1. In a completely randomized experimental design, 18 experimental units were used for the first treatment, 10 experimental units for the second treatment, and 15 experimental units for the third treatment. Part of the ANOVA table for this experiment is shown below. Degrees of Mean Square _? 6 Sum of Source of Variation Between Treatments Within Treatments (Error) Total Squares Freedom F 3.0 a. Fill in all the blanks in the above ANOVA table. b. Ata 5% level of significance, test to see if there is a significant difference among the means. 2. Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students from each university. University A University B University C 89 95 75 -92 99 77 60 95 81 70 89 90 80 78 66 At a = 0.01, test to see if there is any significant difference in the average scores of the students from th three universities. (Note that the sample sizes are not equal.)

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1. In a completely randomized experimental design, 18 experimental units were used for the first
treatment, 10 experimental units for the second treatment, and 15 experimental units for the third
treatment. Part of the ANOVA table for this experiment is shown below.
Degrees of Mean
Square
?
Sum of
Source of Variation
F
Squares
?
?
Freedom
Between Treatments
Within Treatments (Error)
3.0
Total
a. Fill in all the blanks in the above ANOVA table.
b. At a 5% level of significance, test to see if there is a significant difference among the means.
2. Three universities administer the same comprehensive examination to the recipients of MS degrees in
psychology. From each institution, a random sample of MS recipients was selected, and these recipients
were then given the exam. The following table shows the scores of the students from each university.
University A University B University C
89
95
60
81
70
95
75
92
89
80
90
78
99
66
77
At a = 0.01, test to see if there is any significant difference in the average scores of the students from the
three universities. (Note that the sample sizes are not equal.)
Transcribed Image Text:1. In a completely randomized experimental design, 18 experimental units were used for the first treatment, 10 experimental units for the second treatment, and 15 experimental units for the third treatment. Part of the ANOVA table for this experiment is shown below. Degrees of Mean Square ? Sum of Source of Variation F Squares ? ? Freedom Between Treatments Within Treatments (Error) 3.0 Total a. Fill in all the blanks in the above ANOVA table. b. At a 5% level of significance, test to see if there is a significant difference among the means. 2. Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students from each university. University A University B University C 89 95 60 81 70 95 75 92 89 80 90 78 99 66 77 At a = 0.01, test to see if there is any significant difference in the average scores of the students from the three universities. (Note that the sample sizes are not equal.)
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