Q38Single correct3 Marks11 Dec 2022

Consider the following situations and match them with suitable test statistics and hypothesis tests: Suppose we observe samples from a normal distribution, where the variance is known. 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 = Sample mean, Hypothesis test: Z-test

B

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

C

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

D

Test Statistic: T = Sample mean, Hypothesis test: t-test