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The following data summarize the results from an independent-measures study comparing three treatment conditions. I II III n = 6 n = 6 n =

The following data summarize the results from an independent-measures study comparing three treatment conditions.

I II III
n = 6 n = 6 n = 6 N = 18
M = 1 M = 2 M = 6 G = 54
SS = 60 SS = 65 SS = 40 X = 411

Calculate the sample variance for each of the three samples.

I II III
s = s = s =

Use an ANOVA with = .05 to determine whether there are any significant differences among the three treatment means.

Source SS df MS F Fcriticalcritical
Between treatments
Within treatments
Total

F Distribution

Numerator Degrees of Freedom = 6

Denominator Degrees of Freedom = 16

0.01.02.03.04.05.06.07.08.09.010.011.012.0F

Conclusion:

Reject the null hypothesis; there are significant differences among the three treatments.

Fail to reject the null hypothesis; there are no significant differences among the three treatments.

Reject the null hypothesis; there are no significant differences among the three treatments.

Fail to reject the null hypothesis; there are significant differences among the three treatments.

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