Question: A researcher suspects that college students in Hilo, Hawaii are more liberal in their social and political views than college students in general. She gives a simple random sample of n = 10 Hilo college students a written test designed to measure their philosophy. The test produces a score for each subject that ranges from 8 (very liberal) to 1 (very conservative). Assume the population mean = 4.0. Identify the dependent and independent variable(s). Based on the following relative frequency (f) table, provide the requested information. Show all your work.

X F
8 2
7 3
6 2
5 2
4 0
3 0
2 0
1 1

a. What is the value of M?

b. What is the mode?

c. What is the value of s²?

d. How would you calculate the standard deviation?

e. What is the value of the standard deviation of the population?

f. How many degrees of freedom are there in this data set?

g. What is the Ho?

h. Calculate the Z-Score for a raw score of X=4 and interpret the result.