Sampling Distributions

Main Assignment

Classify each sample.

The host of a podcast show wants to know the listeners' favorite bands. He asks listeners to call the studio and tell him their favorite bands.	The manager of a movie theater wants to know how the movie viewers feel about the new 3D glasses at the theater. She asks every 30th person who exits the theater each Saturday night for a month.
The general manager of a fast-food restaurant chain wants to determine the interest in a new food item that he is considering adding to the menu in the next month. He has the local manager at each of the 10 restaurants in the chain survey 20 randomly selected people throughout the day.	The human resources manager at a business wants to know how satisfied the company's employees are with their jobs. She surveys the 20 people who sit closest to her office.

Solve the following.

1. A high school has 228 freshmen, 309 sophomores, 322 juniors, and 260 seniors. The principal of the school wants to know whether the students at the school would like to have a print-making class or a computer repair class offered as a spring elective. Classify each sampling method. Which is most accurate? Which is least accurate? Explain your reasoning.

Method A: Randomly choose 80 students as all students enter the cafeteria during the lunch period.

Method B: Randomly choose 20 freshmen, 20 sophomores, 20 juniors, and 20 seniors from the cafeteria during lunch period.

Method C: Survey every sophomore and senior.

Determine whether the survey clearly projects the winner. Explain your response.

1. According to a survey of a random sample of students voting for student council president, 57% planned to vote for Thea and 43% plan to vote for James. The survey's margin of error is 6%.

1. The sophomore class student council conducted a survey to determine whether the sophomore class would prefer a class trip to an amusement park or a museum. Among students surveyed, 55% preferred the museum and 45% preferred the amusement park. The survey's margin of error is 6%.