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

Question

Do various occupational groups differ in their diets? A British study of this question compared 94 drivers and 61 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 t (se). Some of the study results appear below. Drivers Conductors Total calories 2824 ± 14 2849 ± 25 Alcohol (grams) 0.28 ±0.06 0.38 ±0.14 (a) Give x and s for each of the four sets of measurements. (Give answers accurate to 3 decimal places.) Drivers Total Calories: x = Drivers Alcohol: x Conductors Total Calories: x 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 df= Conclusion O Reject Ho Do not reject Ho

Explanation / Answer

a) Xbar = 2824
s = 14
Xbar = 0.28
S = 0.06
Xbar = 2849
S = 25
Xbar = 0.38
S = 0.14

b) H0: The conductors consume is not more calories per day than do drivers
H1: The conductors consume is more calories per day than do drivers
Let the los be alpha = 5%

Test Statistic, t: 7.9673
Degrees of freedom: 153

Correct answer: Reject H0

c)
Test Statistic, t: 6.1208

Degrees of freedom: 153
Correct answer: Reject H0

d)
95% Confident the population mean is within the range:
0.3441444 < mean <0.4158556

e)99% Confidence interval:
0.0573852 < µ1-µ2 < 0.1426148

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