A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 3 students' scores on the exam after completing the course:
13,12,7
Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.
Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
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