A certain experiment consisted of I = 5 treatments, with sample sizes n1 = n2 = n3

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A certain experiment consisted of I = 5 treatments, with sample sizes n1 = n2 = n3 = n4 = n5 = 4.

The sums of squares were SSTr = 43.7 and SSE = 79.8.

a. How many degrees of freedom are there for SSTr?

b. How many degrees of freedom are there for SSE?

c. Find the treatment mean square MSTr.

d. Find the error mean square MSE.

e. Find the value of the test statistic for testing the hypothesis H0 : μ1 = μ2 = μ3 = μ4 = μ5.

f. Find the level α = 0.05 critical value.

g. State your conclusion regarding H0. Use the α = 0.05 level of significance.

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Elementary Statistics

ISBN: 9781259969454

3rd Edition

Authors: William Navidi, Barry Monk

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