This applies to question 20 - 22. A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which high scores indicated high degrees of approval of one's own social role. The results were as follows. Ethnic Group A: N = 15 M = 55 $2 = 6.5 Ethnic Group B: N = 23 M = 51 $2 = 4.5 20. If a t test for independent means is conducted, how many degrees of freedom will be used to locate the cutoff score in the t table? 21. What is the pooled estimate of the population variance? 22. If the standard deviation of the distribution of the difference between means is 0.76, what is the t score? What is your statistical decision (Reject/Do Not Reject) Use a significance level of .05 and conduct a two-tail test. Draw out the comparison distribution, provide the t critical value(s), calculate your t score, and provide your statistical decision