Answer the following:

(a) The standard error in our data sample of men's and women's wages was smaller than the standard deviation. Explain why this was the case. You do not need actual numbers. [1 pt]

(b) Wheelan gives his example of `Bill Gates walks into a bar', as a wealthy person walking among regular folks, to illustrate what property of the mean of a distribution? [1 pt]

(c) In a public opinion poll in which Biden was approved by 53 percent of Americans, the pollsters said the margin of error was 3 percent. This means that in repeated trials 95 percent of the time his approval would be between what lower bound (LB) and what upper bound (UP) of approval?