Two stats Questions Really need help.

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Jun 23rd, 2015

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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.

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Jun 23rd, 2015

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