A study was conducted of genetic and environmental influences on cholesterol levels. The data used for the study were obtained from a twin registry in Sweden. Specifically, four populations of adult twins were studied: 1) monozygotic (MZ) twins reared apart, 2) MZ twins reared together, 3) dizygotic (DZ) twins reared apart, and 4) DZ twins reared together. One issue is whether it is necessary to correct for sex before performing more complex genetic analyses. The data in the following table were presented for total cholesterol levels for DZ twins reared apart, by sex. Parameter Men SD 44.1 Mean N Women 253.3 271.0 44 48 44.1 Answer the following questions pertaining to these data: a. Assuming serum cholesterol is normally distributed and the samples are independent, what is the statistical procedure that can be used to compare the two groups? b. Suppose you want to use the procedure in question a above using a two-sided test. State the hypothesis being tested, and implement the method in question a. Report a p-value (you can use the following online calculator to obtain the p value: c. Are the assumptions in question a likely to hold for these samples? Why or why not