A company wanted to know if attending a course on "how to be a successful salesperson" can increase.

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Mathematics

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H0 : mean after the course is equal to the mean before the course

H1 : Mean after course is greater than the mean before the course

since the data is collected from the same group of salespeople we use a paired t-test for the means.

using excel the following results were obtained

t-Test: Paired Two Sample for Means
   
Column1 before after
Mean 15.6 17.8
Variance 10.3 20.7
Observations 5 5
Pearson Correlation 0.849215476
Hypothesized Mean Difference 0
df 4
t Stat -1.97565832
P(T<=t) one-tail 0.059696702
t Critical one-tail 2.131846786
P(T<=t) two-tail 0.119393404
t Critical two-tail 2.776445105
our test is one tailed hence since P-value is greater than 0.05 at one-tailed level of significance we do not reject the null hypothesis and conclude that the mean weekly sales  does not increase as a result of attending the course.

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