Information regarding the starting salaries (in $1000) of samples of students in four different majors is given below.
Majors Management
Marketing
Finance
Accounting
Sample size12
10
9
14
Average26
31
22
25
Sample variance16
7
16
9
?
a.Compute the overall sample mean .b.Set up the ANOVA table for this problem including the test statistic.c.At the 5% level of significance, determine the critical value of F.d.Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.e.Determine the p-value and use it for the test.
What will be an ideal response?
a. 26?b.
Source of Variation | SS | df | MS | F |
Between Groups | 408 | 3 | 136 | 11.5 |
Within Groups | 484 | 41 | 11.8 | |
Total | 892 | 44 |
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