Q23Single correct3 Marks28 Apr 2024

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: $Z\text{-test}$.

B

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

C

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

D

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