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0.68 (d) 25th (e) 10th

0.68 (d) 25th (e) 10th

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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### Understanding Percentiles in the Standard Normal Distribution In this exercise, you are asked to find the percentiles for the standard normal distribution and interpolate where appropriate. Your answers should be rounded to two decimal places. #### Problem Statement: Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.) **Exercise Components:** 1. **71st percentile**: 0.55 ✔️ 2. **29th percentile**: -0.55 ✔️ 3. **75th percentile**: 0.68 ✔️ 4. **25th percentile**: 5. **10th percentile**: To find these percentiles, use statistical tables or tools such as the **"USE SALT"** button, which will assist in navigating the standard normal distribution. #### Completed Answers: - **(a) 71st percentile**: The Z-score corresponding to the 71st percentile is **0.55**. - **(b) 29th percentile**: The Z-score corresponding to the 29th percentile is **-0.55**. - **(c) 75th percentile**: The Z-score corresponding to the 75th percentile is **0.68**. - **(d) 25th percentile**: (Pending calculation) - **(e) 10th percentile**: (Pending calculation) #### Instructions: For parts (d) and (e), you need to find the Z-scores that correspond to the given percentiles. Utilize standard normal distribution tables, calculators, or statistical software tools to determine these values. --- When working with percentiles in the standard normal distribution, you may refer to Z-tables or use statistical software to precisely locate the Z-scores. Understanding these concepts will allow you to interpret data based on its distribution very effectively.
Transcribed Image Text:### Understanding Percentiles in the Standard Normal Distribution In this exercise, you are asked to find the percentiles for the standard normal distribution and interpolate where appropriate. Your answers should be rounded to two decimal places. #### Problem Statement: Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.) **Exercise Components:** 1. **71st percentile**: 0.55 ✔️ 2. **29th percentile**: -0.55 ✔️ 3. **75th percentile**: 0.68 ✔️ 4. **25th percentile**: 5. **10th percentile**: To find these percentiles, use statistical tables or tools such as the **"USE SALT"** button, which will assist in navigating the standard normal distribution. #### Completed Answers: - **(a) 71st percentile**: The Z-score corresponding to the 71st percentile is **0.55**. - **(b) 29th percentile**: The Z-score corresponding to the 29th percentile is **-0.55**. - **(c) 75th percentile**: The Z-score corresponding to the 75th percentile is **0.68**. - **(d) 25th percentile**: (Pending calculation) - **(e) 10th percentile**: (Pending calculation) #### Instructions: For parts (d) and (e), you need to find the Z-scores that correspond to the given percentiles. Utilize standard normal distribution tables, calculators, or statistical software tools to determine these values. --- When working with percentiles in the standard normal distribution, you may refer to Z-tables or use statistical software to precisely locate the Z-scores. Understanding these concepts will allow you to interpret data based on its distribution very effectively.
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