2. Earning Money: Marcus works at an ice cream shop. He earns $10.50 each hour. Use Marcus’s timesheet for the week to answer the questions. Date Time In Time Out
April 11 8:45 12:00
April 12 9:00 12:00
April 13 7:30 12:00
April 14 8:00 1:15
April 15 8:30 11:15

a. How many hours did Marcus work for the week? (5 points)

b. How much money did Marcus earn for the week? (5 points)

c. Marcus was offered a position which pays a salary of $150 every week and a 25 cent commission for each ice cream cone he sells. Marcus sells an average of 128 ice cream cones each week. How much will Marcus make in the new position? Compare this to how much he made for a week at his current job. Should he take the new position? Why or why not? (5 points)

The upcoming championship high school football game is a big deal in your little town. the problem is, it is being played in the next biggest town, which is two hours away! to get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. you determine that if more than three students share a ride, on average, you will create the app. you conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. the following data are collected: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5 construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results. part a: state the parameter and check the conditions. part b: construct the confidence interval. be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process. part c: interpret the meaning of the confidence interval. part d: use your findings to explain whether you should develop the ride-share app for the football game.