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Do various occupational groups differ in their diets? A British study of this qu

ID: 3057928 • Letter: D

Question

Do various occupational groups differ in their diets? A British study of this question compared 85 drivers and 62 conductors of London double-decker buses. The conductors' jobs require more physical activity. The article reporting the study gives the data as "Mean daily consumption ± (se)." Some of the study results appear below.

(a) Give x and s for each of the four sets of measurements. (Give answers accurate to 3 decimal places.)
Drivers Total Calories: x =
s =
Drivers Alcohol: x =
s =
Conductors Total Calories: x =
s =
Conductors Alcohol: x =
s =

(b) Is there significant evidence at the 5% level that conductors consume more calories per day than do drivers? Use the conservative two-sample t method to find the t-statistic, and the degrees of freedom. (Round your answer for t to three decimal places.)

Conclusion

Reject H0. Do not reject H0.    



(c) How significant is the observed difference in mean alcohol consumption? Use the conservative two-sample t method to obtain the t-statistic. (Round your answer to three decimal places.)
t = Conclusion

Reject H0. Do not reject H0.    



(d) Give a 95% confidence interval for the mean daily alcohol consumption of London double-decker bus conductors. (Round your answers to three decimal places.)
( , )

(e) Give a 99% confidence interval for the difference in mean daily alcohol consumption for drivers and conductors. (conductors minus drivers. Round your answers to three decimal places.)
( , )

Drivers Conductors Total calories 2821 ± 14 2845 ± 23 Alcohol (grams) 0.26 ± 0.12 0.37 ± 0.11

Explanation / Answer

Do various occupational groups differ in their diets? A British study of this question compared 85 drivers and 62 conductors of London double-decker buses. The conductors' jobs require more physical activity. The article reporting the study gives the data as "Mean daily consumption ± (se)." Some of the study results appear below.

(a) Give x and s for each of the four sets of measurements. (Give answers accurate to 3 decimal places.)
Drivers Total Calories: x =
s =
Drivers Alcohol: x =
s =
Conductors Total Calories: x =
s =
Conductors Alcohol: x =
s =

(b) Is there significant evidence at the 5% level that conductors consume more calories per day than do drivers? Use the conservative two-sample t method to find the t-statistic, and the degrees of freedom. (Round your answer for t to three decimal places.)

Conclusion

Reject H0. Do not reject H0.    



(c) How significant is the observed difference in mean alcohol consumption? Use the conservative two-sample t method to obtain the t-statistic. (Round your answer to three decimal places.)
t = Conclusion

Reject H0. Do not reject H0.    



(d) Give a 95% confidence interval for the mean daily alcohol consumption of London double-decker bus conductors. (Round your answers to three decimal places.)
( , )

(e) Give a 99% confidence interval for the difference in mean daily alcohol consumption for drivers and conductors. (conductors minus drivers. Round your answers to three decimal places.)
( , )

Drivers Conductors Total calories 2821 ± 14 2845 ± 23 Alcohol (grams) 0.26 ± 0.12 0.37 ± 0.11
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