According to a statistics professor, the general students’ test score is usually a normal distribution with a mean of 62 and a standard deviation of 6. Suppose that the professor
wants to see if there is any difference in students’ test scores when replacing the original
teaching method with the new teaching method. She decides to teach her class with the
new teaching method; then, records her students’ score and compare them with the original
distribution.
a. What percentage of the students’ scores higher than 77 in the original distribution?
b. Define the independent and dependent variable for the experiment.
c. The professor believes that new teaching method will lead to a decrease in scores. State
the null and alternative hypotheses.