Question

In general, if the standard deviation of the difference scores increases, then what will happen to...

In general, if the standard deviation of the difference scores increases, then what will happen to the value of the calculated t statistic?

a. it will get larger

b. It may increase or may decrease. There is no consistent relationship between SD and the size of the t statistic.

c. It will stay the same; the t statistic is not affected by the SD of the difference scores.

d. it will get smaller

Math   Statistics-And-Probability   
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Answer #1

In general, if the standard deviation of the difference scores increases, then what will happen to the value of the calculated t statistic?

The correct answer is

d. it will get smaller

Becouse in each t test statistic the standard deviation is comes to denominator

and standard deviation has no negative value so the standard deviation is increases the t statistic will be decreases it means it will get smaller value

standard deviation and the calculated t statistic are negatively correlated if one of them will be increases the other one will be decreases

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