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

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?
.0057.7257 .9943.2743
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?
.0057.3446.9943.6554
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?
.00402.66.6462.9960
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?
2.482.7421.282 2.858

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