Question 1033402: Two groups of students were given tests in Physics. Group A with 17 stubents yielded a mean score of 48 with a std dev of 6.4. Group B with 10 students yielded a mean score of 52 and with a std dev of 7.8. At 10% significance level, did the two groups performed at par with each other?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two groups of students were given tests in Physics. Group A with 17 stubents yielded a mean score of 48 with a std dev of 6.4. Group B with 10 students yielded a mean score of 52 and with a std dev of 7.8. At 10% significance level, did the two groups performed at par with each other?
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Ho: u1 - u2 = 0
Ha: u1 - u2 # 0
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Sample difference:: 52-48 = 4
std dev of the difference of means:: sqrt[(52^2/17)+(48^2/10)] = 19.73
t(52-48) = [4-0]/19.73 = 0.2027
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P-value = 2*P(t > 0.2027 when df = 17+10-2 = 25) = 2*tcdf(0.2027,100,25) = 0.8410
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Since the p-value is greater than 0.05, fail to reject Ho.
The test results support the claim that the two groups performed at
par with each other.
Cheers,
Stan H.
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