The chairperson of UCSD's Department of Psychology and Agriculture ("psychogriculture") thinks that some of his faculty members are more popular than others. Dr. Partay, Dr. Goode-Klas, Dr.O'Kaye, and Dr. Bhoring all teach different sections of "Super Advanced Spudtistics" (which is like statistics, but with less math and more potatoes). The number of students enrolled in each section is listed below...

Dr. Partay:

41

Dr. Goode-Klas:

38

Dr. O'Kaye:

30

Dr. Bhoring

25

Based on this information, conduct the appropriate test, at a = .05, to determine whether enrollment is distributed equally or differs among these professors of psychogriculture. Provide the information indicated below:

a) Statistical Hypotheses

b) Decision Rule

c) Calculations

d) Decision

e) Interpretation

f) p-value