U wants to invest in new teaching technologies to help with the transition to online classes. They have decided to pilot test online tutoring services to see if it will affect academic achievement and test scores. To test the new online tutoring services, they have selected a sample of 25 students at random from statistics course to include in the pilot test. They have asked us to compare the results of a random sample of IU students who have experienced the new teaching technology to the university statistics course student population in test scores. The information you will need to conduct the appropriate statistics for the university is provided below.

N = 25, X = 78.2, = 75, X = 9

What is the appropriate statistical test for this study (z-test/t-test)?

What is the standard/estimated standard error of the mean? Round to two decimal points.

What is the z_obt/t_obt? Round to two decimal places.

If our criteria for this test is two tailed test with = .05, then what would we say is the result of our analysis (specifically referring to the null hypothesis)?