Question

In a sample of size 15 from a population with a distribution characterized by negative skewness, it is observed that the mean =65 and sd=21. Is it appropriate to use the t-test statistic to test the null hypothesis h0: μ=60? Justify your answer.

Answer 1

It is not appropriate to use the t-test statistic in this case.

Step-by-step explanation:

When performing a hypothesis test of a single population mean using a t-distribution, there are certain assumptions that need to be met. The data should be a simple random sample from a population that is approximately normally distributed. Since the sample size is 15, which is relatively small, it is not appropriate to use the t-test statistic in this case.