Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.
-Claim: $\mu = 119$. Sample data: $n = 15 , \bar { x } = 103 , s = 15.2$. The sample data appear to come from a normally distributed population with unknown $\mu$ and $\sigma$.
A) Neither
B) Normal
C) Student $\mathrm { t }$

Question

Quizplus · Accepted Answer

The distribution is a Student t distribution because the sample size is small (n < 30) and the population standard deviation ($\sigma$) is unknown, but the population is assumed to be normally distributed.

Determine Whether the Hypothesis Test Involves a Sampling Distribution of Means