The average final exam score for the statistics course is 77%. 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 lower. The...

find the p value and explain how it is done.

Extracted text: The average final exam score for the statistics course is 77%. 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 lower. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 77, 68, 51, 86, 85, 87, 80, 69, 50, 59, 81 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: 77 = H1: pv 77 c. The test statistic t V = -1.188 v (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.)