Statistics Homework Solutions 220

Statistics Homework Solutions 220 - 71.864 0.84193 0.622...

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220 CHAPTER 9 of freedom for the numerator of an F statistic is the number of degrees of freedom for its effect, and the number of degrees of freedom for the denominator is the number of degrees of freedom for error. P -values may be obtained from the F table, or from a computer software package. Source DF SS MS F P Concentration 2 756.7 378.35 5.0185 0.015 Block 3 504.7 168.23 2.2315 0.110 Interaction 6 415.3 69.217 0.91809 0.499 Error 24 1809.4 75.392 Total 35 3486.1 (b) Yes. The P -value for interactions is large (0.499). (c) Yes. The P -value for concentration is small (0.015). 5. (a) Source DF SS MS F P Variety 9 339032 37670 2.5677 0.018 Block 5 1860838 372168 25.367 0.000 Error 45 660198 14671 Total 59 2860069 (b) Yes, F 9 45 2 5677, P 0 018. 7. (a) Source DF SS MS F P Waterworks 3 1253.5 417.84 4.8953 0.005 Block 14 1006.1
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Unformatted text preview: 71.864 0.84193 0.622 Error 42 3585.0 85.356 Total 59 5844.6 (b) Yes, F 3 42 4 8953, P 005. (c) To determine which effects differ at the 5% level, we should use q 4 42 05 . This value is not found in Table A.8, so we approximate it with q 4 40 05 3 79. The 5% critical value is 3 79 85 356 15 9 04. The sample means are X A 34 000, X B 22 933, X C 24 800, X D 31 467. We can conclude that A differs from both B and C. (d) The P-value for the blocking factor is large (0.622), suggesting that the blocking factor (time) has only a small effect on the outcome. It might therefore be reasonable to ignore the blocking factor and perform a one-way ANOVA....
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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