The time to complete an exam is approximately Normal with a mean of 46 minutes and a standard deviation of 2 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-3σ μ-20 H-O H μ+O μ = 46 σ = 2 μ+2σ μ+3σ
The time to complete an exam is approximately Normal with a mean of 46 minutes and a standard deviation of 2 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-3σ μ-20 H-O H μ+O μ = 46 σ = 2 μ+2σ μ+3σ
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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Transcribed Image Text:The time to complete an exam is approximately Normal with a mean of 46 minutes and a standard deviation of 2 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.
The bell curve is a standard normal distribution, characterized by the highest frequency near the mean, tapering off as it moves away from the mean. The mean (\( \mu \)) is 46 minutes, and the standard deviation (\( \sigma \)) is 2 minutes.
The x-axis is marked as follows:
- \( \mu - 3\sigma \)
- \( \mu - 2\sigma \)
- \( \mu - \sigma \)
- \( \mu \)
- \( \mu + \sigma \)
- \( \mu + 2\sigma \)
- \( \mu + 3\sigma \)
These markings translate into the following values:
- \( \mu - 3\sigma = 40 \)
- \( \mu - 2\sigma = 42 \)
- \( \mu - \sigma = 44 \)
- \( \mu = 46 \)
- \( \mu + \sigma = 48 \)
- \( \mu + 2\sigma = 50 \)
- \( \mu + 3\sigma = 52 \)
Fill in these values in the indicated boxes under the bell curve.
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