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NARRBEGIN: GMAT Scores
GMAT Scores
a Recent College Graduate Is

Question 145

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NARRBEGIN: GMAT Scores
GMAT Scores
A recent college graduate is in the process of deciding which one of three graduate schools he should apply to. He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT) scores of those who are accepted into the school. A random sample of six students in each school produced the following GMAT scores. Assume that the data are normally distributed with equal variances for each school.  GMAT Scores  School 1  School 2  School 3 650105590620550510630700520580630500710600490690650530\begin{array}{l}\text { GMAT Scores }\\\begin{array} { c c c } \hline \text { School 1 } & \text { School 2 } & \text { School 3 } \\\hline 650 & 105 & 590 \\620 & 550 & 510 \\630 & 700 & 520 \\580 & 630 & 500 \\710 & 600 & 490 \\690 & 650 & 530 \\\hline\end{array}\end{array} NARREND
-In a completely randomized design, 12 experimental units were assigned to the first treatment, 15 units to the second treatment, and 18 units to the third treatment. A partial ANOVA table is shown below:
 Source of Variation SSdfMSF Treatments 9 Error 35 Total \begin{array} { | l | c c c c | } \hline \text { Source of Variation } & \mathbf { SS} & \boldsymbol { df } & \mathbf { M S } & \boldsymbol { F } \\\hline \text { Treatments } & * & * & * & 9 \\\text { Error } & * & * & 35 & \\\hline \text { Total } & * & * & & \\\hline\end{array}
a.Fill in the blanks (identified by asterisks) in the above ANOVA table.
b.Test at the 5% significance level to determine if differences exist among the three treatment means.

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