Ch6_selected_Confidence_Intervals

Ch6_selected_Confidence_Intervals - Chapter 06 - Confidence...

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Chapter 06 - Confidence Intervals CHAPTER 6 CONFIDENCE INTERVALS 6.10 σ = 430 n = 30 x = 1482; (Use template: Estimating Mean.xls, sheet : sample stats) 95% CI = [1328.13, 1635.87] 13 n = 50 x = 146.75 = 35.2 95% C.I.: 146.75 ± 1.96(35.2/ 50 ) = [136.99, 156.51] 90% C.I.: 146.75 ± 1.645(35.2/ 50 ) = [138.56, 154.94] 14 n = 100 σ = 30 X = 150 90% C.I.: 150 ± 1.645(30/ 100 ) = [145.06, 154.94] 18 n = 50 x = 14.5 s = 5.6 95% C.I.: 14.5 ) 50 / 6 . 5 ( 96 . 1 ± = [12.95, 16.05] 90% C.I.: 14.5 ) 50 / 6 . 5 ( 645 . 1 ± = [13.20, 15.80] (template : Estimating Mean.xls, sheet : sample stats) 21 From the data we compute: n = 32 x = 30.5625 s = 5.775 99% C.I.: x ) / ( 005 . n s z ± = 30.5625 ) 32 / 775 . 5 ( 576 . 2 ± = [27.93, 33.19] thousands of miles. 22 n = 100 s = 2.1 X = 3.2 95% C.I.: 3.2 ± 0.55154, [2.64546, 3.75154] 23 From the data compute: n = 25 x = 81.240 s = 15.447 For df = 24 and α = 0.01, we use 2 / t = 2.797, so CI : x ) / ( 2 / n s t ± = 81.240 ± 2.797(15.447/5) = [72.599, 89.881]
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Ch6_selected_Confidence_Intervals - Chapter 06 - Confidence...

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