A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. The mean is 77, witha standard deviation of 7. The teacher wishes to give A's to the top 4.5% of the students and F's to the bottom 4.5%. A grade of Bis given to the next 19.8%, with D's given similarly. All other students get C's. Find the bottom cutoff for a grade of A.The bottom cutoff for an A is (Round to the nearest whole number as needed.)

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Answered: A teacher gives a test to a large group…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Cherise is interested in how her friends compare to the population for number of hours of television watched during a single week. She collects the data from 9 of her friends. The average for her friends is 28 hours, with a standard deviation of 9. She knows that the population mean is 34. What is the t statistic?
Test scores for a history class had a mean of 69 with a standard deviation of 4.5. Test scores for a physics class had a mean of 79 with a standard deviation of 3.5. Suppose a student gets a 75 on the history test and 83 on the physics test. Calculate the z- score for each test. On which test did the student perform better? A. B. C. D. History exam; history z-score is 1.33; physics z-score is 1.14 Physics exam; history z-score is 1.33; physics z-score is 1.14 History exam; history z-score is -1.33; physics z-score is -1.14 Physics exam; history z-score is -1.33; physics z-score is -1.14
A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.
Neil scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a mean of 54 and a standard deviation of 7. Greg was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. Who did better relative to their class?
A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. c. What proportion of people scored in the A range (90 or above)?d. What proportion of people failed the exam (60 or below)?
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?
The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 15. Write only a number as your answer. Round your answer to two decimal places (for example: 3.15).
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 = 21.5 and standard deviation = 5.4. SAT Scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean = 1498 and standard deviation = 316. (b) Joshua scores 17 on the ACT. Anthony scores 1030 on the SAT. Assuming both tests measure the same thing, who has the higher score? Report both z-scores. (c) What is the purpose of finding the z-scores for both the ACT and SAT scores?
Raul received a score of 79 on a history test for which the class mean was 70 with a standard deviation of 7. He received a score of 79 on a biology test for which the class mean was 70 with standard deviation 9. On which test did he do better relative to the rest of the class? A. biology test B. history test C. the same

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