A sample of size n = 39 has sample mean x = 57 and sample standard deviation s = 9.9. Part: 0 / 2 Part 1 of 2 (a) Construct a 95% confidence interval for the population mean u. Enter the values for the lower and upper limits and the mean to graph. Round the answers to one decimal place. 95% confidence interval 45.0 64.0 54.5 45.0 64.0 XOnline courses: A sample of 261 students who were taking online courses were asked to describe their overall impression of online learning on a scale of 1-7, with 7 representing the most favorable impression. The average score was 5.45, and the standard deviation was 0.90. (a) Construct a 99.5% confidence interval for the mean score. (b) Assume that the mean score for students taking traditional courses is 5.53. A college that offers online courses claims that the mean scores for online courses and traditional courses are the same. Does the confidence interval contradict this claim? Explain. Part 1 of 2 (a) A 99.5% confidence interval for the mean score is 5.3