Question: You are a researcher conducting a study on students at PVL University. To
undertake this study you prepared a questionnaire to collect data from your
respondents. You decided to conduct a sample survey from the population of
students at PVL. From your observation and prior research it was noted that PVL
has approximately 4500 students enrolled. However, for this analysis you are
interested in the number of students enrolled who are also employed on campus.
Based on the information received, currently there are 120 students employed as
student workers in all departments on campus. From the population of student
workers, you are required to sample 45 student workers.
Below is a list of the initials of the 120 student workers

Question 1
a) What is the statistical term that represent the 4500 students?
b) What is the statistical term that represent the 120 students?
c) What is the statistical term that represent the 45 students?
Question 2
a) Method – use the lottery method to perform a simple random sample, where
you draw the names from a hat or basket. Write each two letter initials on a
separate piece of paper for all 120 students, place all the slips in a hat/basket,
and select 45 times from the hat, without replacements. List the 45 names
(letter initials) derived after sampling. List the initials in the order they were
picked.
b) Below are some of the findings you collected from the survey of the 45
students sampled at PVL.
i. 65% of the respondents were females, while the remaining
respondents were males. Show this information in a graphical form.
(Label graph appropriately)
ii. 23 respondents were aged 18-23, 14 respondents were aged 24-29
and 8 respondents were aged 30-34 years. Present this in an
appropriate graph and table. (Include all headings)
Question 3
Question 12 of the questionnaire asked the students to disclose their weekly student
labour wage within the last month, for all student workers on campus. After
considering the data from the 45 students surveyed, you calculated the mean weekly
income of a student worker to be $350.00 weekly with a standard deviation of
$25.00.
a) Calculate μ
b) According to the Finance Department of PVL, the average wage of a
student worker is $365.00. However, you the researcher wanted to find out
if the mean wage is different from $365.00. The population standard
deviation given by PVL for all students was $30. Assume that the wage of
A-St. Hilaire
all student workers in the University have a normal distribution. Using the
5% significance level, can you conclude that the Finance Department’s
claim is false?
i. Perform a test of hypothesis using the p-Value approach - 4 steps
ii. Perform a test of hypothesis using the Critical-Value approach - 5 steps