Steve Solomon, the owner of Leonardo’s Italian restaurant, wonders whether a redesigned menu will increase, on the average, the amount that customers spend in the restaurant. For the following scenarios, pick a statistical method from this chapter that would be appropriate for analyzing the data, indicating whether the samples are independent or dependent, which parameter is relevant, and what inference method you would use:
a. Solomon records the mean sales the week before the change and the week after the change and then wonders whether the difference is “statistically significant.”
b. Solomon randomly samples 100 people and shows them each both menus, asking them to give a rating between 0 and 10 for each menu.
c. Solomon randomly samples 100 people and shows them each both menus, asking them to give an overall rating of positive or negative to each menu.
d. Solomon randomly samples 100 people and randomly separates them into two groups of 50 each. He asks those in Group 1 to give a rating to the old menu and those in Group 2 to give a rating to the new menu, using a 0 to 10 rating scale.