Reliance on solid biomass fuel for cooking and heating exposes many children fro

Question

Reliance on solid biomass fuel for cooking and heating exposes many children from developing countries to high levels of indoor air pollution. An article presented information on various pulmonary characteristics in samples of children whose households in India used either biomass fuel or liquefied petroleum gas (LPG). For the 752 children in biomass households, the sample mean peak expiratory flow (a person's maximum speed of expiration) was 3.8 L/s, and the sample standard deviation was 1.2. For the 758 children whose households used liquefied petroleum gas, the sample mean PEF was 4.36 and the sample standard deviation was 1.61.

(a)

Calculate a confidence interval at the 95% confidence level for the population mean PEF for children in biomass households and then do likewise for children in LPG households. (Round your answers to two decimal places.)

biomass households

  ,

LPG households

  ,

What is the simultaneous confidence level for the two intervals? (Round your answer to two decimal places.)

%

Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

z=P-value=

Explanation / Answer

USing Ti-84 Solve this problem

A)

Calculate a confidence interval at the 95% confidence level for the population mean PEF for children in biomass households

n= children in biomass households =752

Xbar = the sample mean peak expiratory flow = 3.8

Sx = the sample standard deviation = 1.2.

Path

STATS >>>>TEST >>>>T interval >>>> Stats

>>>Xbar =3.8

>>>Sx =1.2

>>>>n=752  

>>>> C -Level =0.95

then click enter on Calculate .

You get confidence interval =( 3.7141 , 3.8859 )

Confidence interval at the 95% confidence level for the population mean PEF for children in biomass households is

(3.7141 , 3.8859 )

After Roundinf Confidence interval = ( 3.71 , 3.89 )

confidence interval at the 95% confidence level for the children in LPG households.

n= Children whose households used liquefied petroleum gas =758

Xbar = the sample mean PEF =4.36

Sx = the sample standard deviation = 1.61

Path

STATS >>>>TEST >>>>T interval >>>> Stats

>>>Xbar =4.36

>>>Sx =1.61

>>>>n=758

>>>> C -Level =0.95

then click enter on Calculate .

You get confidence interval =( 4.2482 , 4.4748 )

confidence interval at the 95% confidence level for the children in LPG households is

( 4.2482 , 4.4748 )

After Roundinf Confidence interval = ( 4.24 , 4.47 )

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