You are conducting a study to see if students do better when they study all at o

Question

You are conducting a study to see if students do better when they study all at once or in intervals. One group of 12 participants took a test after studying for one hour continuously. The other group of 12 participants took a test after studying for three twenty minute sessions. The first group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100. What is the calculated t value? Are the mean test scores of these two groups significantly different at the .05 level? What would the t value be if there were only 6 participants in each group? Would the scores be significant at the .05 level?

Explanation / Answer

Let us do hypothesis as

H0: Mean I = Mean II

Ha: Mean I < Mean II

Left tailed test

As p >0.05 there is no difference between two groups

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b) if n = 6 instead of 12, std error of difference will vary as

std error for diff = 63.770

df = 10

Mean diff = -11

t = 0.1725

p = .432311.

Scores would not be significant even for 6 participants.

Group I Group II n 12 12 Mean 75 86 Variance 120 100 SEM 34.64 28.87 Mean diff -11 df 22 std error diff 45.09 t 0.2439 p 0.4048

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