Question

Do various occupational groups differ in their diets? A British study of this question compared 86 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.

	Drivers	Conductors
Total calories	2812 ± 45	2840 ± 50
Alcohol (grams)	0.26 ± 0.07	0.41 ± 0.11

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 =
P-value =

Answer 1

For sample 1 conductors:

For sample 2 drivers:

Null and alternative hypothesis:

It is a right tailed test.

Test statistic:

df = 68+86 -2 = 152

p-value = T.DIST.RT(0.4157, 152) = 0.339

As p-value = 0.339 > 0.05, we fail to reject the null hypothesis.

There is not significant evidence to prove that conductors consume more calories per day than drivers do at 0.05 significance level.