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Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.0072. If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores. Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING...       z=enter your response here ​(Type an integer or decimal rounded to three decimal places as​ needed.)

Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.0072. If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores. Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING...       z=enter your response here ​(Type an integer or decimal rounded to three 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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Use the standard normal table to find the​ z-score that corresponds to the cumulative area
0.0072.
If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores.
Click to view page 1 of the standard normal table.
LOADING...
Click to view page 2 of the standard normal table.
LOADING...
 
 
 
z=enter your response here
​(Type an integer or decimal rounded to three decimal places as​ needed.)
### Standard Normal Distribution Table #### Critical Values This table is used to find the probabilities and critical values for the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. **Level of Confidence (c)**: - **0.80**: \( z_c = 1.28 \) - **0.90**: \( z_c = 1.645 \) - **0.95**: \( z_c = 1.96 \) - **0.99**: \( z_c = 2.575 \) #### Graphical Representation The image features two bell-shaped curves which represent the standard normal distribution. Both graphs show shaded areas under the curve, emphasizing the tails and peak that correspond to the critical values \( z_c \). The horizontal axis is labeled \( z \), showing the normal distribution centered at 0. #### Standard Normal Table Explanation **Columns/Rows:** - The table columns represent the hundredths place of the \( z \)-score (from .00 to .09), while the rows represent the integer and tenths place (from 0.0 to 3.4). - Each cell in the table indicates the area (probability) to the left of the corresponding \( z \)-score. **Example Usage:** To find the area to the left of \( z = 0.45 \): 1. Locate the row for \( z = 0.4 \). 2. Move across to the column for 0.05 (interpolating the hundredths place). 3. The intersection gives the probability value: 0.6736. This table is critical for statistical analyses that involve hypothesis testing, confidence intervals, and normal distribution approximations.
Transcribed Image Text:### Standard Normal Distribution Table #### Critical Values This table is used to find the probabilities and critical values for the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. **Level of Confidence (c)**: - **0.80**: \( z_c = 1.28 \) - **0.90**: \( z_c = 1.645 \) - **0.95**: \( z_c = 1.96 \) - **0.99**: \( z_c = 2.575 \) #### Graphical Representation The image features two bell-shaped curves which represent the standard normal distribution. Both graphs show shaded areas under the curve, emphasizing the tails and peak that correspond to the critical values \( z_c \). The horizontal axis is labeled \( z \), showing the normal distribution centered at 0. #### Standard Normal Table Explanation **Columns/Rows:** - The table columns represent the hundredths place of the \( z \)-score (from .00 to .09), while the rows represent the integer and tenths place (from 0.0 to 3.4). - Each cell in the table indicates the area (probability) to the left of the corresponding \( z \)-score. **Example Usage:** To find the area to the left of \( z = 0.45 \): 1. Locate the row for \( z = 0.4 \). 2. Move across to the column for 0.05 (interpolating the hundredths place). 3. The intersection gives the probability value: 0.6736. This table is critical for statistical analyses that involve hypothesis testing, confidence intervals, and normal distribution approximations.
--- ### Standard Normal Distribution #### Critical Values **Level of Confidence (c) and Critical Values (zc):** - 0.80: zc = 1.28 - 0.90: zc = 1.645 - 0.95: zc = 1.96 - 0.99: zc = 2.575 **Graphs Description:** Two bell-shaped curves are depicted, representing standard normal distributions. Both have a mean of zero (z = 0). The left graph highlights an area under the curve to the left of a specified z value. The right graph shows the critical z (zc) region for the positive side of the distribution, along with z = 0 at the center. #### Z Table The table provides probabilities associated with z-scores in a standard normal distribution. **Columns denote:** - The second decimal place of the z value. **Rows indicate:** - The first decimal place of the z value (ranging from -3.4 to 3.4 with increments of 0.1). **Table usage:** Find the intersection of a row and column to retrieve the probability for a specific z-value. **Example:** For z = -2.33 and second decimal = .03, locate row -2.3 and column .03 to find the value 0.0099. --- This standard normal table is a crucial statistical tool for understanding probabilities and making inferences in hypothesis testing.
Transcribed Image Text:--- ### Standard Normal Distribution #### Critical Values **Level of Confidence (c) and Critical Values (zc):** - 0.80: zc = 1.28 - 0.90: zc = 1.645 - 0.95: zc = 1.96 - 0.99: zc = 2.575 **Graphs Description:** Two bell-shaped curves are depicted, representing standard normal distributions. Both have a mean of zero (z = 0). The left graph highlights an area under the curve to the left of a specified z value. The right graph shows the critical z (zc) region for the positive side of the distribution, along with z = 0 at the center. #### Z Table The table provides probabilities associated with z-scores in a standard normal distribution. **Columns denote:** - The second decimal place of the z value. **Rows indicate:** - The first decimal place of the z value (ranging from -3.4 to 3.4 with increments of 0.1). **Table usage:** Find the intersection of a row and column to retrieve the probability for a specific z-value. **Example:** For z = -2.33 and second decimal = .03, locate row -2.3 and column .03 to find the value 0.0099. --- This standard normal table is a crucial statistical tool for understanding probabilities and making inferences in hypothesis testing.
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