Healthy Eating As Americans become moreconscious about the importance of good

Chapter 9, Problem 22

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Healthy Eating As Americans become moreconscious about the importance of good nutrition,researchers theorize that the consumption of red meatmay have decreased over the last 10 years. Aresearcher selects hospital nutrition records for 400subjects surveyed 10 years ago and compares the averageamount of beef consumed per year to amountsconsumed by an equal number of subjects interviewedthis year. The data are given in the table.Ten Years Ago This YearSample Mean 73 63Sample Standard Deviation 25 28a. Do the data present sufficient evidence to indicatethat per-capita beef consumption has decreased inthe last 10 years? Test at the 1% level of significance.b. Find a 99% lower confidence bound for the differencein the average per-capita beef consumptionsfor the two groups. (This calculation was done aspart of Exercise 8.78.) Does your confidence boundconfirm your conclusions in part a? Explain. Whatadditional information does the confidence boundgive you?

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