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These two charts contain information related to the size of the numerator and the size of...

These two charts contain information related to the size of the numerator and the size of the denominator in the formula for the statistical test that compares the means of the two groups in each experiment. Compare the information in the chart for Experiment 1 and Experiment 2. How do the similarities and differences between them explain why the results in Experiment 1 differ from the results in Experiment 2?

Experiment 1

Group

M

Difference Between

the Means

Standard Deviation

p

Limited

81.50

42.50

10.82

0.001

Unlimited

39.00

17.72

Experiment 2

Group

M

Difference Between

the Means

Standard Deviation

p

Limited

169.67

42.50

95.43

0.468

Unlimited

127.17

99.65
math   Statistics-And-Probability   
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Answer #1

The mean and standard deviation of Experiment 2 is greater than Experiment 1 although their difference is the same. This variation caused the p-value to be greater for Experiment 2.

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