Online courses: A sample of 257 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 5.29, and the standard deviation was 0.86.
(a) Construct a 90% confidence interval for the mean score.
(b) Assume that the mean score for students taking traditional courses is 5.49. 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.
(a) A 90% confidence interval for the mean score is < μ < . (Round the answers to at least two decimal places.)