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Cholesterol levels (in mg/dL) for volunteers after they were randomly assigned either a treatment or a placebo are listed below. Test whether mean cholesterol level is lower for the treatment than for the placebo group. Placebo: 198.5, 185.5, 194.5, 187.0, 214.5, 203.5, 188.0, 183.0, 183.5, 178.5 Treatment: 190.0, 184.5, 191.0, 180.0, 179.5, 183.0, 173.5, 183.0, 179.0, 180.5 Which test is appropriate? Select all that apply. The pooled 2-sample t-test The 2-sample t-test (unequal variances) The paired t-test O A z-test for the difference of two means In the answer template in the spaces indicated, write hypotheses to answer the question and check conditions, including providing graphs appropriate to check the conditions. You can make the graphs by hand or using RStudio. If you use RStudio, sketch them on your paper. For the best choice of test, find the values of the test statistic (Placebo - Treatment) and degrees of freedom (both to two decimal places), and the p-value (to four decimal places). t= df= p-value= In the answer template in the space indicated, provide a picture of the sampling distribution, labeled with the test statistic and p-value, with the area corresponding to the p-value shaded. Select an appropriate conclusion. O We reject the null hypotheses. There is evidence to conclude that mean cholesterol level differs between the two groups. We do not reject the null hypotheses. There is not evidence to conclude that mean cholesterol level differs between the two groups. We do not reject the null hypotheses. There is evidence to conclude that mean cholesterol level differs between the two groups. O We reject the null hypotheses. There is not evidence to conclude that mean cholesterol level differs between the two groups