Question 1) After deducting grants based on need, the average cost to attend the

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Question 1)

After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $27,175. Assume the population standard deviation is $7400. Suppose that arandom sample of 60 USC students will be taken from this population. What is the probability that the sample mean will be more than $30,000?

Question 2)

Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be with 0.04 of the population proportion?

Question 3)

Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be greater than 0.45?

Question 4)

The proportion of people insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is 0.15. Assume we randomly sample 150 insured drivers. What's the probability that the sample proportion is within 0.03 of the population proportion?

Question 5)

The proportion of people insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is 0.15. Assume we randomly sample 150 insured drivers. What's the probability that the sample proportion is less than 10%?

Question 6)

The average cost of automobile insurance is $939. Assume that the population standard deviation is $245. What is the probability that a random sample of policies will have a sample mean within $25 of the population mean for a sample size of 50?

Question 7)

The average cost of automobile insurance is $939. Assume that the population standard deviation is $245. What is the probability that a random sample of policies will have a sample mean within $25 of the population mean for a sample size of 500?

Explanation / Answer

Per chegg rules, I am answering the first question for you

mu=27175 and sigma=7400 , also n=60

Therefore for 30000, z= (30000-27175)/(7400/sqrt(60)) =2.95

P(X>30000)= P(z>2.95) or 1-P(z<2.95)

From normal distribution table we see that this is 1-0.9984

or 0.0016

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