With alpha = .05 and df = 8, the critical values for a two-tailed t test are t = +-2.306. Assuming all other factors are held constant, if the df valu

jernplate8

jernplate8

Answered question

2021-01-06

With α=.05 and df = 8, the critical values for a two-tailed t test are t=±2.306. Assuming all other factors are held constant, if the df value were increased to df = 20, what would happen to the critical values for t?
a. They would increase (move farther from zero).
b. They would decrease (move closer to zero).
c. They would stay the same.
d. Not enough information to answer

Answer & Explanation

cyhuddwyr9

cyhuddwyr9

Skilled2021-01-07Added 90 answers

Step 1

The normal distribution curve and the t distribution's density curve both have a similar shape. Compared to normal distributions, the t distributions have more observations towards the tails and fewer in the center. The t-distribution approaches the typical normal distribution as the degree of freedom rises. The mean of the common normal distribution is 0. The critical values for t would therefore fall and move closer to the mean, or close to zero, if all the other parameters were maintained constant and the df value was increased to 20.
Correct response for step 2: b. They would drop (move closer to zero).

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