# T-Statistic - Several factors influence the value obtained for a t-statistic

Several factors influence the value obtained for a t-statistic. Some factors affect the numerator of the t statistic and others influence the size of the estimated standard error in the denominators. For each one 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 (Father from zero) or decrease the value of t (Closer to zero). In each case, assume that all other factors remain 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.

https://brainmass.com/statistics/dispersion-and-spread-of-data/factors-influence-value-obtained-t-statistic-192819

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(a) Increasing the variability means increasing the standard deviation of the ...

#### Solution Summary

This solution explains how to determine whether the factor influences the numerator or denominator of the t statistic and whether the effect would be to increase the value of t (Father from zero) or decrease the value of t (Closer to zero).