Question

Assume that a simple random sample has been selected and test the given claim. Use the​ P-value method for testing hypotheses. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

The ages of actresses when they won an acting award is summarized by the statistics n= 85​, x= 35.7 ​years, and s= 11.3 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win an acting award is 32 years.

Answer 1

(A) claim is that the mean age of actresses when they win an acting award is 32 years.

(B) test statistic calculation

(C) p-value = T.DIST.2T(test statistic,n-1)

where test statistic = 30019 and n = 85

p-value = T.DIST.2T(3.019,85-1) = 0.0034

(D) we can see that p-value(0.0034) < significance level 0.01, rejecting the null hypothesis

Conclusion:_ there is insufficient evidence to support the claim that the mean age of actresses when they win an acting award is 32 years.