Solve the problem.A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normallydistributed with a mean of 22 and a standard deviation of 5. Scores on the second test are normally distributed with amean of 71 and a standard deviation of 10.3. Assume that the two tests use different scales to measure the sameaptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, findthe score that would put him in the same percentile.)078838685

Let X denote the score on the first test, i.e., X ~ N(22,52). Thus, X~N(22,52)⇒Z=X-225Then,…

Answered: Solve the problem. A math teacher gives…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1549 and the standard deviation was 318. The test scores of four students selected at random are 1960,1270, 2250, and 1450. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Use z scores to compare the given values. The tallest living man at one time had a height of 248 cm. The shortest living man at that time had a height of 59.8 cm. Heights of men at that time had a mean of 177.61 cm and a standard deviation of 7.48 cm. Which of these two men had the height that was more extreme? and the z score for the shortest man is z = the man had the height that was more extreme. Since the z score for the tallest man is z = (Round to two decimal places.)
The mean grade of in the final examination in the mathematics was 85 and tje standard deviation was 7.in science , his mean grade was 89 and the standard deviation was 13.
Mariah and Amanda began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Mariah took a test in English and earned a 81, and Amanda took a test in Art History and earned a 61.8. Use the fact that all the students' test grades in the English class had a mean of 75.7 and a standard deviation of 9, and all the students' test grades in Art History had a mean of 60.7 and a standard deviation of 10.3 to answer the following questions.a) Calculate the z-score for Mariah's test grade.z=b) Calculate the z-score for Amanda's test grade.z=c) Which person did relatively better? Mariah Amanda They did equally well.
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.9 and standard deviation of 5.8. SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,059 and standard deviation of 203. What ACT scores make up the top 10% of all the scores? Round to the nearest whole number.
Jasmine, Jamal, and Jessa all got the same mean grade (2.7) on their quizzes last semester. The standard deviations were 0.5 for Jamal, 1.1 for Jessa, and 0.2 for Estrella. Which student received the highest grades from the quizzes?
Use z scores to compare the given values. The tallest living man at one time had a height of 225 cm. The shortest living man at that time had a height of 104.3 cm. Heights of men at that time had a mean of 173.55 cm and a standard deviation of 5.15 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z= and the z score for the shortest man is z= the V man had the height that was more extreme. (Round to two decimal places.)
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?
Suppose you have already calculated the mean, the average deviation, and the standard deviation of the weights in pounds of 20 third-graders. a. if these weights were converted to kilograms and the mean and the average deviation were once again calculated, would the second average deviation be (numerically) less than, greater than, or equal to the first average deviation? Explain your answer. b. If the standard deviation of these weights were calculated in kilograms, would it be (numerically) less than, greater than, or equal to the first standard deviation? Explain your answer
Assume you had the following information regarding three different tests you took: The MATH test mean was 70; the standard deviation was 2; your score is 66. The VERBAL test mean was 60; the standard deviation was 3; your score is 57. The SCIENCE test mean was 80; the standard deviation was 3; your score is 83. On which of the 3 tests did you have your worst performance, relative to other students? A. Math B. Verbal C. Science
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.
An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 82 and in math 87. The overall results on the economics exam had a mean of 71 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? Since she scored standard deviations V the mean in economics and standard deviations V the mean in mathematics, she did better on the exam. (Round to two decimal places as needed.)

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS