In: Statistics and Probability
Regarding the T distribution
a. its precise shape is determined by whether its a repeated measures t test or an independent samples T test
b. none of the answers are correct.
c. the shape is fixed, it does not change at all.
d. As sample size gets larger, the critical value of T gets smaller.
The answer is :
d. As sample size gets larger, the critical value of T gets smaller
If you see the following critical value of student's t distribution, you will note that as the sample size increases (sample size=degree of freedom+1), the critical value of T distribution gets smaller.
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