Question

You decide to take this time at home to create an at home workout plan to get back in shape. After you’ve made your program, you give it to n = 9 of your friends and family. You measure the success of this workout plan based on any change in weight (participants may lose weight from losing fat or gain weight by gaining muscle, so you’re not looking for a clear increase or decrease), weighing them from when they started and weighing them again four weeks later. The average weights between both times produced a difference of MD = 5 and s = 3.

a. What type of t test would you run to determine whether or not a difference in weight exists before and after participants used this workout program?

b. Tell me the null and alternative hypotheses and identify the critical region for a one-tailed test with α = .01.

c. Calculate the t statistic.

d. Should you reject or fail to reject the null?

e. What is the result of this telling us? Look at the scores, hypotheses, and explain what this test is telling us.

Answer 1