Question

The Chronicle of Higher Education conducted a study and determined the average length of time for a student to complete an Associate’s degree is 3.2 years. The Rio Salado leadership team wants to determine if students there have a longer than average time to Associate’s degree completion. If they determine the length of time is greater than the finding in the Chronicle of Higher Education, they will invest in increasing resources aimed at reducing the time to degree completion.

What would a Type 1 error mean in this context?

A. We conclude that there is not enough evidence to support the assertion that Rio students take longer than 3.2 years to complete their Associate’s degree and fail to reject the null hypothesis, when in reality they do take longer than 3.2 years to complete their Associate’s degree. (False negative.)

B. We conclude that there is enough evidence to reject the null hypothesis and support the assertion that Rio students

take longer than 3.2 years to complete their Associate’s degree, when in reality they take less than 3.2 years to complete their Associate’s degree. (False positive.)

Answer 1

we know that type I error the is the rejection of a true null hypothesis

In this case, we have to test whether the students at Rio Salado have a longer than average time to Associate’s degree completion

So, it is a right tailed hypothesis

Null hypothesis:- students at Rio Salado have equal average time to Associate’s degree completion

Type I error in this case would be the rejection of the statement that the students at Rio Salado have equal average time to Associate’s degree completion, when in fact, students at Rio Salado have equal average time to Associate’s degree completion

option B is correct