Question

20. You have developed your own questionnaire to assess emotional intelligence in adults. You want to compare a group of professors to a group of undergraduate students. You randomly select 5 professors and 5 students to answer the questions on your questionnaire. You want to determine whether the two groups are different on emotional intelligence. Below are the data you collected, with higher scores showing more emotional intelligence on your questionnaire.

                        Professors____Students___

4                      19

16                    10

12                    15

6                      16

4                      21

____________________

            M=      8.4                  16.2

            s =       5.37               4.20

            s² =     28.84              17.64

           

a)What are your null and alternative/research hypotheses for these data? What is the degrees of freedom (df) and your critical (cutoff) t score value for the test (using .05, two-tailed criterion values)? (3 points)

b)Compute the standard deviation of the distribution of the difference between group means (or the S_difference) from the pooled variances and then use that value to perform an independent-sample t test on these data and report the t-statistic. (4 points)

c)Using the findings from the t test, what can you conclude? Report the results following APA format for reporting the t-test. (3 points)

Answer 1