University:
Shippensburg University of Pennsylvania
Course:
MAT 217 | Statistics I
Academic year:

2020
Views:

11

Pages:

2
Author:

4Mandy

You are a boy, and your herghe is 176 H_{c} / mu >= 476 9.11.20 always with eguany (Ho) Η mu < 176 PENTICE HO H_{0} / mu = 426 [μετε H_{4} = mu < 476 Choose significanes level (How sensitive your west): Re jaceren ngion -One-sided test (mu < 17epsilon) 176 alle we do not [LT] overline X sim N(mu, sigma * 2/n) Assume sigma ^ 2 = 5.05epsilon ^ 2 overline x = 178 = 178 n = 13 If H_{C} is true trus, then overline x sim N(176, 5.056/13) Pick 1% Derive one-sided rejector segion Start from standard normal disum butiaR -2.3261% Z 0 * 0.1 =-2.326 Standartized resporian region is (- ∞, - 2, 326) Z c, c_{2} O Non-Standart: - 2.326 = (x - 176)/(5.056/(sqrt(13))) Dara overline X = 170 172.7 176 178 x^ * =+ 76 + (- 2.326) * 5.056/(sqrt(13)) = X = 172.7 Dara deesin's fall in rejecnon ( - o * a_{3}(72, 7) alpha = 13 Conclusion Becaux & does not fall in the rejection igion (-00, 172.7) we cannot refoet Ho. 2 Problem is actually Try 10 uncnourn esnimare it from your data. when pop is Normal Ux 3- sample variance. Magic Χμ d of χμ hos Student t-distribucion with n-1/ckgrees of freedom. 4n * 30 massable from some Beromer 012208 Haur Baits Dara 178 @Μο μ=176 Η μ>176. S5.056 Signit level ly, one sided sest Assume Dist of pop. is Normal t-spore has + Dill win n-1dgrees of firadom. In our example 7-176 5.056 ~t-Dist, with 12 Degreas Given (Killer) and x freedom. -Dist n-12. Rijection region: [2.684,00] t001-2.681. Non-Mandard: 2.681 = -176 5056 176450562.681 179.8 父今179.8. Cannor reject Ho Let's use 2-score instead 20.0 2.326. Rejoct Null + 178. 179.8 Standard normal 176+5.056 2.326 179.26 VS 179.8. 13 Z-score is greater Degreeset fredom #ohsurations-1 approximate with se in becomes laye (12730) Dassumes O=5"

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