hs 9 H:µ > 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 a = 0.01, what is your conclusion? O 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. O 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. O 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. O 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
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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.
O Ho: H < 9
O Ho: H = 9
O Ho: H29
Ha: u < 9
Ho: H > 9
O Ho: Hs 9
Hai µ > 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 a = 0.01, what is your conclusion?
O 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.
O 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.
O 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.
O 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:You may need to use the appropriate technology to answer this question. 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. O Ho: H < 9 O Ho: H = 9 O Ho: H29 Ha: u < 9 Ho: H > 9 O Ho: Hs 9 Hai µ > 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 a = 0.01, what is your conclusion? O 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. O 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. O 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. O 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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