Quiz+_23 - MGT 2250 — Quiz #23 2 Sides Answers : 1)...

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Unformatted text preview: MGT 2250 — Quiz #23 2 Sides Answers : 1) Management at a magazine designed for young adult readers had been operating under the assumption that the average age of its readers is 28 years old. Some newer members of the management team believe that average age of the readers is actually younger than 28. They proposed that a study he conducted to test if they are correct in this belief. A sample of n=100 readers was polled as to their age. The standard deviation of the population was assumed to be 5 years. a) Formulate the null and alternative hypotheses for this proposed study. {A W, Mae 1/ 3:25 [fr/a, Hat/1,}: 4 .95 g I b) At alpha = 0.05, what is the probability of making a Type II error if the true population mean is 26 Years? What is the power of the test? See following sheets c) At alpha = 0.05, what is the probability of making a Type II error if the true population mean is 27 Years? What is the power of the test? See following sheets d) At alpha = 0.05, what is the probability of making a Type 11 error if the true population mean is 27.5 Years? What is the power of the test? See following sheets X] I]. I 1/ ’5’ if” e) If management were willing to accept a beta = .05 at alpha = .05, what size “n” would be needed if the true population age was 26? 7/; L '5: .3 x“ ’10:; a? V ,flzz\ Mfr“ \‘ ' f1 f"; 9"“? \ V/grgi/ :1 \f! 3 f) If management required a beta = .01 at alpha = .05, what'size '7 r 7‘ “11” would be needed if the true population age was 26? 1’ m N/7 zX , (‘L {L “L g M g N Wm M..- w - r WWW up“ / r ,/“ a 1"“? if (K? V .... W M 7% \ ix“? '. "x \ \ n «I \ $5“ . ' v? i' fr k (,1 r L [a / C A (“W fl \ “‘ 1i iii/fag? / ‘ ,f V. l: \\ . / / ize ‘ ' ’ g) If management required a beta = .01 at alpha = .05, what s “11” would be needed if the true population age was 27? A, f. _ s . 2...? I? W “Z” , ,/ /; Mfg W23} £73 j) / L k lflifl i warw'mnfiw w "fl yfi K g 7 V / "’" N :1; Z} e x ' L J.-- w’ y F V .«v—mw- “3 fl, I? {a l a! 17‘ V? . h) If management wanted to maintain a beta = .01 and alpha = .01, what size “11” would be needed if the true population age was 26? / - a \ 2; / WA / F I z“ a j {A “r E3 35.x} LB J / r F“ r “‘7 rm 62:” LfQZE’B 57"” «j! I", 1/; V [K gnaw“ ‘ 1K; / ...
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This note was uploaded on 02/05/2012 for the course MGT 2250 taught by Professor Milne during the Summer '08 term at Georgia Institute of Technology.

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Quiz+_23 - MGT 2250 — Quiz #23 2 Sides Answers : 1)...

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