A researcher at the University of Dallas hypothesized that engaging in new and challenging cognitive activities would improve outcomes on the Montreal Cognitive Assessment (MoCA), which is a test of cognitive functioning. Thirty-six older adults (ages 60 to 80) were randomly selected and divided into a treatment and a control group, with 18 individuals in each group. The treatment group participated in a computer programming course for 1 hour a day for five weeks. The control group spent 1 hour a day watching television in the common room of a local seniors' home. At the end of the five-week period, all 36 individuals were administered the MoCA. The results of the experiment werem_treatment= 31.67,m_control= 29.54,s_treatment=3.81, ands_control= 4.09.Please, round your answers to exactly fourdecimal places, unless the answer has less decimals, in which case you do not need to add trailing zeros.

a. The difference between independent means, m_treatment m_control= Answer :

b. The estimated standard error of m_treatment m_control, s_{mtreatmentmcontrol}= Answer:

c. The 95% confidence interval around m_treatment m_control, 95% CI = [Answer,Answer]:

d. The estimated effect size in this experiment, d (effect size) = Answer:

e. The estimated standard error of this estimated effect size, s_d= Answer :

f. The approximate 95% confidence interval around the estimated effect size, 95% CI = [Answer,Answer] :