You are a mathematics teacher, Before giving the following problem to your students, you will solve it and come up with a presentation. Using PowerPoint presentation, show and explain the solution to the given problem. The presentation must use clear and concise words or explanation, must be logical, and should show an accurate and detailed solution. 1. About 100 000 students all over Region I took the National Achievement Test for Mathematics. If the test score is normally distributed, what proportion of the examinees will have a z-score between 1.5 and 2.5. 2. The scores on the National Achievement test for Physics given to a certain group of students in - Region IX are normally distributed with mean 80 and standard deviation 20. What should the score of a student be to place him or her among the top 5% of all students. 3. The ages of participants in a drama workshop are normally distributed with mean 18.5 years and standard deviation 2.5 years. What is the probability that the age of a random participant is (a) more than 20 years: (b) between 16 and 18 years? 4. The ifetime of a light bulb is normaily distributed with mean 800 hours and standard deviation 50 hours. A random light bulb is selected. What is the probability that it will last for more than 950 hours? 5.The length of a ball pen is known to be normal with mean 5 inches with a standard deviation of 0.1 inch. Desiree bought one of such ball pen. What is the probability that its length is between 4.85 inches to 5.10 inches.
You are a mathematics teacher, Before giving the following problem to your students, you will solve it and come up with a presentation. Using PowerPoint presentation, show and explain the solution to the given problem. The presentation must use clear and concise words or explanation, must be logical, and should show an accurate and detailed solution. 1. About 100 000 students all over Region I took the National Achievement Test for Mathematics. If the test score is normally distributed, what proportion of the examinees will have a z-score between 1.5 and 2.5. 2. The scores on the National Achievement test for Physics given to a certain group of students in - Region IX are normally distributed with mean 80 and standard deviation 20. What should the score of a student be to place him or her among the top 5% of all students. 3. The ages of participants in a drama workshop are normally distributed with mean 18.5 years and standard deviation 2.5 years. What is the probability that the age of a random participant is (a) more than 20 years: (b) between 16 and 18 years? 4. The ifetime of a light bulb is normaily distributed with mean 800 hours and standard deviation 50 hours. A random light bulb is selected. What is the probability that it will last for more than 950 hours? 5.The length of a ball pen is known to be normal with mean 5 inches with a standard deviation of 0.1 inch. Desiree bought one of such ball pen. What is the probability that its length is between 4.85 inches to 5.10 inches.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Transcribed Image Text:You are a mathematics teacher, Before giving the following problem to
your students, you will solve it and come up with a presentation. Using
PowerPoint presentation, show and explain the solution to the given problem.
The presentation must use clear and concise words or explanation, must be
logical, and should show an accurate and detailed solution.
| 1. About 100 000 students all over Region I took the National Achievement
Test for Mathematics. If the test score is normally distributed, what proportion
of the examinees will have a z-score between 1.5 and 2.5.
2. The scores on the National Achievement test for Physics given to a certain
group of students in
- Region IX are normally distributed with mean 80 and standard deviation
20. What should the score of a student be to place him or her among the top
5% of all students.
3. The ages of participants in a drama workshop are normally distributed with
mean 18.5 years and standard deviation 2.5 years. What is the probability that
the age of a random participant is (a) more than 20 years: (b) between 16
and 18 years?
4. The ifetime of a light bulb is normally distributed with mean 800 hours and
standard deviation 50 hours. A random light bulb is selected. What is the
probability that it will last for more than 950 hours?
5.The length of a ball pen is known to be normal with mean 5 inches with a
standard deviation of 0.1 inch. Desiree bought one of such ball pen. What is
the probability that its length is between 4.85 inches to 5.10 inches.
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