Educational researchers are interested in the learning Habits of elementary school students to test a new method of teaching the researchers gave a pretest to randomly selected group of 33rd graders across the state of North Carolina after teaching these students with a new method for one month the researchers give them a post test we are interested in the mean difference of pre and post test scores. Suppose that the 90% confidence interval for the main difference of test scores is 3, 7. What is the value of the point estimate. Based upon your calculated point estimate and the confidence interval given in part B what is the estimate margin of error? We consider the difference between the reading and writing scores as a random sample of 200 students who took the high school and beyond survey. The main and standard deviation of the differences are -.545 and 8.895 points. Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. Round your answer to 2 decimal places. Interpret this interval in context we are 95% confident that on the reading test student score, on average, __ Points lower to __ Points higher than they do on the writing test. Does the confidence interval provide convincing evidence that there is real difference in the average scores?? l

Educational researchers are interested in the learning habits of elementary school students. To test a new method of teaching, the researchers give a pretest to a rando new method for 1 month, the researchers give them a post-test. We are interested in the mean difference of pre- and post-test scores. (a) After collecting the data, the researchers calculate a 90% confidence interval to estimate the population mean difference in pre- and list test scores. In this case, O the 30 third graders tested all third graders in North Carolina O all third graders O all students in North Carolina (b) Suppose that the 90% confidence interval for the mean difference of test scores is (3, 7). What is the value of the point estimate? 19 The point estimate is x points (c) Based upon your calculated point estimate and the confidence interval given in part (b), what is the estimated margin of error? X The margin of error is the difference between the endpoints of the confidence interval and the point estimate. points [-/6 Points] DETAILS DIEZSTAT4 7.2.022. We consider the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey. The mean and sta (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. (Round your answers to two decimal places.) (b) Interpret this interval in context. (Round your answers to two decimal places.) We are 95% confident that on the reading test students score, on average, points lower to points higher than they do on the writing (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. Since 0 ..-Select-.. vincluded in the interval, the confidence interval "Select--- v | provide convincing evidence that there is a real difference in the average scores You may need to use the appropriate table in the Appendix of Tables to answer this