Dogs and fat, second helping In Exercise 3, we sawa 90% confidence interval of (-6.5, -1.4) grams formMeat - mBeef , the difference in mean fat content for meatvs. all-beef hot dogs. Explain why you think each of thefollowing statements is true or false:a) If I eat a meat hot dog instead of a beef dog, there’s a90% chance I’ll consume less fat. b) 90% of meat hot dogs have between 1.4 and 6.5 gramsless fat than a beef hot dog.c) I’m 90% confident that meat hot dogs average1.4–6.5 grams less fat than the beef hot dogs.d) If I were to get more samples of both kinds of hot dogs, 90% of the time the meat hot dogs would aver-age 1.4–6.5 grams less fat than the beef hot dogs. e) If I tested many samples, I’d expect about 90% of the resulting confidence intervals to include the true dif-ference in mean fat content between the two kinds of hot dogs.

MATLAB: An Introduction with Applications
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Dogs and fat, second helping In Exercise 3, we saw
a 90% confidence interval of (-6.5, -1.4) grams for
mMeat - mBeef
, 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:
a) If I eat a meat hot dog instead of a beef dog, there’s a
90% chance I’ll consume less fat.
b) 90% of meat hot dogs have between 1.4 and 6.5 grams
less fat than a beef hot dog.
c) I’m 90% confident that meat hot dogs average
1.4–6.5 grams less fat than the beef hot dogs.
d) If I were to get more samples of both kinds of hot
dogs, 90% of the time the meat hot dogs would aver-
age 1.4–6.5 grams less fat than the beef hot dogs.
e) If I tested many samples, I’d expect about 90% of the
resulting confidence intervals to include the true dif-
ference in mean fat content between the two kinds of
hot dogs.
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