Management training programs are often instituted ...

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Managementtrainingprogramsareofteninstituted.xlsx

Sheet1

Before After d = After - Before
63 78 15
93 92 -1
84 91 7
72 80 8
65 69 4
72 85 13
91 99 8
84 82 -2
71 81 10
80 87 7
d-bar = 6.9
s = 5.4252496102
Data:
n = n1 = n2 = 10
d-bar = 6.9
s (of d) = 5.4252496102
Hypotheses:
Ho: d-bar ≤ 0
Ha: d-bar > 0
Decision Rule:
α = 0.01
Degrees of freedom = 10 - 1 = 9
Critical t- score = 2.8214379214
Reject Ho if t > 2.8214379214
Test Statistic:
SE = s/Ön = 5.425249610233/√10 = 1.7156145643
t = d-bar/SE = 6.9/1.7156145643277 = 4.0218823875
p- value = 0.0015047595
Decision (in terms of the hypotheses):
Since 4.0218823875 > 2.8214379214 we reject Ho and accept Ha
Conclusion (in terms of the problem):
There is sufficient evidence that the training program Is effective.