Male and female turtles may experience different serum cholesterol concentrations in their blood. Provide an appropriately labeled boxplot of the data below and use a randomization test to examine whether the null hypothesis holds that male and female turtles have the same mean serum cholesterol. Report the difference in the mean serum cholesterol between groups, the randomized 95% confidence level of the difference of the means under the null hypothesis, and the randomized probability of getting a value as extreme or more extreme than the observed difference in the means given these data (that is a p-value). Please show your work for full credit (i.e. code and solutions).
Male = c(220.1, 218.6, 229.6, 228.8, 222.0, 224.1, 226.5)
Female = c(223.4, 221.5, 230.2, 224.3, 223.8, 230.8)