18. A researcher wants to test the engagement of young students in two different types of lessons. A class of 46 students were given traditional lectures for a week, and a class of 36 students were given performance lectures where the teacher acted out parts of the lecture. The researchers want to test whether the performance lectures yield a higher mean number of questions than the traditional lecture. The traditional lecture group had a mean count of 35 questions with a standard deviation of 12 questions. The performance lecture group had a mean count of 45 questions with a standard deviation of 14 questions. Test the hypothesis above at an alpha level at a=.05 and report results using APA format. a. State the Hypotheses in words and symbols. b. Find the CV of t, draw the curve showing the direction predicted. c. Calculate SS for each group (use formula with SD and df), the pooled variance, SEM, and t-value. d. Write your conclusion in a sentence with APA stats reported at the end