In: Statistics and Probability
You decide to study that all important question of the average height of the UTEP student body.
The answer to this question is essential to your future, so we need to study it correctly. You decide to sample 64 students. You set up the following test:
H_o: Average height ≥ 59 inches H_a: Average height < 59 inches.
1) Draw the table that shows the 4 possible scenarios of Reality vs. Experimental Outcome. What are the types of errors? Which ones can we control. Lets call that possible error ɑ.
2) What type of distribution will we use to test this hypothesis (z-test or t-test)? Why? If a t-test, how many degrees of freedom?
3) Is this a lower tail, upper tail, or two-tailed test? Draw a graph to help show what we are doing and when we will reject and accept the null hypothesis.
4) Should we worry about the error we are trying to control if the actual average height is less than 59 inches? Why?
5) What about if the actual average height is greater than 59 inches? why?