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Find the Z-score such that the area under the standard normal curve to the left is 0.52. Click the icon to view a table of areas under the normal curve. is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)

Find the Z-score such that the area under the standard normal curve to the left is 0.52. Click the icon to view a table of areas under the normal curve. is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)

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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**Problem:** Find the Z-score such that the area under the standard normal curve to the left is 0.52. __[Icon]__ Click the icon to view a table of areas under the normal curve. **Solution:** [ ] is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)
Transcribed Image Text:**Problem:** Find the Z-score such that the area under the standard normal curve to the left is 0.52. __[Icon]__ Click the icon to view a table of areas under the normal curve. **Solution:** [ ] is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)
### Understanding the Standard Normal Distribution Table #### Diagram Explanation The diagram on the left illustrates a bell-shaped curve representing the standard normal distribution. The shaded area under the curve indicates the probability corresponding to a specific \( z \)-value. The \( z \)-value refers to the number of standard deviations an element is from the mean. #### Table V: Standard Normal Distribution This table provides the cumulative probability from the left up to a given \( z \)-score for the standard normal distribution. The \( z \)-score represents how many standard deviations an element is from the mean. The table is organized as follows: - **Columns:** The columns represent the hundredths digit of the \( z \)-score from 0.00 to 0.09. - **Rows:** The rows show the tenths digit and integer portion of the \( z \)-score, ranging from -3.4 to -2.0. #### Partial Table Details - **\( z = -3.4 \):** - Probability values range from 0.0003 to 0.0002. - **\( z = -3.3 \):** - Probability values range from 0.0005 to 0.0003. - **\( z = -3.2 \):** - Probability values range from 0.0007 to 0.0005. - **\( z = -3.1 \):** - Probability values range from 0.0010 to 0.0007. - **\( z = -3.0 \):** - Probability values range from 0.0013 to 0.0010. The highlighted section helps locate values quickly within the \( z \)-scores from -2.9 to -2.5, providing detailed cumulative probabilities for these specific scores. Each probability value reflects the area under the curve from the left up to that \( z \)-score. This table is essential in statistics for calculating the likelihoods associated with different outcomes in a standard normal distribution.
Transcribed Image Text:### Understanding the Standard Normal Distribution Table #### Diagram Explanation The diagram on the left illustrates a bell-shaped curve representing the standard normal distribution. The shaded area under the curve indicates the probability corresponding to a specific \( z \)-value. The \( z \)-value refers to the number of standard deviations an element is from the mean. #### Table V: Standard Normal Distribution This table provides the cumulative probability from the left up to a given \( z \)-score for the standard normal distribution. The \( z \)-score represents how many standard deviations an element is from the mean. The table is organized as follows: - **Columns:** The columns represent the hundredths digit of the \( z \)-score from 0.00 to 0.09. - **Rows:** The rows show the tenths digit and integer portion of the \( z \)-score, ranging from -3.4 to -2.0. #### Partial Table Details - **\( z = -3.4 \):** - Probability values range from 0.0003 to 0.0002. - **\( z = -3.3 \):** - Probability values range from 0.0005 to 0.0003. - **\( z = -3.2 \):** - Probability values range from 0.0007 to 0.0005. - **\( z = -3.1 \):** - Probability values range from 0.0010 to 0.0007. - **\( z = -3.0 \):** - Probability values range from 0.0013 to 0.0010. The highlighted section helps locate values quickly within the \( z \)-scores from -2.9 to -2.5, providing detailed cumulative probabilities for these specific scores. Each probability value reflects the area under the curve from the left up to that \( z \)-score. This table is essential in statistics for calculating the likelihoods associated with different outcomes in a standard normal distribution.
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