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.