A professor is interested in seeing whether or not they hold their student's attention longer than average at State University. Assuming the average number of times that a student checks their phone within a 50 minute class is 4.2, determine whether or not the data the professor has collected supports their hypothesis. Below are counts of number of times the professor has seen individual students in their class check their phones within the class.

2, 2, 1, 1, 6, 5, 5, 0, 3, 3, 1, 1, 1, 1, 3

Using the data provided, determine the null and alternative hypotheses. Then determine how many tails, standard deviation for the sample, SEMs for the sample, the degrees of freedom, t-critical statistic, and t-critical value. Engage in hypothesis testing. What is your decision regarding the research question.