2) The data in the following table represent cohorts of students successfully pl

Question

2) The data in the following table represent cohorts of students successfully placed in a job within 6 weeks of graduation from UTD, across various EPPS degrce programs. An institutional rescarcher wants to know if the mean number of placements are equal by program. [8 points total) (Chapter 13.1) Nine Cohorts of Students Assessed 32 31 36 35 41 34 39 37 38 momic -10,611 Economics Public AfTairs Motor-25.444 Political Science 34 37 24 23 32 33 27 34 30 341 37,31 27 40:33. 37 42 391 : Political Science 23.278 a) Compute the ANOVA (alpha 0.05) and detcrmine whether the graduation rates are in fact equal. Please show your F-statistic, your critical F-valuc, your decision on the null, and interpret what the decision means in words. [5 points] b) Fill in the blanks on the Stata output [3 points] (Lecture notes, Chapter 13.1): Number of obs - Root MS2 27 R-squared0.2389 - 4.41722Adj -squazed- 0.1754 MS Source Partial 33 Model 148.96296 148.96296 Residual 474.66667 Total |623.62963 df E Pro>E 0.0378 degree 0.0378 26 23.985755

Explanation / Answer

a)

p-value < 0.05

we reject the null hypothesis

b)

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 148.962963 2 74.48148148 3.7659176 0.037805 3.402826 Within Groups 474.6666667 24 19.77777778 Total 623.6296296 26

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