Exercise 1.10 1. Cheryl has taken two quizzes in her history class. She scored 15 on the first quiz, for which the mean of all scores was 12 and the standard deviation was 2.4. Her score on the second quiz, for which the mean of all scores was 11 and the standard deviation was 2.0, was 14. In comparison to her classmates, did Cheryl do better on the first quiz or the second quiz? 2. Roland received a score of 70 for which the mean score was 65.5. Roland has learned that the z- score for his test is 0.6. What is the standard deviation for this set of test scores? 3. A data set has a mean of = 75 and a standard deviation of 11.5. Find the z-score for each of the following: a. x = 85 b. x = 95 c.x = 50 d. x = 75 4. A random sample of 1000 oranges showed that the mean amount of juice per orange was 7.4 fluid ounces, with a standard deviation of 1.1 fluid ounces. a. Determine the z-score, to the nearest hundredth, of an orange that produced 6.6 fluid ounces of juice. b. The z-score for one orange was 3.15. How much juice was produced by this orange? Round to the nearest tenth of a fluid ounce.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Exercise 1.10
1. Cheryl has taken two quizzes in her history class. She scored 15 on the first quiz, for which the
mean of all scores was 12 and the standard deviation was 2.4. Her score on the second quiz, for
which the mean of all scores was 11 and the standard deviation was 2.0, was 14. In comparison to
her classmates, did Cheryl do better on the first quiz or the second quiz?
2. Roland received a score of 70 for which the mean score was 65.5. Roland has learned that the z-
score for his test is 0.6. What is the standard deviation for this set of test scores?
3. A data set has a mean of i = 75 and a standard deviation of 11.5. Find the z-score for each of the
following:
a. x = 85
b. x = 95
c. x = 50
d. x = 75
4. A random sample of 1000 oranges showed that the mean amount of juice per orange was 7.4
fluid ounces, with a standard deviation of 1.1 fluid ounces.
a. Determine the z-score, to the nearest hundredth, of an orange that produced 6.6 fluid ounces of
juice.
b. The z-score for one orange was 3.15. How much juice was produced by this orange? Round to the
nearest tenth of a fluid ounce.
Transcribed Image Text:Exercise 1.10 1. Cheryl has taken two quizzes in her history class. She scored 15 on the first quiz, for which the mean of all scores was 12 and the standard deviation was 2.4. Her score on the second quiz, for which the mean of all scores was 11 and the standard deviation was 2.0, was 14. In comparison to her classmates, did Cheryl do better on the first quiz or the second quiz? 2. Roland received a score of 70 for which the mean score was 65.5. Roland has learned that the z- score for his test is 0.6. What is the standard deviation for this set of test scores? 3. A data set has a mean of i = 75 and a standard deviation of 11.5. Find the z-score for each of the following: a. x = 85 b. x = 95 c. x = 50 d. x = 75 4. A random sample of 1000 oranges showed that the mean amount of juice per orange was 7.4 fluid ounces, with a standard deviation of 1.1 fluid ounces. a. Determine the z-score, to the nearest hundredth, of an orange that produced 6.6 fluid ounces of juice. b. The z-score for one orange was 3.15. How much juice was produced by this orange? Round to the nearest tenth of a fluid ounce.
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