Your favorite team is in the final playoffs. You have assigned a probability of 60% ...

6.81 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.