(b) assume 90 companies were included in the sample. what is the test statistic? (round your answer to three decimal places.)

A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years.

a) The hypotheses that can be used to challenge the validity of the claim made by the shareholders’ group.

H₀ : u ≤ 9

Hₐ : u > 9

So,the correct option isoption (A).

b) T- statistic value is -2.571 for a sample of 90 companies.

c) The critical value for t i.e P-value is 0.0059

d) P-value < α = 0.01, implies reject the null hypothesis. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is notvalid. So, the correct option is option(D).

We have given that,

x-bar= 7.27 , σ = 6.38, n = 90

a) Test that the mean tenure for a chief executiveofficer (CEO) was atleast nine years .

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 yearsfor 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. multiple choice:

i)H0: μ ≤ 9

Ha: μ > 9

ii)H0: μ ≥ 9

Ha: μ < 9

iii) H0: μ > 9

Ha: μ ≤ 9

iv)H0: μ < 9

Ha: μ ≥ 9

v) H0: μ = 9

Ha: μ ≠ 9

(b)Assume 90 companies were included in the sample. What is the test statistic? (Round your answer to three decimal places.)

c)What is the p-value for your hypothesis test? (Round your answer to four decimal places.)

p-value =

(d) At = 0.01,what is your conclusion? MULTIPLE CHOICE:

Do not reject H0. 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 H0. 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.

shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years.hypothesesthat can be used to challenge the validity of the claim made by the shareholders’ group.option(A).) T- statisticvalue is -2.571 for a sample of 90 companies.critical valuefor t i.e P-value is 0.0059claimof the shareholders group isnotvalid. So, the correct option isoption(D).chief executiveofficer(CEO) was atleast nine years .Nullandalternativehypothesis istest statistic:Significance level, = 0.01Decision: Reject the null hypothesis H₀no evidenceto support the claim.Null Hypothesis, refer:CompleteQuestion: