accompanying data collected for a two-way ANOVA. e icon to view the data table #

Question

accompanying data collected for a two-way ANOVA. e icon to view the data table #0025, is there significr 0.025, are the Factor -0.025, are the Factor Data Table 0.025, is there significa e hypotheses for the intera Factor A FactorB Level 1 Level 2 Level 3 o:Factor A and B do intorad Level 1 7 Ho:Factor A and B do not int Level 2 he p-value for the interaction b Level 3 40 value 493 (Round to three the appropriate conclusion for A Do not reject the null hypothe B. Reject the null hypothesis C. Do not reject the naul hypothesis There is insuficient evisence to concude that tho moans difer ck to select your answers). Print Done Ch06-DOCUMENTS TIPS 54f1 a9b1af9f13428b49ed html MacBook Air 0 888, 4 3

Explanation / Answer

a)
   B)
   p-value = 0.71289
   A)

b) A)
   p-value = 0.0000378
   C)

c) B)
    p-value = 0.036334
    B)

Anova: Two-Factor With Replication SUMMARY A B C Total level 1 Count 3 3 3 9 Sum 26 41 61 128 Average 8.666666667 13.666667 20.33333333 14.22222222 Variance 22.33333333 30.333333 105.3333333 65.19444444 level 2 Count 3 3 3 9 Sum 53 71 94 218 Average 17.66666667 23.666667 31.33333333 24.22222222 Variance 74.33333333 54.333333 41.33333333 77.69444444 level 3 Count 3 3 3 9 Sum 97 111 107 315 Average 32.33333333 37 35.66666667 35 Variance 74.33333333 48 12.33333333 38 Total Count 9 9 9 Sum 176 223 262 Average 19.55555556 24.777778 29.11111111 Variance 149.7777778 135.94444 86.61111111 ANOVA Source of Variation SS df MS F P-value Sample 1943.62963 2 971.8148148 18.90417867 3.77711E-05 Columns 412.0740741 2 206.037037 4.007925072 0.03633376 Interaction 109.7037037 4 27.42592593 0.533501441 0.712829479 Within 925.3333333 18 51.40740741 Total 3390.740741 26

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