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 754 children in biomass households, the sample mean peak expiratory flow (a person's maximum speed of expiration) was 3.2 V/s, and the sample standard deviation was 1.2. For the 753 children whose households used liquefied petroleum gas, the sample mean PEF was 4.39 and the sample standard deviation was 1.12. (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 C ( D ) LPG households ( NL ) What is the simultaneous confidence level for the two intervals? (Round your answer to two decimal places.) (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 article included a P-value for this test). (Round your test statistic to two decimal places and your p-value to four decimal places.) AM State the relevant hypotheses. Holbiomass - MLPG = 0 Har biomass - ALPG 20 Ho: sbiomass - ALPG H: Hbiomass - LPG Hot Abiomass - LPG Halbiomass - MLPG > 0 O Ho Mbiomass - HLPG = 0 Hallbiomass - MLPG * 0 O Horsbiomass - MLPG = 0 Hi "biomass - MLPG $ 0 Calculate the test statistic and p-value. (Round your test statistic to two decimal places and your p-value to three decimal places.) P-value =

Answer 1

Isolation Reliarxe on Kolid biomass tives •for cooking and heatingi Dexceived in forersulin ice given by Pa bocce bold biomass hoc ca bold Di= 154 02153 82 (134 C-110 (5. - 1.0 Callud ki @ Couche a confidere inlella_al the 95:1.:- interval at the 951. of Lite balc. to oblained the confidence house hold biomass and LPG is Clerc biomasas hocuse bad :- 95.4. of C1 = Zx12x Silo-O cohere NEECT =951 =1-0.95 - Zx12= 20005 [7x12=1.96 x 20:05 x12=0.05/2 R2 =0.0051 From & 20+146*19) = 3.2 [1.96%0.041370 ] -3.2 + 0.08565)

3.22+ 0-0 B565) =C3.- 0.03565, = 13.114.3.285) = [3.11, 3.2007 Cu LPS boude holdt Q51. of C.I = 82 Zul2 = 4:397[-eb x2) = 4.39 [1-96%0.0008) =11:39 0.0799] --39-0-0104, 0.39 +0.0faq) = [.31, cu69) -C4-31, -0 Therefore, biomass hocesse hold Lpa bose hold +(3:11), 3229]] - Luan), (147) (1) what is simultaneais Confidence levelt A 160 the simultaneous Confidence Gee hale to obtained Gere, S iltaneouls GI: 954. ¥ 95.1, = 0.25 +0.95 = 0.9005 = 0.0005*100 -(20.051-6,

Therefore, Simua laneous intervals for the tico interval is 20.05.10 O Cory and a tead of hypothesis is o state the rolekane hypolbecsils woothersil vs, Cees have to obtained bypothesis Clere, (tho): Olbiamasis - ILPG 50 for sun bypothesis. Tue): libiomass - IlLpG LO for aHernatilce hypothecis. Therefore, option ☺ is correct answel is calculate test Clatstic and plakelin and p-value is. the test Statistic we have to obtained Gere. @ test (statistic is, 3.0-CF8g 7- 2 $1232 753 754 7: -1.29 3-57564103

t = -log 0.05914 17= -19.90) {i) p valued R Kalauz (7-fast) = 6-19.90] ſp-lalul 0.00005 Therefore, 7-test --19-20 P-kalue = 0.00005 significane 2=0.01) 7 coe have to compared p-value and Here, Pllake <a 0.00005 I0.0 at &=0.01) Rejected to (iii) Slate Conclusion:- Elere, Daject Ho. The data sugges that the true aillerage PEF is loccer for chiedren in biomass house holds then it is for chiederen in Lpa house holds .

There fore, option is correct anser Feve the forced enpratory we have to explained by the Vokme? ast of C.I popodation FEV, | رى Eteic, No)The tico con fickene Interlaks in @ were from twoo independent randon Samples and So the confidence interval could b e multiplied go.25 ·[. . How two variables Collected on the Gone group of 754 chiedren does not constituie indres dest random Bonples. Finally, Cene wel Cannot) Tag that two cresulting clo for that population balce the conse Simultaneous confidence found in port (a).