SOLUTION: The ages of actresses when they won an acting award is summarized by the statistics n = 75​ x = 35.7 ans s = 11.4 Use a 0.01 significance level to test the claim that the me

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Question 1081149: The ages of actresses when they won an acting award is summarized by the statistics n = 75​ x = 35.7 ans s = 11.4 Use a 0.01 significance level to test the claim that the mean age of actresses when they win an acting award is 33.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: mu=33
Ha: mu NE 33
alpha 0.01
test statistic is a t (df=74, 0.995)= (xbar-mu)/s/sqrt (n)
critical value is |t|> 2.64
t=2.7/11.4/sqrt(75)=2.7*sqrt (75)/11.4=2.05
p=0.044
Fail to reject Ho, at the 1% level, there is no significant evidence to support the claim that the mean age is not 33.