At a large public state college in Virginia, the mean Verbal SAT score of all attending students was u = 600 with a population standard deviation: = 96. A random sample of 64 students is selected from the population of students. What is the probability that the sample mean Verbal SAT score for the 64 students is at most 624? a. 4.75% D none b. none of these OC.95.25% C d. 58.31% e. 41.69%

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 42. Assume seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ¤ - N( 111 42 b. For the group of 7, find the probability that the average number of friends is less than 96. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+1 • The Central Limit Theorem For Sums 2 [+] Hint Submit Question

In the 1992 presidential election, Alaska's 40 election districts averaged 2008 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. Find the probability that a randomly selected district had fewer than 2096 votes for President Clinton. b. Find the probability that a randomly selected district had between 2047 and 2177 votes for President Clinton.c. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.

The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.3 mm. Suppose that 46 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ¤ - N( b. For the group of 46, find the probability that the average hand length is more than 188. c. Find the third quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums 2 [+]