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 of the differences are Xread _ write = -0.534 and 8.851 points. (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.) -1.777 0.70 10 ) (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, -1.77 * points lower to 0.70 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. Since 0 |is vy included in the interval, the confidence interval |does not 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