Question

The average age of students at the University of Houston – Downtown is about 28 years old. The president of the university believes that the age of full-time students attending classes during the day is lower that the average of all students. Test this hypothesis. Be sure to show all five steps. Show your work on your Excel file ONCE per group with all the names of your team members included.

Answer 1

Here claim is that the age of full-time students attending classes during the day is lower that the average of all students.

So hypothesis is vs

Now as more information is not provided, we will put formulas to test the hypothesis

if n<30, we will use t distribution and if n>30 and population standard deviation (or population standard deviation) is known we will use z distribution

test statistics for t or z is

or

Based on alternative hypothesis we will find P value of the test statistics

If P value is less than (which again is not mentioned here) we will reject the null hypothesis or else we will fail to reject the null hypothesis