ASSIGNMENT 3 Due Date: 26.06.2020 1. A survey of 1000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Ohio scores showed a mean of 20.8. If the population standard deviation in each case is 3, can we conclude that Ohio is below the national average? Use a _0.05. 2. The number of points held by a sample of the NHL's highest scorers for both the Eastern Conference and the Western Conference is shown below. At a _0.05. can it be concluded that there is a difference in means based on these data? Eastern Conference Western Conference 83 60 75 58 77 59 72 58 78 59 70 58 37 57 62 61 59 66 55 61 3. A sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a 19th-century novel or by watching it in DVD form Each student was assigned one novel to read and a different one to watch, and then they were given a 20-point written quiz on each novel. The test results are shown below. At a 0.05, can it be concluded that the book scores are higher than the DVD scores? Book 90 80 90 75 80 90 84 DVD 85 72 80 80 70 75 80 4. National statistics show that 23% of men smoke and 18.5% of women do. A random sample of 180 men indicated that 50 were smokers, and of 150 women surveyed, 39 indicated that they smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers. Comment on your interval-does it su t support the claim that there is a difference? 5. The standard deviation for the number of weeks 15 New York Times hardcover fiction books spent on their bestseller list is 6.17 weeks. The standard deviation for the 15 New York Times hardcover nonfiction list is 13.12 weeks. At a _ 0.10, can we conclude that there is a difference in the variances? ASSIGNMENT 3 Due Date: 26.06.2020 1. A survey of 1000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Ohio scores showed a mean of 20.8. If the population standard deviation in each case is 3, can we conclude that Ohio is below the national average? Use a _0.05. 2. The number of points held by a sample of the NHL's highest scorers for both the Eastern Conference and the Western Conference is shown below. At a _0.05. can it be concluded that there is a difference in means based on these data? Eastern Conference Western Conference 83 60 75 58 77 59 72 58 78 59 70 58 37 57 62 61 59 66 55 61 3. A sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a 19th-century novel or by watching it in DVD form Each student was assigned one novel to read and a different one to watch, and then they were given a 20-point written quiz on each novel. The test results are shown below. At a 0.05, can it be concluded that the book scores are higher than the DVD scores? Book 90 80 90 75 80 90 84 DVD 85 72 80 80 70 75 80 4. National statistics show that 23% of men smoke and 18.5% of women do. A random sample of 180 men indicated that 50 were smokers, and of 150 women surveyed, 39 indicated that they smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers. Comment on your interval-does it su t support the claim that there is a difference? 5. The standard deviation for the number of weeks 15 New York Times hardcover fiction books spent on their bestseller list is 6.17 weeks. The standard deviation for the 15 New York Times hardcover nonfiction list is 13.12 weeks. At a _ 0.10, can we conclude that there is a difference in the variances
