For admission to graduate school, Kira is taking the physics subject-matter test, and Donna is taking the chernistry subject-matter test. Kira scored 646 on the physics test, and Donna scored 659 on the chemistry test. For each of these subject-matter tests, the distribution of scores is dearly bell-shaped. Scores for the physics test have a population mean of 605 points with a standard deviation of 34 points. Scores for the chemistry test have a population mean of 627 points with a standard deviation of 17 points. (a) Find the z-scores of Kira's performance as a score on the physics test and Donna's performance as a score on the chemistry test. Round your answers to two decimal places. Z-score of Kira's score:| Z-score of Donna's score:|| (b) Relative to her population, who scored higher? Choose the best answer based on the z-scores of the two test scores. O Kira O Donna It is unclear who scored higher relative to her population

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For admission to graduate school, Kira is taking the physics subject-matter test, and Donna is taking the chemistry subject-matter test. Kira scored 646 on the physics test, and Donna scored 659 on the chemistry test.

For each of these subject-matter tests, the distribution of scores is clearly bell-shaped. Scores for the physics test have a population mean of 605 points with a standard deviation of 34 points. Scores for the chemistry test have a population mean of 627 points with a standard deviation of 17 points.

(a) Find the z-scores of Kira’s performance as a score on the physics test and Donna’s performance as a score on the chemistry test. Round your answers to two decimal places.

- z-score of Kira’s score: [ ]
- z-score of Donna’s score: [ ]

(b) Relative to her population, who scored higher?

Choose the best answer based on the z-scores of the two test scores.

- ( ) Kira
- ( ) Donna
- ( ) It is unclear who scored higher relative to her population
Transcribed Image Text:For admission to graduate school, Kira is taking the physics subject-matter test, and Donna is taking the chemistry subject-matter test. Kira scored 646 on the physics test, and Donna scored 659 on the chemistry test. For each of these subject-matter tests, the distribution of scores is clearly bell-shaped. Scores for the physics test have a population mean of 605 points with a standard deviation of 34 points. Scores for the chemistry test have a population mean of 627 points with a standard deviation of 17 points. (a) Find the z-scores of Kira’s performance as a score on the physics test and Donna’s performance as a score on the chemistry test. Round your answers to two decimal places. - z-score of Kira’s score: [ ] - z-score of Donna’s score: [ ] (b) Relative to her population, who scored higher? Choose the best answer based on the z-scores of the two test scores. - ( ) Kira - ( ) Donna - ( ) It is unclear who scored higher relative to her population
Expert Solution
Step 1

Given information-

For Physics-

Population mean, µ = 605

Population standard deviation, σ = 34

And for Chemistry-

Population mean, µ = 627

Population standard deviation, σ = 17

We have given that Kira scored 646 on the Physics test and Donna scored 659 on the Chemistry test.

We have to find the Z-score for both Kira and Donna.

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