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0.0212 0.0212 z=? z=?

0.0212 0.0212 z=? z=?

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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Find the indicated​ z-scores shown in the attached graph. What are the z scores? Separate by comma. (Value in graph 0.0212)
The image depicts a standard normal distribution curve, which is a symmetric, bell-shaped curve centered at zero on the horizontal axis. This distribution is used in statistics to represent data that clusters around a mean. Key features of the graph: - **Curve**: The blue curve represents the standard normal distribution, showing probabilities that any given data point will fall within a particular range on the horizontal axis (z-scores). - **Shaded Areas**: On both the left and right tails of the curve, there are shaded regions. These regions indicate where z-scores fall that deviate significantly from the mean. Each shaded area represents a probability of 0.0212. This probability indicates the likelihood that a value would fall below or above a particular z-score threshold in a standard normal distribution. - **Z-scores**: The points on the horizontal axis marked as "z=?" correspond to the boundaries of the shaded regions and are where these thresholds are located. These z-scores can be found using standard normal distribution tables or calculators that provide critical values. The graph illustrates the concept of critical values in a normal distribution, which can be important for statistical testing, such as determining outliers or setting confidence intervals.
Transcribed Image Text:The image depicts a standard normal distribution curve, which is a symmetric, bell-shaped curve centered at zero on the horizontal axis. This distribution is used in statistics to represent data that clusters around a mean. Key features of the graph: - **Curve**: The blue curve represents the standard normal distribution, showing probabilities that any given data point will fall within a particular range on the horizontal axis (z-scores). - **Shaded Areas**: On both the left and right tails of the curve, there are shaded regions. These regions indicate where z-scores fall that deviate significantly from the mean. Each shaded area represents a probability of 0.0212. This probability indicates the likelihood that a value would fall below or above a particular z-score threshold in a standard normal distribution. - **Z-scores**: The points on the horizontal axis marked as "z=?" correspond to the boundaries of the shaded regions and are where these thresholds are located. These z-scores can be found using standard normal distribution tables or calculators that provide critical values. The graph illustrates the concept of critical values in a normal distribution, which can be important for statistical testing, such as determining outliers or setting confidence intervals.
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