In comparing the academic performance of college students who are affiliated with fraternities and those male students who are unaffiliated, a random sample of students was drawn from each of the two populations on a university campus. Summary statistics on the student GWAs are given below. n x s Fraternity 645 2.90 0.47 Unaffiliated 450 2.88 0.42 Test, at the 1% level of significance, whether the data provide sufficient evidence to conclude that there is a difference in average GWA between the population of fraternity students and the population of unaffiliated male students on this university campus. 1. State the hypotheses. 2. Give the critical value and region of rejection. 3. Compute for the standard error of the difference between two means. 4. Compute for the test statistic. Give the probability of the calculated test statistic. 5. Interpret result using both p-value and critical region of rejection. 6. State your conclusion. 7. Construct the 95% confidence interval of the difference between the two means.
In comparing the academic performance of college students who are affiliated with fraternities and those male students who are unaffiliated, a random sample of students was drawn from each of the two populations on a university campus. Summary statistics on the student GWAs are given below.
|
|
n |
x |
s |
|
Fraternity |
645 |
2.90 |
0.47 |
|
Unaffiliated |
450 |
2.88 |
0.42 |
Test, at the 1% level of significance, whether the data provide sufficient evidence to conclude that there is a difference in average GWA between the population of fraternity students and the population of unaffiliated male students on this university campus.
1. State the hypotheses.
2. Give the critical value and region of rejection.
3. Compute for the standard error of the difference between two means.
4. Compute for the test statistic. Give the probability of the calculated test statistic.
5. Interpret result using both p-value and critical region of rejection.
6. State your conclusion.
7. Construct the 95% confidence interval of the difference between the two means.
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