The distribution of Student's t has ________.
A)a mean of zero and a standard deviation of one
B)a mean of one and a standard deviation of one
C)a mean of zero and a standard deviation that depends on the sample size
D)a mean that depends on the sample size and a standard deviation of one

Question

Quizplus · Accepted Answer

The distribution of Student's t has a mean of zero and a standard deviation that depends on the sample size, specifically the degrees of freedom (n-1). This is because the t-distribution is used for calculating confidence intervals and hypothesis tests for small sample sizes when the population standard deviation is unknown. The sample size affects the degree of uncertainty, thus varying the standard deviation of the t-distribution.

The Distribution of Student's T Has ________