A counseling psychologist is interested in determining whether the perception of a counselor's expertise is affected by the approach the counselor utilizes. In particular, the counseling psychologist is interested in contrasting a rational-emotive approach with a client-centered approach using an instrument that rates perceptions with a number of questions on a 7-point Likert-like rating scale. Responses to each item were added together to form an expert score. Using the five step model of hypothesis testing, calculate and interpret the appropriate test statistic to determine if there is a significant difference in means for the two groups of scores (i.e., rational-emotive and client-centered). Show all of your work and provide complete interpretations at the .05 level of significance.
Group 1: rational-emotive approach scores: 56, 42, 38, 41, 42, 25, 66, 38, 55, 61
Group 2: client-centered approach scores: 51, 45, 43, 40, 48, 22, 61, 51, 64, 56
The solution interprets the 7-point Likert-like rating scale using hypothesis testing.