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Understanding Normal Distributions The time to complete an exam is approximately normal with a mean of 55 minutes and a standard deviation of 7 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. H = 55 o = 7 μ-3σ μ -2σ μ-σ µ+ 20 u+3o

Understanding Normal Distributions The time to complete an exam is approximately normal with a mean of 55 minutes and a standard deviation of 7 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. H = 55 o = 7 μ-3σ μ -2σ μ-σ µ+ 20 u+3o

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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**Understanding Normal Distributions** The time to complete an exam is approximately normal with a mean of 55 minutes and a standard deviation of 7 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. - **Diagram Explanation**: The bell curve is a visual representation of a normal distribution. The center of the curve, labeled as \( \mu \), corresponds to the mean of the distribution (55 minutes). The horizontal axis represents deviations from the mean, calculated using the standard deviation (\( \sigma = 7 \)). The points along the axis are distributed as follows: - \( \mu - 3\sigma \) - \( \mu - 2\sigma \) - \( \mu - \sigma \) - \( \mu \) - \( \mu + \sigma \) - \( \mu + 2\sigma \) - \( \mu + 3\sigma \) - **Values to Fill**: - \( \mu - 3\sigma = 55 - 3 \times 7 = 34 \) - \( \mu - 2\sigma = 55 - 2 \times 7 = 41 \) - \( \mu - \sigma = 55 - 7 = 48 \) - \( \mu = 55 \) - \( \mu + \sigma = 55 + 7 = 62 \) - \( \mu + 2\sigma = 55 + 2 \times 7 = 69 \) - \( \mu + 3\sigma = 55 + 3 \times 7 = 76 \) These calculations allow for an understanding of how data is distributed across the standard deviation ranges from the mean in a normal distribution.
Transcribed Image Text:**Understanding Normal Distributions** The time to complete an exam is approximately normal with a mean of 55 minutes and a standard deviation of 7 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. - **Diagram Explanation**: The bell curve is a visual representation of a normal distribution. The center of the curve, labeled as \( \mu \), corresponds to the mean of the distribution (55 minutes). The horizontal axis represents deviations from the mean, calculated using the standard deviation (\( \sigma = 7 \)). The points along the axis are distributed as follows: - \( \mu - 3\sigma \) - \( \mu - 2\sigma \) - \( \mu - \sigma \) - \( \mu \) - \( \mu + \sigma \) - \( \mu + 2\sigma \) - \( \mu + 3\sigma \) - **Values to Fill**: - \( \mu - 3\sigma = 55 - 3 \times 7 = 34 \) - \( \mu - 2\sigma = 55 - 2 \times 7 = 41 \) - \( \mu - \sigma = 55 - 7 = 48 \) - \( \mu = 55 \) - \( \mu + \sigma = 55 + 7 = 62 \) - \( \mu + 2\sigma = 55 + 2 \times 7 = 69 \) - \( \mu + 3\sigma = 55 + 3 \times 7 = 76 \) These calculations allow for an understanding of how data is distributed across the standard deviation ranges from the mean in a normal distribution.
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