Question

Do various occupational groups differ in their diets? A British study of this question compared 95 drivers and 64 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	2828 ± 11	2850 ± 25
Alcohol (grams)	0.29 ± 0.08	0.39 ± 0.12

(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.)

t =	_______
df =	_______

Conclusion

a.Reject H₀.

b.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

a.Reject H₀.

b.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.)
( ____ , ____ )

Answer 1

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AS FOR GIVEN DATA...

a)

Drivers Total calories:  

Drivers Alcohol:

Conductors Total calories:

Conductors alcohol:

b)

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean of total calories of drivers is different than total calories of conductors, at the 0.05 significance level.

c)

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean of Alcohol consumption of drivers is different than that of conductors, at the 0.05 significance level.

d)

95% confidence interval of alcohol consumption of the bus conductors is

e)

99% confidence interval of the difference between two means is given by

Where

Pooled variance

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