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

since the data uses two different populations we use t-test assuming that the population standard deviation are equal and unknown.

The excel results are as shown below:

t-Test: Two-Sample Assuming
Equal Variances

Column1

Column2

method 1

method2

Mean

17

21.8

Variance

21.5

43.2

Observations

5

5

Pooled
Variance

32.35

Hypothesized Mean Difference

0

df

8

t Stat

-1.3343633

P(T<=t)
one-tail

0.10940783

t Critical one-tail

1.85954804

P(T<=t)
two-tail

0.21881567

t Critical two-tail

2.30600414

From the results the test statistic is negative which indicates that method 1 results are less compared to method 2 results. Since the test is one-tailed we consider P-value at one-tail. The P-value is more compared to a 0.05 level of significance. Therefore, we do not reject the null hypothesis hence we cannot conclude that the mean time is significantly after training with method 1 than training with method 2.Please let me know if you need any clarification. I'm always happy to answer your questions.

Jun 23rd, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!