Question 20Consider two common college admissions tests:the SAT and the ACT. Scores on the SAT areNormally distributed, with a mean of 1060 and astandard deviation of 217. Scores on the ACT arealso normally distributed, with a mean of 21 and astandard deviation of 5. If Cindy scored 1320 onthe SAT and Bobby scored 29 on the ACT, whoscored higher on their respective test?CindyCindy and Bobby performed equally well in theirrespective distributions.We cannot answer this question without knowingjust how many other students also took the SATand the ACT.Since Cindy and Bobby took two different tests,it is impossible to compare their scores in orderto determine who performed better.Bobby

To determine who scored higher on their respective test, we need to compare their scores in terms of…

Answered: Consider two common college admissions…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Aaliyah and Lloyd began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Aaliyah took a test in Social Studies and earned a 79.8, and Lloyd took a test in Science and earned a 68.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 74.1 and a standard deviation of 9.6, and all the students' test grades in Science had a mean of 60.9 and a standard deviation of 8.6 to answer the following questions. a) Calculate the z-score for Aaliyah's test grade. 2 = [Round your answer to two decimal places.] b) Calculate the z-score for Lloyd's test grade. 2 = [Round your answer to two decimal places.] c) Which person did relatively better? O Aaliyah O Lloyd O They did equally well.
Miranda and Karla began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Miranda took a test in Social Studies and earned a 71.4, and Karla took a test in Art History and earned a 60.9. Use the fact that all the students' test grades in the Social Studies class had a mean of 75.3 and a standard deviation of 10.7, and all the students' test grades in Art History had a mean of 66.4 and a standard deviation of 10.3 to answer the following questions.a) Calculate the z-score for Miranda's test grade.z=b) Calculate the z-score for Karla's test grade.z=c) Which person did relatively better? Miranda Karla They did equally well.
Rachael and Autumn began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Rachael took a test in English and earned a 81.8, and Autumn took a test in Math and earned a 63.6. Use the fact that all the students' test grades in the English class had a mean of 71.3 and a standard deviation of 11.4, and all the students' test grades in Math had a mean of 60.2 and a standard deviation of 8.3 to answer the following questions. a) Calculate the z-score for Rachael's test grade.z=z= b) Calculate the z-score for Autumn's test grade.z=z= c) Which person did relatively better? RachaelAutumnThey did equally well.
Lloyd and Tara began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Lloyd took a test in Social Studies and earned a 77.1, and Tara took a test in Math and earned a 66.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 75.5 and a standard deviation of 10.5, and all the students' test grades in Math had a mean of 65.3 and a standard deviation of 8.8 to answer the following questions.a) Calculate the z-score for Lloyd's test grade.�=b) Calculate the z-score for Tara's test grade.�=c) Which person did relatively better? Lloyd Tara They did equally well.
Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?
Two students were informed that they received standard z-scores of 0.9 and -0.5, respectively on a multiple-choice examination in Science. If their grades were 95 and 60, respectively, find the mean and standard deviation of the examination grades.
An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 82 and in math 89. The overall results on the economics exam had a mean of 70 and a standard deviation of 7, while the mean math score was 69, with a standard deviation of 10. On which exam did she do better compared with the other students?
Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.
The best male long jumpers for State College since 1973 have averaged a jump of 263.0 inches with a standard deviation of 14.0 inches. The best female long jumpers have averaged 201.2 inches with a standard deviation of 7.7 inches. This year Joey jumped 283 inches and his sister, Carla, jumped 221 inches. Both are State College students. Which athlete had the more impressive performance? Justify your response appropriately, but briefly.
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
Dakota and Bill began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Dakota took a test in Science and earned a 79.9, and Bill took a test in Math and earned a 63.5. Use the fact that all the students' test grades in the Science class had a mean of 73.5 and a standard deviation of 11.4, and all the students' test grades in Math had a mean of 67 and a standard deviation of 8.3 to answer the following questions. a) Calculate the z-score for Dakota's test grade. [Round your answer to two decimal places.] b) Calculate the z-score for Bill's test grade. [Round your answer to two decimal places.] c) Which person did relatively better? O Dakota O Bill O They did equally well. Submit Question 3
Valentina obtained a score of 75 in a science exam and 90 on her English exam. on which test did she show better performance to the rest of the class? consider the mean and standard deviation values for science is 80 and 8 respectively and for English are 140 and 25.

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