Chapter 20, Problem 55E

Hot dogs, last one In Exercise 53, we saw a 90% confidence interval of ( −6.5, −1.4) grams for μ_Meat − μ_Beef , the difference in mean fat content for meat vs. all-beef hot dogs. Explain why you think each of the following statements is true or false:

1. a) If I eat a meat hot dog instead of a beef dog, there’s a 90% chance I’ll consume less fat.
2. b) 90% of meat hot dogs have between 1.4 and 6.5 grams less fat than a beef hot dog.
3. c) I’m 90% confident that meat hot dogs average between 1.4 and 6.5 grams less fat than the beef hot dogs.
4. d) If I were to get more samples of both kinds of hot dogs, 90% of the time the meat hot dogs would average between 1.4 and 6.5 grams less fat than the beef hot dogs.
5. e) If I tested more samples, I’d expect about 90% of the resulting confidence intervals to include the true difference in mean fat content between the two kinds of hot dogs.