1. A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p be the proportion of high school students who do not get 8 hours of sleep daily.

A. What is the mean of the sampling distribution of p ?

B. Find the standard deviation of the sampling distribution of p. Round to the nearest thousandth.

C. Draw the curve of the sampling distribution of p.

D. Find the probability of selecting a sample of 15000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day.

1. A study by Correlated, Inc of 300 people found that about 51% of the sample liked brussels sprouts. Let p be the proportion of people who like brussels sprouts.

A. What is the mean of the sampling distribution of p ?

B. Find the standard deviation of the sampling distribution of p. Round to the nearest thousandth.

C. Draw the curve of the sampling distribution of p.

D. Find the probability of selecting a sample of 300 people in which more than 55% of people like brussels sprouts.