Q#1 1. The normality p-value for population a is 56.83% and for b it is 80.38%. Therefore, normality is reasonable for each population. 2. Since 76.857 < 82.714 then our sample means are consistent with Ha. 3. From the ttest output the p-value for the equal variance hypotheses is 61.89 and so we can conclude that the population variances are equal. 4. Since the population variances are equal, the p-value for the stated hypotheses is 0.24%. Remember that this is a two sided p-value and so, since our alternative is one sided, our p-value is 0.12%. This is highly significant and we reject H0 and conclude that mu(ya) is less than mu(yb). Q#2 1. The normality p-value for population a is 0.36% and for b it is 0.26%. Therefore, normality is not reasonable for either population. 2. Since normality is not reasonable, the ttest output cannot be used. The side by side box plots suggest that it is reasonable to conclude that the populations are approximately the same shape and so we may use the output from npar1way to determine the p-value for the stated hypotheses. The p-value is 7.4% and so we have insufficient evidence to reject H0 and conclude that, given the evidence, it is reasonable to say that mu(ya) is equal to mu(yb).