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 89 drivers and 68 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.

Is there significant evidence at the 5% level that conductors consume more calories per day than do drivers? Use the pooled two-sample t test to obtain the P-value. (Give answers to 3 decimal places.)

Drivers Conductors Total calories 2814 ± 44 2848 ± 49 Alcohol (grams) 0.27 ± 0.12 0.39 ± 0.05

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(with pooled variances)

Hypothesis test results:

Hence,

t = 4.566

df = 155

P-value = 0.000

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 34 7.4456502 155 4.5664246 <0.0001

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