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Solution:
Here, we have to use paired t test.
The null and alternative hypotheses for this test are given as below:
H0: µd = 0 versus Ha: µd > 0
This is a right tailed test.
We take difference as after minus before.
Test statistic for paired t test is given as below:
t = (Dbar - µd)/[Sd/sqrt(n)]
From given data, we have
µd = 0
Dbar = 4.1667
Sd = 2.6394
n = 6
t = (Dbar - µd)/[Sd/sqrt(n)]
t = (4.1667 - 0)/( 2.6394/sqrt(6))
t = 3.8668
df = n – 1 = 5
α = 0.01
The p-value by using t-table is given as below:
P-value = 0.0059
P-value < α = 0.01
So, we reject the null hypothesis
There is sufficient evidence to conclude that the mean weekly sales for all salespersons increase as a result of attending this course.
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