Use the rank sum test to analyze the data set in Figure 9.24 concerning Example 53 on kudzu pulping. Let population A be without the addition of anthraquinone and population B be with the addition of anthraquinone.
(a) What is SA?
(b) What is UA?
(c) Is the value of UA consistant with the addition of anthraquinone increasing or decreasing the yield?
(d) Use a computer package to find a one-sided p-value for the null hypothesis H0 : μA ≥ μB versus the alternative hypothesis HA : μA < μB.
(e) Are your conclusions from this analysis consistent with the analysis presented in Section 9.3.4 using the two-sample t-test?