Be sure to show all of the steps and the details of your calculations. Problem 1. Hypothesis Testing I: The one-sample case Solve each of the two following problems (a and b) using the five-step model for hypothesis testing (excluding the first step). Use an alpha level of 0.10 for problem a. and an alpha level of 0.01 for problem b. a. The average annual income calculated from a random sample in an urban municipality was found to be $49,400 (s=$6,335; N=3000). The average annual income in the population is $28,165. Is this municipality significantly different from the rest of the population on the measure of annual income? Be sure to frame your interpretation (step 5) in the context of the original question. (worth 4.5%) b. A researcher hypothesized that individuals with chronic diseases would have a lower quality of life than healthy individuals. The astute researcher collected data from a random sample using a Satisfaction with Life scale and found that the average score of 450 randomly selected chronically ill patients was 65, with a standard deviation of 10.5. The researcher knew that in the population, the average score is 77.8. Do chronically ill patients have a significantly lower level of satisfaction in life than the rest of the population? (Quality of Life is an interval-ratio variable that ranges from 0 to 100). Be sure to frame your interpretation (step 5) in the context of the original question. (