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its claimed that the mean tenure for the chief of police was at least 9 years....

its claimed that the mean tenure for the chief of police was at least 9 years. A survey of metropolitan police departments found a sample tenure of years for the chief of police position with a ?=7.27standard deviation of s=6.38 years.

a.What are the null and alternative hypotheses that are needed to challenge the validity of the claim?

b.If 85 companies were included in the sample what is the p-value for the hypothesis test?

c.At the level =0.01, what is your conclusion?

math   Statistics-And-Probability   
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Answer #1

a)
Hypothesis:
H0 : mu = 9
Ha : mu < 9

b)
Test statistics:

z = (x-mean)/(s/sqrt(n))
= ( 7.27 -9)/(6.38/sqrt(85))
= -2.50

P value = 0.0062

c)
we reject the null hypothesis

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