Question 1- The average length of time required for students to complete a test in an Introductory Statistics course is 60 minutes with a standard deviation of 12 minutes. Students are allowed 80 minutes to complete the test. Assume that the time required to complete the test follows a Normal distribution. Approximately what proportion of the students will have sufficient time to complete the test?
question 2- The average length of time required for students to complete a test in an Introductory Statistics course is 60 minutes with a standard deviation of 12 minutes. Students are allowed 80 minutes to complete the test. Assume that the time required to complete the test follows a Normal distribution. The instructor wants to increase the percentage of students that will have sufficient time to 99.38%. There is nothing (s)he can do to change the Normal distribution of the time required to complete the test. It is very difficult to manipulate the standard deviation. However, changing the mean is relatively straightforward. (Deleting a few questions will decrease the mean and vice versa.) How much should the mean be reduced to achieve the objective?