Marc Wants to Know If the Mean Age of the Prison

question 33

Multiple Choice

Marc wants to know if the mean age of the prison population in his city is less than 26 years.He obtains a random sample of 25 prisoners,and finds a mean age of 24.4 years and a standard deviation of 9.2 years.At a significance level of 0.05,what is his conclusion?

• A)Fail to reject the null hypothesis of μ = 26 with a P-value of 0.8034.There is not sufficient evidence that the mean age is less than 26 years.
• B)Reject the null hypothesis of μ = 26 with a P-value of 0.018.There is sufficient evidence that the mean age is less than 26 years.
• C)Fail to reject the null hypothesis of μ = 26 with a P-value of 0.1966.There is not sufficient evidence that the mean age is less than 26 years.
• D)Reject the null hypothesis of μ = 26 with a P-value of 0.0425.The evidence suggests that the mean age is less than 26 years.
• E)There is not enough information to perform the test.

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