A sample of size n = 42 has sample mean x = 53.1 and sample standard deviation s = 8.2. Part: 0 / 2 Part 1 of 2 Construct an 80 % confidence interval for the population mean u. Round the answers to one decimal place. An 80% confidence interval for the population mean isOnline courses: A sample of 269 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 5.77 , and the standard deviation was 0.98 . (a) Construct a 90% confidence interval for the mean score. (b) Assume that the mean score for students taking traditional courses is 5.61 . 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: 0 / 2 Part 1 of 2 (a) A 90% confidence interval for the mean score is