(a) Find the -scores of Keiko's entry-level salary as a chemist and Kaitlin's entry-level salary as a mathematician. Round your answers to two decimal places. -score of Keiko's salary:|| E-score of Kaitlin's salary:| (b) Relative to her population, who got the higher salary? Choose the best answer based on the -scores of the two salaries. O Keiko O Kaitlin O It is unclear who got the higher salary relative to her population

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter38: Achievement Review—section Three
Section: Chapter Questions
Problem 6AR
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Keiko and Kaitlin each graduated from college last year and got entry-level positions. Keiko got an entry-level position as a chemist with a salary of $59,416, and Kaitlin got an entry-level position as a mathematician with a salary of $78,633.

Last year, the distributions of entry-level salaries were clearly bell-shaped for chemists and for mathematicians. That year, the entry-level salary of chemists had a population mean of $63,000 and a standard deviation of $2200, and the entry-level salaries of mathematicians had a population mean of $71,000 and a standard deviation of $2700.

(a) Find the z-scores of Keiko's entry-level salary as a chemist and Kaitlin's entry-level salary as a mathematician. Round your
answers to two decimal places.
E-score of Keiko's salary: I
E-score of Kaitlin's salary:
(b) Relative to her population, who got the higher salary?
Choose the best answer based on the --scores of the two salaries.
O Keiko
O Kaitlin
O It is unclear who got the higher salary relative to her population
Transcribed Image Text:(a) Find the z-scores of Keiko's entry-level salary as a chemist and Kaitlin's entry-level salary as a mathematician. Round your answers to two decimal places. E-score of Keiko's salary: I E-score of Kaitlin's salary: (b) Relative to her population, who got the higher salary? Choose the best answer based on the --scores of the two salaries. O Keiko O Kaitlin O It is unclear who got the higher salary relative to her population
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