Consider the following situation. A completely randomized design was used to assess the effects of a treatment (say A) on the yield (say Y) of a particular process. Treatment A had three levels (say A1, A2, and A3) and the design was unbalanced in that the sample sizes for each treatment level were n₁ = 4, n2 = 5, n3 = 6 respectively. The data was analyzed using R and produced the following statistics: SSbetween = 2032.20, MSwithin = 74.76, Y₁ = 94.5, Y2 = 105.2, Y3 = 122.7. a. Fill in the blanks for the incomplete ANOVA table. What is the corresponding F-statistic and p-value for testing the alternative hypothesis that the means of the three treatments are not all equal? Mean square (MS) F-statistic p-value Between Within Total Sum-of-squares (SS) Degrees of freedom 2032.20 74.76

Consider the following situation. A completely randomized design was used to assess the effects of a treatment (say A) on the yield (say Y) of a particular process. Treatment A had three levels (say A1, A2, and A3) and the design was unbalanced in that the sample sizes for each treatment level were n₁ = 4, n2 = 5, n3 = 6 respectively. The data was analyzed using R and produced the following statistics: SSbetween = 2032.20, MSwithin = 74.76, Y₁ = 94.5, Y2 = 105.2, Y3 = 122.7. a. Fill in the blanks for the incomplete ANOVA table. What is the corresponding F-statistic and p-value for testing the alternative hypothesis that the means of the three treatments are not all equal? Mean square (MS) F-statistic p-value Between Within Total Sum-of-squares (SS) Degrees of freedom 2032.20 74.76

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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