You want to know if amount of studying done by students in Greek organizations (sororities and fraternities) differs from the amount of time the overall student body at UT studies per week. Historically it is believed that the average amount of time students in the overall population study is 14 hours per week. In each of the following situations, state what statistical tool is appropriate (z, t, nonparametric) and why. You do not need to do the test, just tell which tool you would use.
a. You take a sample of 30 UT students in Greek organizations and find that they study an average of 17 hours per week. Assume the population standard deviation is 4 hours. (Assume a normal distribution).
b. You take a sample of 30 UT students in Greek organizations and find they study an average of 17 hours per week with a sample standard deviation of 4 hours. (Assume the distribution is highly skewed).
c. You take a sample of 30 UT students in Greek organizations and find that they study an average of 17 hours per week with a sample standard deviation of 4 hours. (Assume a normal distribution).
d. You take a sample of 50 UT students in Greek organizations and find that they study an average of 17 hours per week with a sample standard deviation of 4 hours.