区间估计与样本数(一)（完整版）实用资料(可以直接使用，可编辑完整版实用资料，欢迎下载）區間估計與樣本數(一)欲比較某一多事故路段加強執法前後違規超速車輛佔通過車輛數之比率，經抽樣調查發現，加強執法前違規之比率16%，加強執法後則降至7%，若兩次抽樣調查之樣本數皆為400，試求：加強執法前違規超速之比率的99%信賴區間。加強執法後違規超速之比率的99%信賴區間。加強執法後下降比率之99%信賴區間。The95%confidenceintervalestimateofthemeantimetakentoprocessanewinsurancepolicyisdays.Whichoneofthefollowingstatementistrue?Only5%ofallpoliciestakelessthan11daysormorethan12daystoprocess.Only5%ofallpoliciestakebetween11and12daystoprocess.About95outofevery100intervalssimilarlyconstructedfromsamplesofsamesizewillcontainthetruemeanvalue.Theprobabilityis0.95thatliesbetween11and12days.Alloftheabove.Suppose95%confidenceintervalforturnsouttobe(1000,2100).Tomakemoreusefulinferencesfromthedata,itisdesiredtoreducethewidthoftheconfidenceinterval.Whichofthefollowingwillresultinreducedintervalwidth?Increasethesamplesize.Decreasestheconfidencelevel.Increasethesamplesizeanddecreasetheconfidencelevel.Increasetheconfidencelevelanddecreasethesamplesize.Amarketsurveywasconductedtoestimatetheproportionofhome-makerswhocouldrecognizethebrandnameofacleanserbasedontheshapeandcolorofthecontainer.Ofthe1,400home-makers,420wereabletoidentifythebrandname.Usingthe0.99degreeofconfidence,thepopulationproportionlieswithinwhatinterval?Whataretheconfidencelimits?Interpretyourfindings.Asurveyof1,000randomlysampledcitizensfoundthat650ofthesecitizenswouldsupportatrafficpolicy.Assumingthatthepopulationisinfinite,whatisthe95%confidenceintervalforthepercentageofsupportforthepolicy?(以數字寫出計算公式即可，不必算到最後的答案)NSYSUBookstoredecidedtosamplethedollaramountofindividualmorningandeveningpurchases.Themanagerbelievesthatthisinformationwouldhelpherorhimdevelopanewmarketingstrategy.Thedataisgiveninthetablebelow:MorningEveningFinda95%confidenceintervalestimateforthedifferencebetweentheaveragepurchaseamountsforthetwotimesofday.Inarandomsampleof100observations,.The95.44%confidenceintervalforis(A)0.122to0.278(B)0.164to0.236(C)0.134to0.266(D)0.120to0.280Arandomsampleof10