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

Statistics
Tutor: None Selected Time limit: 1 Day

Jun 23rd, 2015

Thank you for the opportunity to help you with your question!

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.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 23rd, 2015

Hi, thank you for your help. What does Pearson Correlation mean?

Jun 23rd, 2015

Hi, thank you for your help. What does Pearson Correlation mean?

Jun 23rd, 2015

In case of any clarification kindly let me know.

Thank you.

Jun 23rd, 2015

I have two more questions that you could help me on. Break it down just like you did just now as well with some work showing? 

Jun 23rd, 2015

Pearson correlation measures the relationship between two variable. For this case it indicates that there exists a strong positive relationship between the two variables. However, this should not worry since the data is paired  and we are not interested in the relationship of the two.


Jun 23rd, 2015

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Jun 23rd, 2015
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Jun 23rd, 2015
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