Assignment_Solution_Chp._15

Assignment_Solution_Chp._15 - 1 Chapter 15 – Solutions...

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Unformatted text preview: 1 Chapter 15 – Solutions 15.11. A soft drink distributor is studying the effectiveness of delivery methods. Three different types of hand trucks have been developed, and an experiment is performed in the company’s methods engineering laboratory. The variable of interest is the delivery time in minutes ( y ); however, delivery time is also strongly related to the case volume delivered ( x ). Each hand truck is used four times and the data that follow are obtained. Analyze the data and draw the appropriate conclusions. Use α =0.05. Hand Truck Type 1 1 2 2 3 3 y x y x y x 27 24 25 26 40 38 44 40 35 32 22 26 33 35 46 42 53 50 41 40 26 25 18 20 From the analysis, hand truck does not have a statistically significant effect on delivery time. Volume, as expected, does have a significant effect. General Linear Model: Time versus Truck Factor Type Levels Values Truck fixed 3 1 2 3 Analysis of Variance for Time, using Adjusted SS for Tests Source DF Seq SS Adj SS Adj MS F P Volume 1 1232.07 1217.55 1217.55 232.20 0.000 Truck 2 11.65 11.65 5.82 1.11 0.375 Error 8 41.95 41.95 5.24 Total 11 1285.67 Term Coef SE Coef T P Constant -4.747 2.638 -1.80 0.110 Volume 1.17326 0.07699 15.24 0.000 15.12. Compute the adjusted treatment means and the standard errors of the adjusted treatment means for the data in Problem 15.11. adj ( ) .. . i . i . i x x ˆ y y-- = β adj ( ) 39 34 12 398 4 139 173 1 4 145 1 . . y . = -- = adj ( ) 25 35 12 398 4 125 173 1 4 132 2 . . y . = -- = adj ( ) 86 32 12 398 4 134 173 1 4 133 3 . . y ....
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This note was uploaded on 01/16/2011 for the course STAT 430 taught by Professor Stefansteiner during the Fall '03 term at Waterloo.

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Assignment_Solution_Chp._15 - 1 Chapter 15 – Solutions...

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