Q29Single correct3 Marks3 Sep 2023

Consider the following situation and match it with suitable test statistic and hypothesis test: Suppose we observe samples from a normal distribution, where the variance is unknown. We want to check whether the mean is greater than $\mu$. What test statistic and test can be applied for this situation?

A

Test Statistic: $T = \text{Sample mean}$, Hypothesis test: Z-test.

B

Test Statistic: $T = \text{Sample mean}$, Hypothesis test: $\chi^2$-test.

C

Test Statistic: $T = \text{Sample variance}$, Hypothesis test: $\chi^2$-test.

D

Test Statistic: $T = \text{Sample mean}$, Hypothesis test: t-test.