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 standard deviation oi' the differences are x = 70.534 and 8.851 points. read 7 write (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 ) (_/ .Ex) (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, \\:I X points lower to E X points higher than they do on the writing test. (c) Does the confidence interval proVide convincing evidence that there is a real difference in the average scores? Explain. u Since 0 / included in the interval, the confidence interval / 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