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A ) Students were asked to rank their admiration of Jennifer Lopez and Venus Wil

ID: 3125384 • Letter: A

Question

A ) Students were asked to rank their admiration of Jennifer Lopez and Venus Williams on a scale of 1 (low) to 7 (high). The population mean rating for Lopez was a 3.72, with a standard deviation of 1.90. The population mean rating for Williams was 4.58, with a standard deviation of 1.46. Another student, Lynn, rated her admiration of Lopez at a 4 and Williams at a 5. Calculate Lynn's z score for her rating of Lopez. Calculate Lynn's z score for her rating of Williams.

B) Compared to the other students in this database, which celebrity does Lynn most admire (based on the z scores above)? Enter either "Lopez" or "Williams" as your answer.

Explanation / Answer

a)

As

z = (x-u)/sigma

Then, for Lopez,

z(Lopez) = (4-3.72)/1.90 = 0.147368421 [ANSWER]

z(Williams) = (5-4.58)/1.46 = 0.287671233 [ANSWER]


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b)

As Williams has greater z score, the WILLIAMS. [ANSWER]