chapter 8

Answer the following questions regarding hypothesis testing. (a) What is a type I error? (b) What is a type II error? (c) Given that P(type I error) = a and P(type II error) = B, how are a and B related to each other? (d) Is it possible to calculate the exact value of a? Explain. (e) Is it possible to calculate the exact value of B? Explain. (f) When performing a z test for a proportion, what are the minimum requirements? (g) When performing a t test for a mean, what are the minimum requirements?e mean income of a pharmaceutical sales representative is $92, 100. However, the president of Eli Lilly claims that the mean income of his sales representatives is more than the national average. He randomly selects 100 sales representatives and finds that the mean income is $96,325 with a standard deviation of $9,550. Using a = 0.005, determine whether there is enough evidence to support the president's claim. The Audubon Society claims that 54% of raccoons have rabies. A researcher draws blood from 60 randomly selected raccoons and finds that 27 raccoons test positive for rabies. Using a = 0.05, is there enough evidence to support the Audubon Society's claim?. A survey of Boston commuters indicates that the average commut minutes. A real estate agent in Wellesley, MA claims that the commute time from her town to Boston is less than the average and wants to publicize this. She randomly selects 30 commuters and finds the average is 22.1 minutes with a standard deviation of 5.3 minutes. At a = 0.01, does the evidence support her claim? t has been reported that, among the general population, 27% smoke cigarettes. However, the American Medical Association claims that the rate is much less than this for college graduates. The AMA randomly selects 200 college graduates and shows that 39 smoke. With a = 0.01, is there enough evidence to support the AMA claim?The Screen Actors Guild (SAG) claims that the mean age of actresses when they win Oscars is 33 years. A random sample of 81 Oscar-winning actresses is selected. The sample has a mean of 35.9 years with a standard deviation of 1 1.1 years. With a = 0.01, is there enough evidence to support SAG's claim? It has been reported that 18% of all high school seniors in the United States have smoked marijuana at least one time in the last month. However, the headmaster of a private boarding school claims that the rate is much lower for his school. He randomly selects 400 students for testing and finds that 62 test positive for marijuana. With a = 0.05, is there enough evidence to support the headmaster's claim