Reference no: EM133277914
Question: In Workshop we will work on better understanding our t-statistic and how we can use the information that we know from a given problem to perform a single sample t-test. You will need a calculator and our formula packet (available in the Course Resources Module).
Last fall, a sample of n = 36 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshman class. All freshmen must take the same English Composition course, and the mean score on the final exam for the entire freshman class was ? = 74. The students in the new training program had a mean score of M = 79.4 with a standard deviation of SD = 18. Determine whether the students who participated in the new training program did significantly better in the freshman composition course than the rest of the freshman class. Assume a one-tailed test (because we're only interested in improvement) and = .05.
To start, I recommend writing down everything that you know from the above problem!
Identify the independent and dependent variable for this study. What are the levels of the IV (in other words, what are the possible values or categories of the IV)?
State H0 and H1.
Calculate the relevant degrees of freedom and look up the critical value for t in your formula packet.
Calculate the values for SDM and t. Please report both below. If you show your work, you might be able to receive partial credit even if your answer is wrong.
Calculate the size of the treatment effect using Cohen's d. Determine whether this is a small, medium, or large effect based on the table presented in lecture.
Evaluate the null hypothesis (reject or fail to reject) and provide an interpretation. What kind of error could we make with this decision?
Would the evaluation of the null hypothesis change if we did a two-tailed test instead of a one-tailed test ( = .05)? If so, how?