Find upper and lower bounds of the the P -value for the F -statistic computed in

Question

Find upper and lower bounds of the the P-value for the F-statistic computed in part (a)

An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch times 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. Is there any difference in compressive strength due to the rodding level?. Use a=0.05. (Express the result to 3 significant digits.) Calculate f_0 Does rodding level affect compressive strength? Find upper and lower bounds of the the P-value for the F-statistic computed in part (a) (Use the Table VI in the Appendix of the textbook).

Explanation / Answer

sol)

H0: There is no difference between means of 4 groups

H1: There is a difference between means of 4 groups

alpha:5%

Test statistic:

From Excel

F=1.87

Conclusion:

P value=0.213 >0.05 we acept the null hypothesis. Hence there is no evidence that to reject the null hypothesis.

Hence all means are equal

b) p value=0.213

0.1<P<0.25

Anova: Single Factor SUMMARY Groups Count Sum Average Variance 10 3 4500 1500 2700 15 3 4760 1586.667 6033.333 20 3 4820 1606.667 11633.33 25 3 4500 1500 100 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 28633.33 3 9544.444 1.865364 0.213781 4.066181 Within Groups 40933.33 8 5116.667 Total 69566.67 11

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