Online courses: A sample of 255 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 5.21, and the standard deviation was 0.84. (a) Construct a 99.9% confidence interval for the mean score. (b) Assume that the mean score for students taking traditional courses is 5.47. 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 99.9% confidence interval for the mean score is <<. (Round the answers to at least two decimal places.)

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