Samples were drawn from three populations. The sample sizes were n1 = 8, n2 = 6, n3

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Samples were drawn from three populations. The sample sizes were n1 = 8, n2 = 6, n3 = 9.

The sample means were ̄x1 = 1.04,

̄x2 = 1.25, ̄x3 = 1.87. The sample standard deviations were s1 = 0.25, s2 = 0.43, s3 = 0.34. The grand mean was x̄̄ = 1.42.

a. Compute the sums of squares SSTr and SSE.

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

c. Compute the mean squares MSTr and MSE.

d. Compute the value of the test statistic F.

e. Can you conclude that two or more of the population means are different? Use the α = 0.01 level of significance.

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Elementary Statistics

ISBN: 9781259969454

3rd Edition

Authors: William Navidi, Barry Monk

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