Chapter 9 Review Game

Question 1

On a scale of 1 to 10, ratings about school cafeteria food have a mean of 4.2 and a standard deviation of 1.6. If you take a random sample of 60 students, what is the probability that their mean rating for cafeteria food will be less than 4.0?

Question 2

Over the course of his career, Mr. Cilento has been rated by the students on a scale from 1 to 10. His average rating is a 6.3 with a standard deviation of 2.2. If 5 students are selected at random, what is the probability that their average rating will be between 5.8 and 6.5?

Question 3

PARCC scores for all 750 Geometry students in Woodbridge Township vary according to a Normal Curve with a mean of 3.18 and standard deviation of .60. If you take a Woodbridge Geometry student at random, what is the probability his/her PARCC score will be greater than 3.5?

Question 4

Nationwide, 42% of adults refer to the living room piece of furniture that one sits on as a sofa. Describe the sampling distribution of p-hat….the proportion of people in a sample of 300 who call the piece of furniture a sofa.

Question 5

In a survey given to his AP Statistics classes this year, 62% of students approve of Mr. Seavy’s teaching methods. If you take a random sample of 30 of Mr. Seavy’s students, what is the probability that the proportion who approve of his teaching methods will be greater than .65?

Question 6

Currently, President Obama’s approval rating stands at 41%. If you take a random sample of 500 American adults, what is the probability that the proportion of people in the sample who approve of the President’s job performance is between .40 and .42?

Question 7

Suppose the heights of adult women vary according to the Normal distribution with mean 64.5 and standard deviation 2.5. If 5 women are selected, what is the probability that exactly 2 of them will have heights below 63 inches?

Question 8

Suppose the heights of adult men vary according to the Normal distribution with mean 70.5 and standard deviation 3.5. If 2 men are selected, what is the probability that at least one of them will have a height above 75 inches?

Question 9

Suppose the heights of adult men vary according to the Normal distribution with mean 70.5 and standard deviation 3.5. What height represents the 80th percentile of men’s heights?

Question 10

Suppose the heights of adult men vary according to the Normal distribution with mean 70.5 and standard deviation 3.5. On average, how many tries would it take to randomly select a male under 62 inches tall? Round your answer to the nearest whole number.