Question 446385: A researcher knows that the population mean among college students taking the Social Conformity Test is a "neutral" 100. (scores higher than 100 are assumed to represent more conformity than average, and those lower than 100 indicate less conformity). A random sample of 30 students was selected, and the following values were recorded:
sample mean = 103
sample standard deviation= 10.83
Is this sample significantly different than the population?
State the null and alternative hypotheses.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A researcher knows that the population mean among college students taking the Social Conformity Test is a "neutral" 100. (scores higher than 100 are assumed to represent more conformity than average, and those lower than 100 indicate less conformity).
A random sample of 30 students was selected, and the following values were recorded:
sample mean = 103
sample standard deviation= 10.83
Is this sample significantly different than the population?
State the null and alternative hypotheses.
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Ho: u = 100
Ha: u is not equal to 100 (the sample is significantly different)
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t(103) = (103-100)/[10.83/sqrt(30)] = 1.5172..
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p-value = 2P(t>1.5172 when df = 29) == 2*0.07 = 14%
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Since the p-value is greater than 5%, fail to reject
Ho at the 5% level of significance.
The sample is not significantly different than the population.
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Cheers,
Stan H.
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