The following random sample was obtained from a normal population with variance given as 1.00.
SN = {9.37, 8.86, 11.49, 9.57, 9.15, 9.10, 10.26, 9.87, 7.82, 10.47}
To test the hypothesis that the population mean is different from a postulated value of 10.00, (i) state the appropriate null and alternative hypotheses; (ii) determine the appropriate test statistic; (iii) determine the rejection region for a hypothesis test at the α = 0.05 signi?cance level; (iv) determine the associated p-value. (v) What conclusion should be drawn from this test?