Two different teaching methods are being evaluated.After 12 students were taught using Method 1 and 13 students were taught using Method 2, all the students were given the same exam with the results for the number of correct answers summarized below:

Method 1 Method 2

Sample size 12 13

Sample variance 841.00 1,474.56

1. Calculate S²_p

2. What are the degrees of freedom and what is the table value that you would use for a 90% confidence interval?

3. Suppose you calculated a 90% confidence form₁-m₂ and it resulted in an interval of (-5.471, -0.55). What would be the interpretation?

4. Suppose you were asked for the p-value. How would you go about answering that question?