8. 2 points submissions used In an expenment to compare the tensile strengths of

Question

8. 2 points submissions used In an expenment to compare the tensile strengths of 1 6 d erent types o copper re 5 samples of each type were used The between-samples and within-samples es mates of 2 were computed as MSTr 2632.3 and MSE 1120.2 respectively. othe Fdistribution with 1-1 andI-1) degrees of freedom what value of F must our test statistic be larger than in order to reject the nul. This value represents what is called the rejection region (a)If = 0.05 then rejection region a as versus Hal at least two 's are necual. Use a s gnificance leve 0 5 Round your answers to two deomal places. Calculate the test stat st c F to test Ho: u; test statistic f a: , State the conclusion in the problem contest o Fal to reject H. The data indicates there is not a dfference in the mean tensile strengths. Reject Ho. The data indicates there is not a difference in the mean tensile strengths O Reject H. The data indicates a difference in the mean tensile strengths. Fail to rejec Ho. The data indicates a diffierence in the mean tenaile strengths. (b) What can be said about the P-value for the test? o P-value 0.100 0.050

Explanation / Answer

a) for (I-1=5) and (IJ-I=24) degree of freedom and 0.05 level

rejection region =2.621

test statistic =MSTr/MSE =2.35

fail to reject ; data indicate thre is not a differnence

b) 0.05 <p value <0.10

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