Kitti wants to investigate the topic of Take-Home Pay. Who earns more money between married or unmarried people? Let 1- = 0.95 and = 0.05. Married Not Married Average $639.60 $658.20 Known standard deviation $60 $90 Sample size 40 60 a. What are the null and alternative hypotheses? b. Draw the picture of the distribution of the test statistic. Include region (s) of rejection and non- rejection. c. What is the critical value? d. What is the calculated (computed) value of the test statistic? e. What is the p-value for the computed test statistic? f. State the decision rule and your conclusion. g. Construct 95% confidence interval estimate for the difference between married or unmarried people