(Solution) - Use the rank sum test to analyze the data set -(2025 Original AI-Free Solution)

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Use the rank sum test to analyze the data set in Figure 9.20 concerning Example 51 on acrophobia treatments. Let population A be with the standard treatment and population B be with the new treatment.
(a) What is SA?
(b) What is UA?
(c) Is the value of UA, consistent with the new treatment being better than the standard treatment?
(d) Use a computer package to find a one-sided p-value for the null hypothesis H0 :?A ? ?B versus the alternative hypothesis HA : ?A < ?B.