Professor Is Interested If the Average Scores of Her Students

Multiple Choice

Professor is interested if the average scores of her students in the math class are equal during the learning term or not. She considers the scores of her students for three in-class tests, end-of-course exam and the final score. The final score is calculated by the following formula: . ​ Is it possible for the professor to carry out an ANOVA F-test using all five sample treatments? Choose the correct statement.

A) The final score depends on the other variables, so she cannot carry out an ANOVA F-test for these samples.
B) The sample standard error for first in-class test is significantly greater than the standard error for the other samples, so she cannot carry out an ANOVA F-test for these samples.
C) The sample distributions are not normal, so she cannot carry out an ANOVA F-test for these samples.
D) She can carry out an ANOVA F-test for these samples.