Test for any significant differences due to program type, gender and interaction_ [i.e. Explain all three F-tests, including the null and alternative hypotheses corresponding to each.] What conclusions can be drawn? [a = 0.05]

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Employees of MNM Corporation are about to undergo a retraining program.
Management is trying to determine the best of three programs. They believe that
the effectiveness of the programs may be influenced by gender. To account for the
potential differences due to program, gender and interaction, a factorial
experiment was designed. Use the following data and the ANOVA output.
Program Type
Program 1
Male
Female
320
380
240
300
Program 2
160
240
180
210
Program 3
240
360
290
380
Anova: Two-Factor With Replication
ANOVA
Source of Variation
P-value
F crit
SS
df
MS
F
Program
36150
18075
12.76
0.0069
5.1433
Gender
16133
1
16133
11.39
0.0150
5.9874
Interaction
1517
2
758
0.54
0.6111
5.1433
Within (Error)
8500
6.
1417
Total
62300
11
Transcribed Image Text:Employees of MNM Corporation are about to undergo a retraining program. Management is trying to determine the best of three programs. They believe that the effectiveness of the programs may be influenced by gender. To account for the potential differences due to program, gender and interaction, a factorial experiment was designed. Use the following data and the ANOVA output. Program Type Program 1 Male Female 320 380 240 300 Program 2 160 240 180 210 Program 3 240 360 290 380 Anova: Two-Factor With Replication ANOVA Source of Variation P-value F crit SS df MS F Program 36150 18075 12.76 0.0069 5.1433 Gender 16133 1 16133 11.39 0.0150 5.9874 Interaction 1517 2 758 0.54 0.6111 5.1433 Within (Error) 8500 6. 1417 Total 62300 11
Test for any significant differences due to program type, gender and interaction.
[i.e. Explain all three F-tests, including the null and alternative hypotheses
corresponding to each.] What conclusions can be drawn? [a = 0.05]
Transcribed Image Text:Test for any significant differences due to program type, gender and interaction. [i.e. Explain all three F-tests, including the null and alternative hypotheses corresponding to each.] What conclusions can be drawn? [a = 0.05]
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