The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is higher. The final exam scores for the 15 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

73, 98, 63, 66, 85, 63, 87, 81, 65, 90, 88, 72, 98, 90, 91

What can be concluded at the the = 0.05 level of significance level of significance?

1. Based on this, we should Select an answer (reject, fail to reject, accept) the null hypothesis.
2. Thus, the final conclusion is that ...

a. The data suggest the populaton mean is significantly higher than 74 at = 0.05, so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is higher than 74.

b. The data suggest that the population mean final exam score for students who are given colored pens at the beginning of class is not significantly higher than 74 at = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is higher than 74.

c. The data suggest the population mean is not significantly higher than 74 at = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 74.