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?
