22. A researcher investigated the effect of volume of background noise on partic

Question

22. A researcher investigated the effect of volume of background noise on participants’ accuracy rates while performing a difficult task. He tested three groups of randomly selected students and obtained the following means and sums of squares:

Low Volume             Moderate Volume     High Volume

X         61.5          65.5                           48.25

n            4               5                                 7

Source            Sum of Squares         df        Mean Square     F

Between groups         652.16        _____            _____         _____

Within groups            612.75       _____              _____

Total                           1264.92      _____

(a) Complete the ANOVA. (b) At 5 =.05, what is Fcrit? (c) Report the statistical

results in the proper format. (d) Perform the appropriate post hoc tests. (e) What

do you conclude about this study? (f) Compute the effect size and interpret it.

Low Volume             Moderate Volume     High Volume

X         61.5          65.5                           48.25

n            4               5                                 7

Source            Sum of Squares         df        Mean Square     F

Between groups         652.16        _____            _____         _____

Within groups            612.75       _____              _____

Total                           1264.92      _____

Explanation / Answer

a. df(Between groups)=3-1=2, df(within groups)=4-3=1 df(total)=3 MS(between)=652.16/(3-1)=326.08, MS(within)=612.75/(4-3)=612.75.

b. F=MSB/MSE=326.08/612.75=0.53

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