Perform the following activities:
“Probability”: Exercises 6.75 and 6.81
6.75- The U.S. National Highway Traffic Safety Administration gathers data concerning the causes of highway crashes where at least one fatality has occurred. The following probabilities were determined from the 1998 annual study (BAC is blood-alcohol content). (Source: Statistical Abstract of the United States, 2000, Table 1042.)
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.
“Introduction to Estimation”: Exercises 10.11 and 10.14
10.11
a. A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. 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.
10.14
a. A statistics practitioner randomly sampled 100 observations from a population with a standard deviation of 5 and found that overbar above x is 10. Estimate the population mean with 90% confidence.
b. Repeat part (a) with a sample size of 25.
c. Repeat part (a) with a sample size of 10.
d. Describe what happens to the confidence interval estimate when the sample size decreases.
“Introduction to hypothesis testing”: Exercises 11.52 and 11.60
11.52
A statistics practitioner wants to test the following hypotheses with s = 20 and n = 100:
H sub 0 colon mu equals 100; H sub 1 colon mu is greater than…