In the modules, we have discussed the equivalence between a 100% x (1 – a) confidence interval and a corresponding hypothesis test at level a. Perhaps you also recall computing, on Quiz 8, the margin of error for a 95% confidence interval for the true mean difference in LDL cholesterol reduction between men and women upon switching from an omnivorous diet to a plant-based diet for 6 weeks. Here we will conduct the equivalent hypothesis test. To determine the effects, researchers measured the LDL levels of 36 randomly selected men and 41 randomly selected women before and after spending 6-weeks on a plant-based diet. The researchers then subtracted the two values corresponding to each individual and found the mean reduction for each group. For men, the mean reduction in LDL was 13.3 mg/dl with a standard deviation of 1.3 mg/dl. For women, the mean reduction in LDL was 15.4 mg/dl with a standard deviation of 1.9 mg/dl. Both the scatterplots for the mean LDL reduction in men and women resemble a normal distribution. We will test H: M1 = My vs. H,: M1 = M2. Compute the test statistic of interest (women-men), accurate to three digits beyond the decimal point.