A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume that a two-tailed test at the 0.10 significance level is to be used. For what value of t will the null hypothesis not be rejected?
A) To the left of -1.282 or to the right of 1.282
B) To the left of -1.345 or to the right of 1.345
C) Between -1.761 and 1.761
D) To the left of -1.645 or to the right of 1.645

Question

Quizplus · Accepted Answer

Since the population standard deviation is unknown and the sample size is small (n=15), a t-distribution is used. For a two-tailed test with 14 degrees of freedom (n-1) at the 0.10 significance level, the critical t-values are approximately -1.761 and 1.761.

A Random Sample of Size 15 Is Selected from a Normal