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 95 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.

Drivers Conductors

Total calories 2824 ± 41 2840 ± 48

Alcohol (grams) 0.28 ± 0.06 0.38 ± 0.13

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.)

t =

df = 155

P-value =

Explanation / Answer

here pooled std deviation Sp=((n1-1)s12+(n2-1)s22)/(n1+n2-2))1/2=36.4416

hence std error of difference =Sp(1/n1+1/n2)1/2 =5.9496

hence test stat t =(X2-X1)/std error =2.6892

df =n1+n2-2 =155

p value for 155 degree of freedom and above test stat t=0.0040

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