Medical Screening

1. Your favorite team is in the final playoffs. You have assigned a probability of 60% that it will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 70% of the time. When they lose the series, they win the first game 25% of the time. The first game is over; your team has lost. What is the probability that it will win the series? The following exercises are based on the Applications in Medical Screening and Medical Insurance subsection.

10.11 – A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. 

(A) Determine the 95% confidence interval estimate of the population mean.

(B) Repeat part (a) with a sample size of 100. 

(C) Repeat part (a) with a sample size of 400.

(D) Describe what happens to the confidence interval estimate when the sample size increases.

Question

The Web-based company Oh baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using α = .025? (See story.news.yahoo.com accessed June 25, 2004.)

2 . An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule. (b) Is this a close decision?

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