Five students were tested before and after taking a class to improve their study habits.They were given articles to read which contained a known number of facts in each story.After the story each student listed as many facts as he/she could recall.The following data was recorded.

Before: 10, 12, 14, 16, 12

After: 15, 14, 17, 17, 20

a.What is the alternative hypothesis?

b.What is the null hypothesis?

c.What is your conclusion, using= 0.05_{2 tail}?

d.What type error may you be making because of your conclusion in part c?Please show all work.

e.What is the size of effect, using Cohen's d?