A social researcher is interested in understanding the effect ofcollege education on wages. The workers in one group have earned anassociate’s degree while members of the other group hold at least abachelor’s degree. He would like to run a hypothesis test with α =.10 to see if those with a bachelor’s degree have significantlyhigher hourly wages than those with an associate’s degree.

Bachelor’s degree		Associate’s degree
Participant	Hourly wage	Participant	Hourly wage
1	11.25	11	10.25
2	12.25	12	11.25
3	11.60	13	9.10
4	9.80	14	10.00
5	9.40	15	9.70
6	12.60	16	11.00
7	11.80	17	10.10
8	12.70	18	9.40
9	11.90	19	9.20
10	14.10	20	10.50

a. Calculate standard deviation of the comparisondistribution

1. Calculate the t statistic (2 points total: 1 for workand 1 for result)

1. Considering the research question and the hypotheses, shouldthe test be one-tailed or two-tailed? Why? (2 points total: 1 foreach answer)

1. Determine the critical t value(s) for this hypothesis testbased on the degree of freedom, from (d), and the preset alphalevel. (1 point total)

1. Compare the calculated t statistic with the criticalt value by stating which is more “extreme”, and then makea decision about the hypothesis test by stating clearly “reject” or“fail to reject” the null hypothesis. (1 point total: .5 forcomparison, .5 for decision)

e. Calculate the pooled standard deviation for the populationsand then use it to calculate the standardized effect size of thistest.