1. A high school randomly selected 75 of the 200 seniors at the school to take a sample college entrance exam. The mean grade point average (GPA) of the seniors selected was 2.85, and the standard deviation was 0.4. Select all of the statements that are true.

(note: margin of error = 2 (1/sqrt(n)), where s is the standard deviation and n is the sample size)

The margin of error for the mean gpa is about 0.057

The margin of error for the mean gpa is about 0.092

The margin of error would decrease if the sample size were changed to 125 seniors

The margin of error would increase if the sample size were changed to 125 seniors

  1. The police chief of a town is trying to determine the average speed of drivers on a specific road.

    • The police chief took a random sample of the speeds of 100 drivers on the road

    • The mean was 48.5 mph, with a standard deviation of 2.5 mph

    • The police chief wanted to decrease the margin of error of his next sample

Which choice would decrease the margin of error?

(note: margin of error = 2 (1/sqrt(n)), where s is the standard deviation and n is the sample size)

decreasing the sample size

increasing the sample size

changing the time that the data is collected

changing the road on which the data is collected