1. Compare the variances of the two samples. Is there a significant difference?

Question

1. Compare the variances of the two samples. Is there a significant difference?

2. Why does the P value say “one-tail”? What are we really testing here?

3. What is the level of risk involved in this test?

4. What does the P value indicate?

5. What does it say about the difference in study hours between female and male students?

Table: Study hours of 6 female and 5 male students F-Test Two-Sample for Variances Female Male 26 25 30 Female Male 24.8 43 18 Mean 33 160 21.7 34 25 Variance 6 5 18 28 Observations F 7.373271889 P f one-tail 0.037888376 F Critical one-tail 6.256056502

Explanation / Answer

1. H0: There is no significance difference between the variance of two populations

H1:  There is significance difference between the variance of two populations

Let the los be alpha = 5%

Here P-value < alpha (0.05), So we reject H0

Thus we conclude that there is significance difference between the variance of two populations

2. Here P-value is not say one tailed test. It is two-tail test since there is significance difference between the variance of two populations

Given P - value is related to left tail test

So we conclude that the variance of female population is less than that of male population

3. The level of significance be alpha = 5% = 0.05

4. A small p-value (typically 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

5. It say about the difference in study hours between female and male students means that the variance of female population is less than that of male population

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