PART B

The educational psychologist gets approval to ask all students in the University to complete the academic burnout scale.

The average score for all university students on academic burnout is 26.11 (μ = 26.11) and the standard deviation is 6.25 (σ = 6.25).

Question 5

The educational psychologist takes a random sample of 10 students from the University and asks them to engage in 10 healthy self-care strategies (e.g., monitoring feelings, spending time with family, relaxation) for a week. At the end of the intervention, she asks those 10 students to fill in the academic burnout scale.

The educational psychologist wants to know if the sample of 10 students have an average (mean) score on academic burnout that is significantly different to that of the University (i.e., the population).

The average score on academic burnout for the sample of 10 students after they completed the self-care intervention is 22.70 (X = 22.70). Also note that the distribution for academic burnout is normal.

Here are the scores on academic burnout for the sample of 10 students after the self-care intervention:

Now answer these questions:

a) State the null and experimental hypotheses.

b) Calculate the z–score for the sample mean on the sampling distribution of the mean (i.e., calculate z-obtained).

c) What is the probability of this z-score having been obtained if the null hypothesis were true?

d) What should the educational psychologist conclude?

e) Write up the results of the z-test in APA format using correct statistical notation.

alternative-data-set.sav