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Probability values based on normal distribution.
The old exit exam followed a normal distribution with µ = 500 and σ = 10. On this exam, Jessica's score was 523. On the new exit exam, with results following a normal distribution with µ = 600 and σ = 20, Jessica made a 644. On which exam did she do better relative to her peers?
a) The old exam, on which she was 2.3 σs above the mean as opposed to 2.2 on the new exam.
b) The old exam when she scored higher than 2.3% of her peers as opposed to 2.2% on the new exam.
c) The new exam because she scored higher than 1.2% of her peers as opposed to 1.1% on the old exam.
d) The new exam, since 644 is higher than 521.
e) None of the above
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Show your work (either your hand calculations or your statistical program output). You can either scan your work and submit it as a low-resolution graphic, type your answers directly into the document, or cut and paste your work into a Word file.
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