### Tables of Areas under the Normal CurveThis table displays the cumulative area under the standard normal curve from the mean (0) to a specific positive or negative z-value. It is commonly used in statistics to find the probability of a value falling within a particular range in a normal distribution.#### Explanation of the Table:- **Columns and Rows:** The table is organized with z-values along the leftmost column and the top row. Each cell in the table represents the cumulative area (probability) from the mean to that specific z-value.- **Z-Values:** Z-values range from -0.5 to 3.4, increasing incrementally by tenths. These values are used to measure the number of standard deviations away from the mean.- **Cumulative Areas:** The numbers inside the table represent the area under the normal distribution curve to the left of the corresponding z-value. This area is the probability of a value being less than the given z-value.**Example:**- For a z-value of 0.3, the table shows an area of approximately 0.6179, indicating a 61.79% probability that a value is less than 0.3 standard deviations above the mean.The color coding may provide a visual aid to distinguish different ranges of areas for instructional purposes. The table is designed to facilitate quick lookup and interpretation of probabilities in statistical analyses. **Educational Website Content: Understanding the Standard Normal Distribution**---**Find the Z-Score for a Specific Right Tail Area**To determine the Z-score such that the area under the standard normal curve to the right is 0.15, follow these steps:1. **Consult the Z-Table**: Use the standard normal distribution table that provides the cumulative left-tail probabilities for various Z-scores.2. **Determine the Right Tail Area**: The right tail area is given as 0.15. Therefore, the left tail area is 1 - 0.15 = 0.85.3. **Locate the Left Tail Area in the Table**: Scan the table to find the closest probability value to 0.85.4. **Identify the Corresponding Z-Score**: Once you locate the probability, note the Z-score that corresponds to this left tail area.5. **Example Calculation**: The approximate Z-score for a left tail area of 0.85 (right tail area of 0.15) is about 1.04 (always round to two decimal places as needed).**Table of Areas Under the Normal Curve**The table shown is structured with Z-scores in the leftmost column and corresponding cumulative probabilities across the top. Each cell in the table provides the left-tail cumulative probability for the intersection of a row Z-score and a column value.- **Graphical Representation**: The diagram at the top-left illustrates the standard normal distribution curve with a shaded area representing the cumulative probability up to a specific Z-score.This information aids in converting between Z-scores and probabilities, critical for statistical analyses such as hypothesis testing and confidence interval calculations.**Interactive Elements**- Use the table viewer to explore and examine different Z-score probabilities.- Utilize the "Print" and "Done" buttons as needed for further analysis or submission.---This guide offers a clear path to understanding and utilizing the standard normal distribution table in statistical contexts.

Find the Z-score such that the area under the standard normal curve to the right is 0.15. Click the icon to view a table of areas under the normal curve. The approximate Z-score that corresponds to a right tail area of 0.15 is (Round to two decimal places as needed.)

Find the Z-score such that the area under the standard normal curve to the right is 0.15. Click the icon to view a table of areas under the normal curve. The approximate Z-score that corresponds to a right tail area of 0.15 is (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 11MCQ

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