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The bell curve below represents the probability distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the three indicated boxes.

The bell curve below represents the probability distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the three indicated boxes.

MATLAB: An Introduction with Applications
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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**Title: Understanding Normal Distribution in College Math Class Testing Times** According to National Testing data, college math class testing times are normally distributed with a mean (\(\mu\)) of 44 minutes and a standard deviation (\(\sigma\)) of 2 minutes. **Explanation of the Bell Curve:** The bell curve below represents the probability distribution for testing times. The scale on the horizontal axis corresponds to the standard deviation. There are three boxes positioned along the curve that need to be filled in. - **Mean (\(\mu\))**: The peak of the bell curve indicates the mean, which is 44 minutes. This is the average testing time for the college math classes. - **Standard Deviation (\(\sigma\))**: The distance between each mark on the horizontal axis is equal to 2 minutes, representing one standard deviation. This measure shows the variation in testing times from the mean. **Tasks:** - Fill in the three indicated boxes located on the curve. These boxes likely correspond to standard deviations around the mean: - The first box represents one standard deviation below the mean (42 minutes). - The middle box is at the mean (44 minutes). - The last box represents one standard deviation above the mean (46 minutes). Understanding this distribution helps illustrate the range and probabilities of different testing times in the class. This model ensures comprehension of normal distribution in a practical scenario.
Transcribed Image Text:**Title: Understanding Normal Distribution in College Math Class Testing Times** According to National Testing data, college math class testing times are normally distributed with a mean (\(\mu\)) of 44 minutes and a standard deviation (\(\sigma\)) of 2 minutes. **Explanation of the Bell Curve:** The bell curve below represents the probability distribution for testing times. The scale on the horizontal axis corresponds to the standard deviation. There are three boxes positioned along the curve that need to be filled in. - **Mean (\(\mu\))**: The peak of the bell curve indicates the mean, which is 44 minutes. This is the average testing time for the college math classes. - **Standard Deviation (\(\sigma\))**: The distance between each mark on the horizontal axis is equal to 2 minutes, representing one standard deviation. This measure shows the variation in testing times from the mean. **Tasks:** - Fill in the three indicated boxes located on the curve. These boxes likely correspond to standard deviations around the mean: - The first box represents one standard deviation below the mean (42 minutes). - The middle box is at the mean (44 minutes). - The last box represents one standard deviation above the mean (46 minutes). Understanding this distribution helps illustrate the range and probabilities of different testing times in the class. This model ensures comprehension of normal distribution in a practical scenario.
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