Reliance on solid biomass fuel for cooking and heating exposes many children fromdeveloping countries to high levels of indoor air pollution. The article"Domestic Fuels, IndoorAir Pollution, and Children’s Health" (Annals of the N. Y. Academy of Sciences, 2008: 209–217)presented information on various pulmonary characteristics in samples of children whosehouseholds in India used either biomass fuel or liquefied petroleum gas (LPG). For the 755children in biomass households, the sample mean peak expiratory flow (a person’s maximumspeed of expiration) was 3.30 L/s, and the sample standard deviation was 1.20. For the 750children whose households used liquefied petroleum gas, the sample mean PEF was 4.25 andthe sample standard deviation was 1.75.a. Calculate a confidence interval at the 95% confidence level for the population mean PEF forchildren in biomass households and then do likewise for children in LPG households. What isthe simultaneous confidence level for the two intervals?b. Carry out a test of hypotheses at significance level .01 to decide whether true average PEF islower for children in biomass households than it is for children in LPG households (the citedarticle included a P-value for this test).c.࠵?࠵?࠵?$, the forced expiratory volume in 1 second, is another measure of pulmonary function. The cited article reported that for the biomass households the sample mean࠵?࠵?࠵?$was 2.3 L/sand the sample standard deviation was .5 L/s. If this information is used to compute a 95% CIfor population mean࠵?࠵?࠵?$, would the simultaneous confidence level for this interval and thefirst interval calculated in (a) be the same as the simultaneous confidence level determinedthere? Explain.