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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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.
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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