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# Test2Solutions - Math 350 w Test 2 — Chapters 7& 10...

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Unformatted text preview: Math 350 w Test 2 — Chapters 7 & 10 Printed Name: Calculators are allowed on this test...neighbors are not! Round answers (where appropriate) to 4 places after the decimal. of 100 A soil scientist is interested in studying the pH level in the soil for a certain ﬁeld. In particular, she is going to examine a random sample of soil samples and measure their pH levels to assess if the mean ﬁeld pH level is neutral (that is, equal to 7) versus the alternative hypothesis that the mean pH level is acidic (that is, less than 7). She observed the following pH levels in the sample: 5.8, 6.3, 6.9, 6.2, 5.5. Test these hypotheses using a signiﬁcance level of 5%. State the Hypotheses. n . . n . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . c . . . . - . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . . . - o . c u . . . . . . . . . . . . . . . . . . . . . . . u - - - . . . - - . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . c c . u . . . . . . . . . . . c . . .. Calculate the test statistic (round to 3 places after the decimal) and the p-Value. _. t.— " ‘ vf-A TEST STATISTIC ‘6.|"l MW”) :Lﬁ'iw: -3.6Hq (341:) (o‘ sue/s“) ~ 3.5m '7 n: S P‘Valwg': Tow—W; 3.6MJ ‘1) : O‘oH'L FAIL TO REJECT Ho Decision ACCEPT Ho . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . . . . . - . - . . . . - . . . . . . . . . . . . . . . . . . . . . . . u - . . . . . . . . . . . . . . . . . . . . . . . . . . - . u . . . . . . . . . . . . . . . . . . . . . . . u . Conclusion. Gpﬂ 54-3 NEW (QT-(ll 9"{ lUJ (Lian r, . Dr. Emmett Summer 2011 I of IV Points Earned I: of 24 Math 350 — Test 2 —- Chapters 7 & 10 '2: Patients with glaucoma, an eye disease that is manifested by high intraocular pressure (IOP) and can cause blindness, are on a regimen of two medications, A and B. The purpose of the study was to determine whether the patients can change to medication C without much change in their intraocular pressure (IOP). Patients took drugs A and B for 60 days, and then had their IOP measured. They were then swapped to drug C for 60 days and had their IOP measured. The results of the study are shown below. Test the hypothesis that the mean difference is zero with signiﬁcance level of a = 0.05. , , (6210 ( 0.5 ~ 0) _ TEST STATISTIC - . : : W — .505 IX 0 S (Mfr?) (3,!166l/JI0) O A? 050\$? 32 3-126i m; to PM“; 2.x 1'be (00505!) E93, ‘7) . . . . . . . . . . . . . . . . . . . o . . u . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . - . . . - u . . . . . . . . . . . . . . c - o - u . . . . . . . . . . REJECT Ho Decision FAIL TO REJECT Ho ACCEPT Ho - . . . . . . . . . . . . . . . . . . . u . . . . . . . . . . . . . . . . . . . . . . o . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . - . . - - . . . . . . . . . . . . . . . . . . u - . . . . . . Conclusion. TEA U th/f-‘(mi €V:CJ§A\(£ l‘u Juyjéli Harm cluﬁﬁfaw r. TO? U Mn‘Zew. Points Earned :i of 24 II of IV Dr. Emmert Summer 2011 Math 350 —- Test 2 — Chapters 7 & 10 [:3 People are often classiﬁed as right—handed or left—handed. People can also be classiﬁed as right-eyed or left— eyed, in the sense that either the right or the left eye will be dominant. Eye dominance can be assessed by ﬁrst focusing on an object across the room with both eyes looking through a small opening (e.g. use your two hands to form a small circle to look through). Then close one eye at a. time, when the object appears to move (out of the circle) then the eye that is closed is your dominant eye. How is hand dominance related to eye dominance? Or are these two traits independent? Use a signiﬁcance level of l%. State the Hypotheses Hoil'lﬁkﬂ Jammw :3 N01 HARM 40 9% Olmmhtmd . Pekile 4P 9% dmnxhqmw. (it Indapanﬂmi) (lg DQPRJI/Kl) Finish the table shown below, ﬁlling in the expected counts under H0. Right Hand Left Hand Total H1: Hmi clamwmw 1J mm) m” {0: (a) 35 8 Calculate the test statistic (round to 3 places after the decimal) and the p-Value, 1 L 1—- : (ff—9}: .. ( '7'53 ’12)}; ( ‘2') +(U’ﬂ’7-l3) 4‘ (3, 53~ 6))” _ TEST STATISTIC ' E ' as: ‘t. '1"! 'T {41' ‘35; I P‘Vlalwg; fxlcm?( .3 0‘ 0512559... . . . . . . . . . . . . . . . . . . . . . . . - - . - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . u . . . . . . . . . . . . . . . . . . . - . - - . . . . . . . . . . REJECT Ho Decision FAIL TO REJECT Ho ACCEPT Ho . . . . . . . . . . . . . . . . . . . . . . . - . . u . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . - . u . . . . . . . . . . . . . . . . . . . o . . u . . . . . . . . . . . . . . . . - Conclusion. ' ﬂ 6-wa ilmi MB MD ﬁlaticnley lwiweeh howl it 0(0wa il‘C‘fﬂ-Q-J lo LL cm Noam/Q“) Fqu‘EMnJLP Dr. Emmert Summer 2011 III of IV Points Earned I: of 24 Math 350 — Test 2 — Chapters 7 Sc 10 [:¢:' According to a. professor of genetics, a crossing of red and white peas should produce oﬂspring that are 25% red, 50% pink, and 25% white. The experiment produced the following results in 144 crossingsJ a: .-. 5 76. State the Hypotheses Hozﬁ: 0.1L {1:0,SJWS H1: Al («lawn f], a“ Manley/Q aJ Vii/Ml: . . . . . u . . . . . . . . . . . . . . u . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . . - . . . . . . . - . . . . . . . . . . - . . . . . - . . . . . o . . . . . . . . . . . . . . . - - n . o . . . . . . . . . . . . . - . . Finish the table shown below, ﬁlling in the expected counts under H0. 0. u (ml 2 36 0.5‘ (m) = '12. u . . - . u . . . . . . . . . . . . - . . . . . u q . . . . . . . . . . . . . . . u . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - - . . . . . . . . . . . . . . . . - . . . . . . Calculate the test statistic (round to 3 places after the decimal) and the p—Value. I L 1 x1.- zi—L‘ 3‘: (2%? +93%‘91 + (“g”): 3315 (“lsle Yew 3.3'15) E9193 :2 o. u3t10,5>,3r,7c,__. . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . - - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . - . REJECT Ho Decision o<= 6 ‘ OS FAIL TO REJECT Ho ACCEPT Ho . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . u . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - - . . . . . . . . . . . . . . . . . . Conclusionm U Nh/¥JC‘QA+ Wig/gum ED JHWJ‘ tam-law ark Points Earned _ of 28 IV of IV Dr. Emmett Summer 2011 Here are some useful formulas. Var(X) = a} = (O — E)2 _ M S B _ Variation BETWEEN the Sample Means E ‘ MSW _ Natural Variation WITHIN the Samples all cells T = “(Z aviz/i) — (Ext-X23211) v [ME 16?) — (2 WWW: y?) — (2 3102] b: “(2931-2) — (216W ...
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## This note was uploaded on 01/13/2012 for the course MATH 350 taught by Professor Keithemmert during the Summer '11 term at Tarleton.

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Test2Solutions - Math 350 w Test 2 — Chapters 7& 10...

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