Jebediah scores 890 on the mathematics part of the SAT exam. The distribution of SAT scores in the population is normal, with a mean and a standard deviation (μ = 500, σ = 100). Jane takes the American College Testing (ACT) mathematics test and scores 27. ACT scores are normally distributed with a mean and standard deviation (μ = 18, σ = 6). Find the standardized scores for both students. Assuming that both tests measure the same kind of ability (math achievement), who has the higher score?Please do not round. Use all available values in calculations.

Jebediah scores 890 on the mathematics part of the SAT exam. The distribution of SAT scores in the population is normal, with a mean and a standard deviation (μ = 500, σ = 100). Jane takes the American College Testing (ACT) mathematics test and scores 27. ACT scores are normally distributed with a mean and standard deviation (μ = 18, σ = 6). Find the standardized scores for both students. Assuming that both tests measure the same kind of ability (math achievement), who has the higher score?Please do not round. Use all available values in calculations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

Jebediah scores 890 on the mathematics part of the SAT exam. The distribution of SAT scores in the population is normal, with a mean and a standard deviation (μ = 500, σ = 100). Jane takes the American College Testing (ACT) mathematics test and scores 27. ACT scores are normally distributed with a mean and standard deviation (μ = 18, σ = 6). Find the standardized scores for both students. Assuming that both tests measure the same kind of ability (math achievement), who has the higher score?

Please do not round. Use all available values in calculations.

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