You happen to know that the average GPA (grade point average) for the

Question 1 You happen to know that the average GPA (grade point average) for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. Amazingly, the GPAs are normally distributed. If you take a random sample of 40 sophomores, what is the probability that the average gpa will be more than 2.9? a) .0057 b) .7257 c) .9943 d) .2743 Question 2 You happen to know that the average GPA for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. Amazingly, the GPAs are normally distributed. If you take a randomly chosen sophomore, what is the probability that her gpa will be less than 2.9? a) .0057 b) .3446 c) .9943 d) .6554 Question 3 A lumber manufacturer sells framing lumber. The length of their boards are normally distributed and average 8 ft long with a standard deviation of .04 ft. What are the odds that if you took a sample of 50 boards that their average would be less than 8.015 ft? a) .0040 b) 2.66 c) .6462 d) .9960 Question 4 You happen to know that the average GPA (grade point average) for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. If you take a sample of 30 sophomores, there is a ten percent chance the sample average will be less than what value? a) 2.48 b) 2.742 c) 1.282 d) 2.858