To test the theory that the consumption of red meat in the United States has decreased over the last 10 years, a researcher decides to select hospital nutrition records for 400 subjects surveyed 10 years ago and to compare their average amount of beef consumed per year to amounts consumed by an equal number of subjects interviewed this year. The data are given in the table. Do the data present sufficient evidence to indicate that per-capita beef consumption has decreased in the last 10 years? Test at the 1% level of significance.
Test statistic =
Critical Value(s) =
Conclusion:
Interpretation:
Find a 99% lower confidence bound for the difference in the average per-capita beef consumption for the two groups.

Does your confidence bound confirm your conclusions above?

Explain.

What additional information does the confidence bound give you?
________________

Question

To test the theory that the consumption of red meat in the United States has decreased over the last 10 years, a researcher decides to select hospital nutrition records for 400 subjects surveyed 10 years ago and to compare their average amount of beef consumed per year to amounts consumed by an equal number of subjects interviewed this year. The data are given in the table.

Do the data present sufficient evidence to indicate that per-capita beef consumption has decreased in the last 10 years? Test at the 1% level of significance.
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
Interpretation: __________________________________________
Find a 99% lower confidence bound for the difference in the average per-capita beef consumption for the two groups.
______________
Does your confidence bound confirm your conclusions above?
______________
Explain.
__________________________________________
What additional information does the confidence bound give you?
__________________________________________

Toaha Siddique · Accepted Answer

Final Answer : 3.35; 2.33; Reject H 0 ; The average per-capita beef consumption has decreased in the last ten years; 2.13; Yes; Since the difference in the mean is positive, you can again conclude that there has been a decrease in the average per-capita beef consumption over the last ten years.; In addition, it is likely that the average consumption has decreased by more than 5.63 pounds per year.

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