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The testing times for a group of college students were normally distributed with a mean of μ = 31 minutes and a standard deviation of a 3.9 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. μ-30 μ-20 μ-0 0000 μ μ+o μ+2σ μ+30 Use the Empirical Rule to complete the following statements: 68% of testing times were between 95% of testing times were between = 31 σ = 3.9 99.7% of testing times were between 50% of testing times were below minutes and minutes and minutes and minutes. minutes. minutes. minutes.

The testing times for a group of college students were normally distributed with a mean of μ = 31 minutes and a standard deviation of a 3.9 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. μ-30 μ-20 μ-0 0000 μ μ+o μ+2σ μ+30 Use the Empirical Rule to complete the following statements: 68% of testing times were between 95% of testing times were between = 31 σ = 3.9 99.7% of testing times were between 50% of testing times were below minutes and minutes and minutes and minutes. minutes. minutes. minutes.

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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### Normal Distribution of Testing Times The testing times for a group of college students are normally distributed with a mean (\(\mu\)) of 31 minutes and a standard deviation (\(\sigma\)) of 3.9 minutes. The bell curve below represents the distribution of testing times. The scale on the horizontal axis is measured in terms of the standard deviation. **Diagram Explanation:** The bell curve shows a normal distribution centered around the mean of 31 minutes. The x-axis is marked at intervals of the standard deviation (3.9 minutes). The specific points are labeled as: - \(\mu - 3\sigma\) - \(\mu - 2\sigma\) - \(\mu - \sigma\) - \(\mu\) - \(\mu + \sigma\) - \(\mu + 2\sigma\) - \(\mu + 3\sigma\) **Empirical Rule Application:** Use the Empirical Rule to complete the following statements: - **68% of testing times** were between \(\mu - \sigma\) and \(\mu + \sigma\) minutes. - **95% of testing times** were between \(\mu - 2\sigma\) and \(\mu + 2\sigma\) minutes. - **99.7% of testing times** were between \(\mu - 3\sigma\) and \(\mu + 3\sigma\) minutes. - **50% of testing times** were below \(\mu\) minutes. Calculate the specific values: - \(\mu - \sigma = 31 - 3.9 = 27.1\) - \(\mu + \sigma = 31 + 3.9 = 34.9\) - \(\mu - 2\sigma = 31 - 7.8 = 23.2\) - \(\mu + 2\sigma = 31 + 7.8 = 38.8\) - \(\mu - 3\sigma = 31 - 11.7 = 19.3\) - \(\mu + 3\sigma = 31 + 11.7 = 42.7\) Fill in the indicated boxes with these calculated values.
Transcribed Image Text:### Normal Distribution of Testing Times The testing times for a group of college students are normally distributed with a mean (\(\mu\)) of 31 minutes and a standard deviation (\(\sigma\)) of 3.9 minutes. The bell curve below represents the distribution of testing times. The scale on the horizontal axis is measured in terms of the standard deviation. **Diagram Explanation:** The bell curve shows a normal distribution centered around the mean of 31 minutes. The x-axis is marked at intervals of the standard deviation (3.9 minutes). The specific points are labeled as: - \(\mu - 3\sigma\) - \(\mu - 2\sigma\) - \(\mu - \sigma\) - \(\mu\) - \(\mu + \sigma\) - \(\mu + 2\sigma\) - \(\mu + 3\sigma\) **Empirical Rule Application:** Use the Empirical Rule to complete the following statements: - **68% of testing times** were between \(\mu - \sigma\) and \(\mu + \sigma\) minutes. - **95% of testing times** were between \(\mu - 2\sigma\) and \(\mu + 2\sigma\) minutes. - **99.7% of testing times** were between \(\mu - 3\sigma\) and \(\mu + 3\sigma\) minutes. - **50% of testing times** were below \(\mu\) minutes. Calculate the specific values: - \(\mu - \sigma = 31 - 3.9 = 27.1\) - \(\mu + \sigma = 31 + 3.9 = 34.9\) - \(\mu - 2\sigma = 31 - 7.8 = 23.2\) - \(\mu + 2\sigma = 31 + 7.8 = 38.8\) - \(\mu - 3\sigma = 31 - 11.7 = 19.3\) - \(\mu + 3\sigma = 31 + 11.7 = 42.7\) Fill in the indicated boxes with these calculated values.
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