Hot dogs, second helping The Consumer Reports article described in Exercise 51 also listed the fat content (in grams) for samples of beef and meat hot dogs. The resulting 90% confidence interval for m...

Hot dogs, second helping The Consumer Reports article described in Exercise 51 also listed the fat content (in grams) for samples of beef and meat hot dogs. The resulting 90% confidence interval for m_Meat
- m_Beef
is (-6.5, -1.4).

 a) The endpoints of this confidence interval are negative numbers. What does that indicate?

 b) What does the fact that the confidence interval does not contain 0 indicate?

 c) If we use this confidence interval to test the hypothesis that m_Meat
- m_Beef
= 0, what’s the corresponding alpha level?

Exercise 51

Hot dogs In the July 2007 issue, Consumer Reports examined the calorie content of two kinds of hot dogs: meat (usually a mixture of pork, turkey, and chicken) and all beef. The researchers purchased samples of several different brands. The meat hot dogs averaged 111.7 calories, compared to 135.4 for the beef hot dogs. A test of the null hypothesis that there’s no difference in mean calorie content yields a P-value of 0.124. Would a 95% confidence interval for m_Meat
- m_Beef
include 0? Explain.