QUESTION 12 An instructor of LEGO Robotics at MIT stated that the mean score in the course is greater than 82.4. A graduate assistant wants to test the instructor's claim and pulls a random sample of 52 students. The random sample has a mean of 83.9 and a standard deviation of 7.2. Based upon a 5% level of significance the graduate assistant states that they will fail to reject the null. Assume the population is normally distributed.

Interpret your decision in the context of the original claim.

In order to receive credit on this question, explain why you wrote the conclusion the way you did.