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 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) To the left of-1.761 or to the right of 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-test is appropriate. For a two-tailed test at the 0.10 significance level with 14 degrees of freedom (n-1), the critical t-value is approximately ±1.761.

A Random Sample of Size 15 Is Selected from a Normal