The average final exam score for the statistics course is 78%. 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 different. 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.

82, 55, 86, 52, 59, 80, 62, 51, 81, 82, 67, 51, 58, 54, 73

What can be concluded at the = 0.10 level of significance?

Find the test statistic and p value