Sample_Exam2_Key - significance. 3. a. H : p = 0.44, H a :...

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MGMT 305 Spring 2007 Sample Exam 2 Solution Key Part I: D D B D D D E D D C C B A B A B B Part II: 1. (a) H 0 : μ ≤ 160 H a : μ > 160 4 . 2 16 25 160 175 0 = - = - = n s x t μ (b) 0.01 < p-value < 0.025, since p-value = P(t > 2.4). (c) Reject H 0 since t = 2.4 > t .05 = 1.753. At 5% level of significance, conclude that the average amount of withdrawals per customer transaction has increased recently. (d) Do not reject H 0 since t = 2.4 < t .01 = 2.602. At 1% level of significance, conclude that the average amount of withdrawals per customer transaction did not increase recently.
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(e) 95% Confidence Interval for μ: 175 ± (2.131)(25/√16) = 175 ± 13.32 = (161.68, 188.32). 2. a. H 0 : μ 1 - μ 2 = 0 H a : μ 1 - μ 2 0 b. 2 1 x x - = 76 – 71.625 = 4.375 c. 55 . 48 2 8 8 1 . 49 ) 1 8 ( 48 ) 1 8 ( 2 n n s ) 1 n ( s ) 1 n ( s 2 1 2 2 2 2 1 1 2 = - + - + - = - + - + - = 484 . 3 ) 8 1 8 1 ( 55 . 48 ) n 1 n 1 ( s s 2 1 2 x x 2 1 = + = + = - ( 29 1 2 1 2 0 4.375 1.2557 3.484 x x x x t s - - - = = = d. ) 747 . 14 , 997 . 5 ( 372 . 10 375 . 4 484 . 3 977 . 2 375 . 4 s t x x 2 1 x x 2 / 2 1 - = ± = × ± = ± - - α e. Since “0” is within the 99% confidence interval, do not reject H 0 . Conclude that the average scores of male and female members are not different at 1% level of
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Unformatted text preview: significance. 3. a. H : p = 0.44, H a : p 0.44 b. p = 205/500 = 0.41 z = (0.41-0.44)/sqrt{p *(1-p )/n} =-1.35 p-value = 2*(0.5-0.4115) = 0.177 Since 0.177 &gt; 0.05, we do not reject the null hypothesis. c. Since 0.177&gt;0.01, we do not reject the null hypothesis. 4. (a) Define d as the difference before and after the instruction, (i.e. d = Posttest-Pretest ) = [2+0+6+(-2)+3]/5 = 1.8 (b) s d = = = 3.0332 t /2,n-1 = 1.8 t 0.025,4 = 1.8 2.776 = 1.8 3.7655= (-1.9655, 5.5655) (c) H : d 0 H a : d &gt; 0 t = = = 1.327 At =0.05, critical value is t 0.05,4 = 2.132. Conclusion: Do not reject H because t = 1.327 &lt; 2.132. The instruction is not effective at =0.05....
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This note was uploaded on 06/29/2008 for the course MGMT 305 taught by Professor Priya during the Spring '08 term at Purdue University-West Lafayette.

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Sample_Exam2_Key - significance. 3. a. H : p = 0.44, H a :...

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