Question: An economics professor states on her syllabus that final grades will be distributed using the normal distribution. The final averages of 300 students are calculated, and she groups the data into a frequency distribution as shown below. The mean and the standard deviation of the final averages are x‾ = 72 and s 10.
a. Using the goodness-of-fit test for normality, state the competing hypotheses in order to determine if we can reject the professor's normality claim.
b. Calculate the value of the test statistic.
c. At a 5% significance level, what is the critical value?
d. What is the conclusion to the test?