ch11 SOLUTION.doc

# ch11 SOLUTION.doc - Chapter 11 Analysis of Variance and...

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Chapter 11: Analysis of Variance and Design of Experiments 1 Chapter 11 Analysis of Variance and Design of Experiments SOLUTIONS TO PROBLEMS IN CHAPTER 11 11.5 Source df SS MS F Treatment 2 22.20 11.10 11.07 Error 14 14.03 1.00 Total 16 36.24 = .05 Critical F .05,2,14 = 3.74 Since the observed F = 11.07 > F .05,2,14 = 3.74, the decision is to reject the null hypothesis . 11.6 Source df SS MS F Treatment 4 93.77 23.44 15.82 Error 18 26.67 1.48 Total 22 120.43 = .01 Critical F .01,4,18 = 4.58 Since the observed F = 15.82 > F .01,4,18 = 4.58, the decision is to reject the null hypothesis . 11.7 Source df SS MS F Treatment 3 544.2 181.4 13.00 Error 12 167.5 14.0 Total 15 711.8 = .01 Critical F .01,3,12 = 5.95 Since the observed F = 13.00 > F .01,3,12 = 5.95, the decision is to reject the null hypothesis . 11.8 Source df SS MS F Treatment 1 64.29 64.29 17.76 Error 12 43.43 3.62 Total 13 107.71 = .05 Critical F . 05,1,12 = 4.75 Since the observed F = 17.76 > F .05,1,12 = 4.75, the decision is to reject the null hypothesis . Observed t value using t test: 1 2 n 1 = 7 n 2 = 7 x 1 = 29 x 2 = 24.71 s 1 2 = 3 s 2 2 = 4.238 t = 7 1 7 1 2 7 7 ) 6 )( 238 . 4 ( ) 6 ( 3 ) 0 ( ) 71 . 24 29 ( = 4.22 Also, t = 76 . 17 F = 4.214 11.9 Source SS df MS F Treatment 583.39 4 145.8475 7.50 Error 972.18 50 19.4436 Total 1,555.57 54 11.10 Source SS

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• Summer '18
• Keyur Popat
• Null hypothesis, Statistical hypothesis testing, 61.47 hours

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