(solution) 6) A golf club currently has 400 members that pay annual dues to

(solution) 6) A golf club currently has 400 members that pay annual dues to

6) A golf club currently has 400 members that pay annual dues to play golf on the course. Historical records show that 36% of the members use the course at least once a week during the summer season. To verify this, a random sample of 100 members was selected. Complete parts a through d below.

a. Calculate the standard error of the proportion.

b. What is the probability that 32 or more members from the sample used the course at least once a week?
c. What is the probability that between 30 and 40 members from the sample used the course at least once a week?

d. If 48 members from the sample used the course at least once a week, does this support the historical records of course usage? Select the correct choice below and, fill in the answer box to complete your choice.

7) According to a recent survey, 77% of teens ages 12-17 in a certain country used social networks in 2009. A random sample of 140 teenagers from this age group was selected. Complete parts a through d below.

a. Calculate the standard error of the proportion.

b. What is the probability that less than 79% of the teens from this sample used social networks?

c. What is the probability that between 70% and 80% of the teens from this sample used social networks?
d. What impact would changing the sample size to 200 teens have on the results of parts a, b, and c? Choose the correct answer below.

10) For a normal population with a mean equal to 71 and a standard deviation equal to 15, determine the probability of observing a sample mean of 74 or less from a sample of size 16.
p(x (less than or equal to) 74) = 

12) According to the research, 49% of homes sold in a certain month and year were purchased by first-time buyers. A random sample of 185 people who just purchased homes is selected.
Complete parts a through e below.

a. Calculate the standard error of the proportion.

b. What is the probability that less than 96 of them are first-time buyers?

c. What is the probability that more than 99 of them are first-time buyers?

d. What is the probability that more than 90 of them are first-time buyers?

e. What is the probability that between 81 

and 85 of them are first-time buyers?