Mathematics, 19.07.2020 14:01, eatheng4441
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 756 children in biomass households, the sample mean peak expiratory flow (a person's maximum speed of expiration) was 3.4 L/s, and the sample standard deviation was 1.2. For the 752 children whose households used liquefied petroleum gas, the sample mean PEF was 4.28 and the sample standard deviation was 1.19.
Required:
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. What is the simultaneous confidence level for the two
intervals?
b. Carry out a test of hypotheses at significance level 0.01 to decide whether true average PEF is lower for children in biomass households than it is for children in LPG households (the cited article included a P-value for this test).
c. FEVI, the forced expiratory volume in 1 second, is another measure of pulmonary function. The cited article reported that for the biomass households the sample mean FEY, was 2.3 L/S and the sample standard deviation was .5 L/s. If this information is used to compute a 95% Cl for population mean FEVI, would the simultaneous confidence level for this interval and the first interval calculated in (a) be the same as the simultaneous confidence level deter-mined there? Explain.
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