Using the Wage data from $R$ package ISLR, answer the following questions:

a$)$ Determine whether there is evidence that those who obtain an education level greater than high school

earn a different mean wage from those who obtain a high school degree or less. Consider your options

in this problem. There are multiple ways to accomplish your goal.

b$)$ Visualize the distribution of the difference in mean wage between those who obtain more than a high

school education and those who obtain a high school degree or less in this sample. Comment on the

distribution.

c$)$ Create a $90\%$ confidence interval for the difference in mean wage between jobs with type information and

jobs with type industrial. Once again, there are multiple ways to proceed, but please use a bootstrapping

procedure. Please report two CIs: the first, using the percentile methods, and the second, the Bootstrap

Principle method.