Two critics rate the service at six award-winning restaurants on a continuous 0 to 10 scale....

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Two critics rate the service at six award-winning restaurants ona continuous 0 to 10 scale. Their rankings are shown in the tablebelow. Restaurant 1 2 3 4 5 6 Critic 1: 6.1 5.2 8.9 7.4 4.3 9.7Critic 2: 7.3 5.5 9.1 7.0 5.1 9.8
a) Is this paired or unpaired data?
b) Compute a 95% confidence interval for the mean difference inrating. Show all your working.
c) Is there a difference between the critics’ ratings, allowingfor some random variation? Answer this question using a parametrichypothesis test, and compare your result to the confidence intervalfrom part b.
d) Use a nonparametric hypothesis test to further investigatewhether there is a difference between the critics’ rankings.
e) Is the parametric or non-parametric test more appropriatehere?

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3.8 Ratings (439 Votes)

a Since the Critic 1 and Critic 2 rate the same restaurant thegiven data is pairedb Computing the mean difference di 0367 0561The 95 confidence interval for the mean difference in ratingcan be computed as 0956 0222c To test whether there a difference between the criticsratings allowing for some random See Answer

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