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...

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 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

82, 85, 97, 74, 84, 87, 65, 63, 79, 97, 69, 61, 83, 78

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

1. The null and alternative hypotheses would be:

 H0:H0:  ? μ p  Select an answer > ≠ <>

 H1:H1:  ? p μ  Select an answer ≠ = > 

1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)


2. The p-value =  (Please show your answer to 4 decimal places.)