Solution-HW4

# Solution-HW4 - MGMT 305 Spring 2007 Assignment 4...

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MGMT 305 Spring 2007 Assignment 4 Solution (Chapter 10) Chapter 10 7. (12pts) a. H 0 : 1 2 0 μ - = H a : 1 2 0 - (3pts) b. ( 29 1 2 2 2 2 2 1 2 1 2 0 (40 35) 0 2.41 9 10 36 49 x x z n n σ - - - - = = = + + (4pts) p -value = 2(.5000 - .4920) = .0160 (3pts) p -value .05; reject H 0 . There is a difference between the population mean ages at the two stores. (2pts) 14. (18pts) a. n 1 = 10 n 2 = 8 1 x = 21.2 2 x = 22.8 (2pts) s 1 = 2.70 s 2 = 3.55 (4pts) 1 2 x x - = 21.2 - 22.8 = -1.6 (2pts) Kitchens are less expensive by \$1600. b. 2 2 2 2 2 1 1 2 2 1 2 ( 1) ( 1) (10 1)(2.70) (8 1)(3.55) 9.614 2 10 8 2 n s n s s n n - + - - + - = = = + - + - (4pts) Use df = 16, t .05 = 1.746 1 1 1.6 1.746 (9.614) 10 8 - + -1.6 ± 2.568 (-4.168 to 0.968) (6pts)

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17. (16pts) a.. μ 1 for 2001 season 2 for 1992 season H 0 : 1 2 0 - H a : 1 2 0 - (3pts) b. 1 2 x x - = 60 - 51 = 9 days (2pts) 9/51(100) = 17.6% increase in number of days. (1pt) c. 48 . 2 38 15 45 18 0 ) 51 60 ( 0 ) ( 2 2 2 2 2 1 2 1 2 1 = + - - = + - - = n s n s x x z (4pts) Using z table, p -value is 0.0066.
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Solution-HW4 - MGMT 305 Spring 2007 Assignment 4...

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