Do one of the following, as appropriate: (a) Find the critical value$ z_{?/2}$, (b) find the critical value $ t_{?/2}$, (c) state that neither the normal nor the t distribution applies
-$90 \% ; \mathrm { n } = 10 ; \sigma$ is unknown; population appears to be normally distributed.
A) $t _ { \alpha / 2 } = 1.812$
B) $\mathrm { t } _ { \alpha / 2 } = 1.833$
C) $\mathrm { z } _ { \alpha / 2 } = 1.383$
D) $\mathrm { z } _ { \alpha / 2 } = 2.262$

Question

Quizplus · Accepted Answer

Given that $n = 10$ and $\sigma$ is unknown, but the population appears to be normally distributed, the t-distribution is applicable. For a 90% confidence level and a sample size of 10, the critical value from the t-distribution table with $n - 1 = 9$ degrees of freedom is closest to $1.833$, which corresponds to option B.

Do One of the Following, as Appropriate: (A) Find the Critical