Sam is a real estate vendor that focuses on rental of restaurant spaces. He believes that restaurants that have outdoor seating generally receive higher customer ratings than those that do not. Consistent with the background information provided by the online vendor who has provided the standardised ratings, Sam examines the data and thinks a rating above 50 is a good benchmark.
Formally test the hypothesis that the average rating of a restaurant without outdoor seating is 'good' (i.e., significantly more than 50).
Formally test the hypothesis that the average rating of a restaurant with outdoor seating is 'good' (i.e., significantly more than 50)
Construct a confidence interval for the average rating of restaurants without outdoor seating and a second confidence interval focusing on the average rating of restaurants with outdoor seating.
Present these in a graphical format to further elaborate on whether Sam's assertions that one type of restaurant receives significantly higher ratings than the other are correct.
What can you conclude with these various sets of results?