Question

7.11 95% confidence interval for the difference in taste. To a restaurant
owner, the real question is how much difference there is in taste. Use the preced-
ing data to give a 95% confidence interval for the mean difference in taste scores
between oil-free and hot-oil frying.

Reference:

7.10 Oil-free deep fryer. Researchers at Purdue University are developing an
oil-free deep fryer that will produce fried food faster, healthier, and safer than hot oil.4
As part of this development, they ask food experts to compare foods made with hot
oil and their oil-free fryer. Consider the following table comparing the taste of hash
browns. Each hash brown was rated on a 0 to 100 scale, with 100 being the highest rat-
ing. For each expert, a coin was tossed to see which type of hash brown was tasted first.
Expert 1 2 3 4 5
Hot oil 78 83 61 71 63
Oil free 75 85 67 75 66
Is there a difference in taste? State the appropriate hypotheses, and carry out a
matched pairs t test using a(alpha) = 0.05

Answer 1