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A researcher conducts an ANOVA of age first child was born for different groups of happiness (not too happy, pretty happy, very happy) and finds

A researcher conducts an ANOVA of age first child was born for different groups of happiness (not too happy, pretty happy, very happy) and finds that F = 4.58. The group means were: not too happy = 23.25, pretty happy = 24.38, and very happy = 24.60.

Suppose that the means were: not too happy = 24.20, pretty happy = 24.38, and very happy = 24.60. Assuming the standard deviations stay the same, how would you expect the F-statistic would be different?

Would it be:

  • larger
  • smaller
  • or same

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