A Sample of 6 Measurements, Randomly Selected from a Normally $\bar { x } = 9.1 , \mathrm {~s} = 1.5$

Essay

A sample of 6 measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: $\bar { x } = 9.1 , \mathrm {~s} = 1.5$ . Test the null hypothesis that the mean of the population is 10 against the alternative hypothesis $\mu < 10$ . Use $\alpha = .05$ .