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Quantitative Analysis � International and Public Affairs

This document covers quantitative analysis methods applied to international and public affairs.

Elijah Nelson
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1Quantitative Analysis–International and Public AffairsU6500 Sections1, 2, 3, 4/Fall2015Professor YangHomework #8:Inference for one mean, Difference in two means, one proportion,and Difference in two proportionsDuein Mailbox 49 6thFloor IAB:Wednesday November 114:00 p.m.(Sections 3 & 4)/ThursdayNovember 174:00 p.m.(Sections 1 & 2)52points total1.(8 points total)Bags of a certain brand of tortilla chips claim to have a net weight of 14oz. Net weights actually vary slightly from bag to bag. Assume net weightsare Normallydistributed. A representative of a consumer advocate group wishes to see if there is anyevidence that the mean net weight is less than advertised and so intends to test thehypothesesH0:= 14 versusHa:< 14. To do this, he selects 16 bagsof tortilla chipsof this brand at random and determines the net weight of each. He finds a sample meanof 13.88 oz.with a sample standard deviation of 0.24 oz.a.What is the value of the test statistic?13.8814Test statistic,20.2416xtsn b.What is the critical value at the .05 significance level for this test? Infer thep-value from the table.The critical value at the .05 significance level for this test is–1.753.Thep-value is in between 0.025 and 0.05.c.What is your conclusion (again, assume significance level of .05)?Brieflyexplain your conclusion (citing your observed test statistic andp-value and whatyou are comparing these against).Since the observed test statistic,t=–2 <–1.753, reject the null hypothesis at.05 level.The reported results provide enough evidence to conclude that the mean netweight is less than advertised,t(15) =–2.00,p=.032 < .05.2.(8 points total)A researcher wished to compare the average amount of time spent inextracurricular activities by high school students in a suburban school district with that ina school district of a large city. The researcher obtained a simple random sample of 60high school students in a large suburban school district and found the mean time spent in

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Economics

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