Choose a t-test for each situation: one-sample t-test, two sample t-test, paired t-test, and no t-test.
a. A random sample of students of a college is asked their statistics score. Our goal is to determine whether the mean score for students of that college is significantly different from the population mean score for all the students at the university.
b. A researcher goes to a department store and observes whether each person coming in is male or female and whether they finish their shopping within 15 minutes (yes or no).
c. A researcher visits a hospital at night and records the number of cases handled by the doctors on duty and the gender of the doctors.