Question

A math department gives all college algebra students a test to test rather or not students taking college algebra on site perform better on Final than students that take class completely online. The Math department gathers random samples of 40 on-site students (Students who take class in the classroom) and 35 online students. The test score for each student in the random sample is determined. The mean score for the on-site students is 75, with a standard deviation of 12. The mean score for the online students is 72, with a standard deviation of 15.

Suppose a hypothesis test is conducted at the 5% significance level to determine if the mean score for all on-site students is higher than the mean score for all online students. Calculate the p-value associated with this hypothesis test. Round to 3 decimal places.

A math department gives all college algebra students a test to test rather or not students taking college algebra on site perform better on a test than students that take class completely online. The Math department gathers random samples of 40 on-site students (Students who take class in the classroom) and 35 online students. The test score for each student in the random sample is determined. The mean score for the on-site students is 75, with a standard deviation of 12. The mean score for the online students is 72, with a standard deviation of 15.

Suppose a hypothesis test is conducted at the 5% significance level to determine if the mean score for all on-site students is higher than the mean score for all online students. Based on the p-value, which of the following would be the best conclusion.

a. Since the p value is more than the level of significance, there is enough evidence to conclude that the average for ALL onsite students taking the test is equal to the average of all online students taking the test.

b. Since the p value is less than the level of significance, there is not enough evidence to conclude that the average for ALL onsite students taking the test is greater than the average of all online students taking the test.

c. Since the p value is more than the level of significance, there is not enough evidence to conclude that the average for ALL onsite students taking the test is greater than the average of all online students taking the test.

d. Since the p value is less than the level of significance, there is enough evidence to conclude that the average for ALL onsite students taking the test is greater than the average of all online students taking the test.

e. Since the p value is more than the level of significance, there is enough evidence to conclude that the average for ALL onsite students taking the test is greater than the average of all online students taking the test.

Answer 1