A university gives every student an entrance exam at the beginning of their fres

Question

A university gives every student an entrance exam at the beginning of their freshman year. There exam includes general questions and specific subject questions. Scores recorded in each student file and for course placement purposes. Each year 25 students are randomly sampled for further questioning and testing. The scores for all students in the Fall of 2015 are normally distributed with mean 81 and standard deviation 5. Suppose you were asked the next two questions (don't answer them yet!): "What is the probability a randomly chosen student from the Fall 2015 scores better than 83 on the exam?" "What is the chance the average of the sampled 25 students on the entrance exams is more than 83? In which question (Question A or Question B would you need to use the central limit theorem to solve? Why? For each Question A and B the solution and distribution is below. Your tasks are to: Indicate which graph/solution represents the correct answer for each question. State why you believe the graph/solution is correct. Why you believe the remaining graphs/solutions are incorrect.

Explanation / Answer

Mean=81 and sd=5

2. As is matches with my calculation

3. As it doesn’t match with my calculation

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