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First-semester GPAs for a random selection of freshmen at a large university are shown below. 1.9...

First-semester GPAs for a random selection of freshmen at a large university are shown below.

1.9 3.2 2.0 2.9 2.7 3.3 2.8 3.0 3.8 2.7 2.0 1.9 2.5 2.7 2.8 3.2 3.0 3.8 3.1 2.7 3.5 3.8 3.9 2.7 2.0 2.8 1.9 4.0 2.2 2.8 2.1 2.4 3.0 3.4 2.9 2.1

(a) (3 points) Estimate the true mean GPA of the freshman class with 99% confidence. Assume σ = 0.62, based on prior year results.

(b) (1 point) What is the margin of error?

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