Question 281627: several factors influence the value obtained for a t statistic. Some factors affact the numerator of the t statistic and others influence the size of the estimated standard error in the denominator. For each of the following, indicate whether the factor influences the numerator or denominator of the t statistic and determine whether the effect would be to increase the value of t (farther from zero) or decrease the value of t ( closer to zero ). In each case, assume that all other factors remaine constant .
a - Increase the variability of the scores.
b - Increase the number of scores in the sample.
c - Increase the difference between the sample mean and the population mean.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! several factors influence the value obtained for a t statistic. Some factors affact the numerator of the t statistic and others influence the size of the estimated standard error in the denominator. For each of the following, indicate whether the factor influences the numerator or denominator of the t statistic and determine whether the effect would be to increase the value of t (farther from zero) or decrease the value of t ( closer to zero ). In each case, assume that all other factors remaine constant .
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General Form:
t(x) = (x-u)/[s/sqrt(n)]
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a - Increase the variability of the scores. As s increases, t decreases.
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b - Increase the number of scores in the sample. As n increases, t increases.
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c - Increase the difference between the sample mean and the population mean.
As the difference increases t increases.
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Cheers,
Stan H.
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