Show your solutions and draw the curves for the word problems. I. Find the area under the normal curve given the z-scores. A. Using Standard Normal Distribution Table (Mean to z-score) 1. 2.17 2. -1.15 3. -2.63 to 2.63

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Show your solutions and draw the curves for the word problems.
I.
Find the area under the normal curve given the z-scores.
A. Using Standard Normal Distribution Table (Mean to z-score)
1. 2.17
2. -1.15
3. -2.63 to 2.63
B. Using the Positive and negative z-score table.
1. 2.22
2. – 0.66
3. О.14 to 2.55
II.
Word Problems.
1. The scores in final of the engineering students in their EDA class are
normally distributed with a mean of 75 and a standard deviation of 6.
Using the empirical rule “68-95-99.7". Find the percentage of the
class that:
a. Score is above 87.
b. Score is below 69.
c. Score is below 81 but above 63.
2. The average test scores of students in NSTP class were 70 with a
standard deviation of 8. There are 500 students in this class. Use the
positive and negative z-score table to answer the following questions.
a. What is the probability of randomly selecting students with a
score of less than 65?
b. How many students scored above 85?
c. The middle 50% of test scores fall between what two points?
Transcribed Image Text:Show your solutions and draw the curves for the word problems. I. Find the area under the normal curve given the z-scores. A. Using Standard Normal Distribution Table (Mean to z-score) 1. 2.17 2. -1.15 3. -2.63 to 2.63 B. Using the Positive and negative z-score table. 1. 2.22 2. – 0.66 3. О.14 to 2.55 II. Word Problems. 1. The scores in final of the engineering students in their EDA class are normally distributed with a mean of 75 and a standard deviation of 6. Using the empirical rule “68-95-99.7". Find the percentage of the class that: a. Score is above 87. b. Score is below 69. c. Score is below 81 but above 63. 2. The average test scores of students in NSTP class were 70 with a standard deviation of 8. There are 500 students in this class. Use the positive and negative z-score table to answer the following questions. a. What is the probability of randomly selecting students with a score of less than 65? b. How many students scored above 85? c. The middle 50% of test scores fall between what two points?
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