I. A statistics instructor wants to measure the effectiveness of his teaching skills in a class of 66 students (N = 66).
He selects students by waiting at the door to the classroom prior to his lecture and pulling aside every third student to give him or her a questionnaire.
(a) Assuming that all students attend his class that day, how many students will he select to complete the questionnaire?
____________ students
(b) Is this sample design an example of random sampling? Explain.
( )Yes, because each student has an equal chance of being selected, and each student is replaced before selecting another student.
( )No, because each student is not selected at random, and each student is not replaced before selecting another student.
II. A population is normally distributed with a mean of 56 and a standard deviation of 12.
(a) What is the mean of the sampling distribution (μM) for this population?
μM = ________
(b) If a sample of 36 participants is selected from this population, what is the standard error of the mean (σM)?
σM = _________