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Statistics Homework Solutions 225

# Statistics Homework Solutions 225 - F 6 708 3 3622 P 003...

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SUPPLEMENTARY EXERCISES FOR CHAPTER 9 225 7. The recommendation is not a good one. The engineer is trying to interpret the main effects without looking at the interactions. The small P -value for the interactions indicates that they must be taken into account. Looking at the cell means, it is clear that if design 2 is used, then the less expensive material performs just as well as the more expensive material. The best recommendation, therefore, is to use design 2 with the less expensive material. 9. (a) Source DF SS MS F P Base 3 13495 4498.3 7.5307 0.000 Instrument 2 90990 45495 76.164 0.000 Interaction 6 12050 2008.3 3.3622 0.003 Error 708 422912 597.33 Total 719 539447 (b) No, it is not appropriate because there are interactions between the row and column effects (
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Unformatted text preview: F 6 708 3 3622, P 003). 11. (a) Source DF SS MS F P Channel Type 4 1011.7 252.93 8.7139 0.001 Error 15 435.39 29.026 Total 19 1447.1 Yes. F 4 15 8 7139, P 001. (b) q 5 20 05 4 23, MSE 29 026, J 4. The 5% critical value is therefore 4 23 29 026 4 11 39. The sample means for the five channels are X 1 44 000, X 2 44 100, X 3 30 900, X 4 28 575, X 5 44 425. We can therefore conclude that channels 3 and 4 differ from channels 1, 2, and 5. 13. Source DF SS MS F P Well Type 4 5.7523 1.4381 1.5974 0.175 Error 289 260.18 0.90028 Total 293 265.93 No. F 4 289 1 5974, P 10 ( P 175)....
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