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This graph provides the lower tail probabilities for the standard normal distribution. Change the value of z or p in the boxes below to update the graph. When you change one value the other value will update automatically. Observe how the shaded area in the lower tail changes with different values of z or p. 2: -1.645 p: 0.05 p=0.05 2 .586 .893 -1.645 What is the z-score for an upper-tail probability of .10? -1.645 -1.96 1.282 -2.33 What is the probability for the region -1.75 sz s 1.5? .973 .613 0 Created by Gary H. McClelland, Professor Emeritus | University of Colorado Boulder ⒸCengage Learning. All Rights Reserved.

This graph provides the lower tail probabilities for the standard normal distribution. Change the value of z or p in the boxes below to update the graph. When you change one value the other value will update automatically. Observe how the shaded area in the lower tail changes with different values of z or p. 2: -1.645 p: 0.05 p=0.05 2 .586 .893 -1.645 What is the z-score for an upper-tail probability of .10? -1.645 -1.96 1.282 -2.33 What is the probability for the region -1.75 sz s 1.5? .973 .613 0 Created by Gary H. McClelland, Professor Emeritus | University of Colorado Boulder ⒸCengage Learning. All Rights Reserved.

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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### Conceptual Overview: Compute and visualize probabilities for the standard normal distribution using numerical inputs for z and p. This graph provides the lower tail probabilities for the standard normal distribution. Change the value of z or p in the boxes below to update the graph. When you change one value, the other value will update automatically. Observe how the shaded area in the lower tail changes with different values of z or p. #### Input Fields: - **z:** -1.645 - **p:** 0.05 #### Graph Explanation: The graph is a standard normal distribution curve (bell curve) centered at 0. The x-axis ranges from approximately -3 to 3. The shaded area on the left side of the curve represents the lower tail probability which corresponds to p = 0.05. The z-score at the edge of the shaded region is marked as -1.645. #### Questions: 1. **What is the z-score for an upper-tail probability of .10?** - a. 1.645 - b. 1.96 - c. 1.282 - d. 2.33 - **Selected Answer:** d 2. **What is the probability for the region -1.75 ≤ z ≤ 1.5?** - a. .973 - b. .613 - c. .586 - d. .893 - **Selected Answer:** d #### Authors and Credits: - **Created by:** Gary H. McClelland, Professor Emeritus, University of Colorado Boulder - **© Cengage Learning. All Rights Reserved.**
Transcribed Image Text:### Conceptual Overview: Compute and visualize probabilities for the standard normal distribution using numerical inputs for z and p. This graph provides the lower tail probabilities for the standard normal distribution. Change the value of z or p in the boxes below to update the graph. When you change one value, the other value will update automatically. Observe how the shaded area in the lower tail changes with different values of z or p. #### Input Fields: - **z:** -1.645 - **p:** 0.05 #### Graph Explanation: The graph is a standard normal distribution curve (bell curve) centered at 0. The x-axis ranges from approximately -3 to 3. The shaded area on the left side of the curve represents the lower tail probability which corresponds to p = 0.05. The z-score at the edge of the shaded region is marked as -1.645. #### Questions: 1. **What is the z-score for an upper-tail probability of .10?** - a. 1.645 - b. 1.96 - c. 1.282 - d. 2.33 - **Selected Answer:** d 2. **What is the probability for the region -1.75 ≤ z ≤ 1.5?** - a. .973 - b. .613 - c. .586 - d. .893 - **Selected Answer:** d #### Authors and Credits: - **Created by:** Gary H. McClelland, Professor Emeritus, University of Colorado Boulder - **© Cengage Learning. All Rights Reserved.**
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