What is the t_test statistic for this hypothesis test? Draw the t-critical distribution and put the critical value(s) and shade the critical region on the distribution. Is your test statistic in your critical region?

A sample of n = 585 college students were selected to participate in the study. The mean score on the stress scale for the sample was M = 28.57 with SD = 2.518.

Research Question:

Did the participants in the study score significantly higher on the Stress Subscale pre-treatment than the normal population whose mean is = 18.08?

H₀: 18.08

H_A: > 18.08

lable 4 Pretreatment, Post-treatment, and Follow-up Symptoms by Condition Measure Treatment Control Pretreatment Post-treatment Follow-up Pretreatment Post-treatment Follow-up M (SD) M (SD) M (SD) M (SD) M (SD) M (SD) Stress 28.77 (6.12) 22.98 (9.64) 21.77 (9.87) 28.04 (6.15) 23.84 (9.18) 23.57 (9.20) Anxiety 21.11 (9.26) 15.82 (10.81) 15.98 (10.46) 19.84 (9.34) 15.60 (10.17) 15.63 (10.14) Depression 25.83 (10.34) 19.90 (12.32) 19.86 (12.08) 24.31 (10.65) 20.80 (11.98) 20.71 (11.79) Note. N = 585. Stress, Anxiety, and Depression scores had a possible range of 0-42