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Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The indicated IQ score, x, is (Round to one decimal place as needed.) 0.99 X O O P

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The indicated IQ score, x, is (Round to one decimal place as needed.) 0.99 X O O P

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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**Positive z Scores** **Standard Normal (z) Distribution: Cumulative Area from the LEFT** This table provides the cumulative area from the left for standard normal (z) distribution scores. The values in the table represent the probability that a standard normal random variable is less than or equal to a given z-score. **Table Explanation:** - The first column represents the integer and first decimal place of the z-score. - The first row denotes the second decimal place of the z-score. - The intersecting cell value represents the cumulative probability from the left. **Example:** - A z-score of 0.53 would be found by locating row 0.5 and column 0.03, resulting in a cumulative probability of 0.7019. **Graph Explanation:** - The graph above the table illustrates a standard normal distribution curve, with the shaded area representing the cumulative area from the left for positive z-scores. **NOTE:** - For z-scores above 3.49, use 0.9999 for the cumulative probability. **Common Critical Values:** - Confidence Level: 90% corresponds to a Critical Value (z) of 1.645 - Confidence Level: 95% corresponds to a Critical Value (z) of 1.960 - Confidence Level: 99% corresponds to a Critical Value (z) of 2.575 These values are essential for conducting hypothesis tests and calculating confidence intervals in statistics.
Transcribed Image Text:**Positive z Scores** **Standard Normal (z) Distribution: Cumulative Area from the LEFT** This table provides the cumulative area from the left for standard normal (z) distribution scores. The values in the table represent the probability that a standard normal random variable is less than or equal to a given z-score. **Table Explanation:** - The first column represents the integer and first decimal place of the z-score. - The first row denotes the second decimal place of the z-score. - The intersecting cell value represents the cumulative probability from the left. **Example:** - A z-score of 0.53 would be found by locating row 0.5 and column 0.03, resulting in a cumulative probability of 0.7019. **Graph Explanation:** - The graph above the table illustrates a standard normal distribution curve, with the shaded area representing the cumulative area from the left for positive z-scores. **NOTE:** - For z-scores above 3.49, use 0.9999 for the cumulative probability. **Common Critical Values:** - Confidence Level: 90% corresponds to a Critical Value (z) of 1.645 - Confidence Level: 95% corresponds to a Critical Value (z) of 1.960 - Confidence Level: 99% corresponds to a Critical Value (z) of 2.575 These values are essential for conducting hypothesis tests and calculating confidence intervals in statistics.
**Transcription for Educational Website** **Find the Indicated IQ Score** The graph on the right depicts IQ scores of adults, which are normally distributed with a mean of 100 and a standard deviation of 15. - [Click to view page 1 of the table.](#) - [Click to view page 2 of the table.](#) --- **Diagram Description:** The graph is a normal distribution curve (bell curve) with an area shaded under the curve representing an IQ score with a cumulative probability of 0.99. The shaded area indicates the probability of an IQ score being less than or equal to a certain value \(x\). --- **Question:** The indicated IQ score, \(x\), is _____ (Round to one decimal place as needed.)
Transcribed Image Text:**Transcription for Educational Website** **Find the Indicated IQ Score** The graph on the right depicts IQ scores of adults, which are normally distributed with a mean of 100 and a standard deviation of 15. - [Click to view page 1 of the table.](#) - [Click to view page 2 of the table.](#) --- **Diagram Description:** The graph is a normal distribution curve (bell curve) with an area shaded under the curve representing an IQ score with a cumulative probability of 0.99. The shaded area indicates the probability of an IQ score being less than or equal to a certain value \(x\). --- **Question:** The indicated IQ score, \(x\), is _____ (Round to one decimal place as needed.)
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