Question 557628: An independent measures research study was used to compare two treatment conditions with n = 12 participants in each treatment. The first treatment had a mean of M =55 with a variance of s2 = 8, and the second treatment had M= 52 and s2 =4. Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05. ( Note: Because the two samples are the same size,the pooled variance is simply thew average of the two sample variance.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An independent measures research study was used to compare two treatment conditions with n = 12 participants in each treatment.
The first treatment had a mean of M =55 with a variance of s2 = 8, and the
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second treatment had M= 52 and s2 =4.
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Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05.
Note: Because the two samples are the same size,the pooled variance is simply thew average of the two sample variance.)
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Ho: u1-u2 = 0
Ha: u1-u2 # 0
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I ran a 2-sample Ttest and got the following results:
test statistic: t = 3
p-value: 0.0071
df: 19.8
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Since the p-value is less than 5%, reject Ho.
There is a significant difference between the 2 treatments.
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Cheers,
Stan H.
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