Which of the following distributions would be best to use for hypothesis testing on a data set with 20 observations?

The correct answer is D. Student's t-. With only 20 observations and an unknown population variance, the t-distribution (with 𝑛 - 1 degrees of freedom) properly accounts for the extra uncertainty in the standard error when performing hypothesis tests.

Mathematics and Statistics

Question

Options

APower law
BNormal
CUniform
DStudent's t-

How the community answered

(40 responses)

A
3% (1)
B
8% (3)
C
3% (1)
D
88% (35)

Explanation

With only 20 observations and an unknown population variance, the t-distribution (with 𝑛 - 1 degrees of freedom) properly accounts for the extra uncertainty in the standard error when performing hypothesis tests.

Topics

#Student's t-distribution#hypothesis testing#small samples#statistical inference

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