Question

As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 49 full-time and 36 part-time students to test this. Answer A-F.

Answer 1

To test whether the average age of full-time students is less than the average age of part-time students, you can use a hypothesis test.

Step-by-step explanation:

To test whether the average age of full-time students is less than the average age of part-time students, you can use a hypothesis test. In this case, you would set up a null hypothesis that states the average age of full-time students is equal to or greater than the average age of part-time students, and an alternative hypothesis that states the average age of full-time students is less than the average age of part-time students.

You can then calculated the test statistic and compare it to the critical value from the t-distribution to determine whether to reject or fail to reject the null hypothesis. If the test statistic is less than the critical value, you would reject the null hypothesis and conclude that the average age of full-time students is indeed less than the average age of part-time students.

In this case, you have a sample of 49 full-time students and 36 part-time students. You can calculate the sample means and standard deviations for each group and use this information to calculate the test statistic.