# Statistics and probability

WEEK 4 – EXERCISES

Enter your answers in the spaces provided. Save the file using your last name as the beginning of the file name (e.g., ruf_week4_exercises) and submit via “Assignments.” When appropriate, show your work. You can do the work by hand, scan/take a digital picture, and attach that file with your work.

1. Consider the study of the effect of a teaching method designed to increase the probability of successful completion of a statistics course on the self-esteem of students in the course.

Again, for the normally distributed known population, the Population M = 63 and the Population SD = 12.

What is the estimated effect size for samples that have completed the treatment and have means of (a) 54, (b) 57, (c) 60, (d) 71, and (e) 78?

For each sample mean, indicate whether the effect is approximately small, medium, or large.

 PROBLEM (Pop1 M – Pop2 M) / Pop SD Estimated Effect Size Effect Size (a) (b) (c) (d) (e)
1. What will be the predicted effect size of the following studies of student test anxiety if the means are (a) 35, (b) 42, (c) 50, (d) 56, and (e) 60?

The known population of students experiencing test anxiety is normally distributed with Population M = 44 and Population SD = 8.

For each sample mean, indicate whether the effect is approximately small, medium, or large.

 PROBLEM (Pop1 M – Pop2 M) / Pop SD Estimated Effect Size Effect Size (a) (b) (c) (d) (e)