8 - Chapter 8 Homework 1) Suppose you want to test the claim that 1 = 2. Two samples are randomly selected from each population. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? 2) Construct a 90% confidence interval for 1 - 2. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that 21 = 22. n1 = 10 n2 = 12 x1 = 25 x2 = 23 s1 = 1.5 s2 = 1.9 3) Construct a 95% confidence interval for 1 - 2. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that 21 = 22. n1 = 8 n2 = 7 x1 = 4.1 x2 = 5.5 s1 = 0.76 s2 = 2.51 4) Data sets A and B are dependent. Find d. A B 36 34 32 30 53 31 49 41 37 28 5) Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. Round to the nearest tenth. A B 30 28 28 24 47 25 43 35 31 22 6) Construct a 99% confidence interval for data sets A and B. Data sets A and B are dependent. Round to the nearest tenth. A B 5.8 8.2 6.8 7.1 8.7 7.0 5.7 6.9 5.8 8.3 7) Find the standardized test statistic, z, to test the claim that p1 < p2. The sample statistics listed below are from independent samples. Sample statistics: n1 = 550, x1 = 121, and n2 = 690, x2 = 195 8)) Find the weighted estimate, p, to test the claim that p1 < p2. Use = 0.10. The sample statistics listed below are from independent samples. Sample statistics: n1 = 550, x1 = 121, and n2 = 690, x2 = 195 9) In a recent survey of gun control laws, a random sample of 1000 women showed that 65% were in favor of stricter gun control laws. In a random sample of 1000 men, 60% favored stricter gun control laws. Construct a 95% confidence interval for p1 p2. 10) A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a homework assignment in science. A second sample of 100 different students was asked the same question for an assignment in history. Forty-three students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help. Construct a 98% confidence interval for p1 p2