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(a) What response represents the 92nd percentile? (b) What response represents the 63rd percentile? (c) What response represents the first quartile? (a) The response that represents the 92nd percentile is (Round to two decimal places as needed.) (b) The response that represents the 63rd percentile is (Round to two decimal places as needed.) (c) The response that represents the first quartile is (Round to two decimal places as needed.) + Co || √₁ ₁ (0,0) More Time Remaining: 01:22:06 Next X

(a) What response represents the 92nd percentile? (b) What response represents the 63rd percentile? (c) What response represents the first quartile? (a) The response that represents the 92nd percentile is (Round to two decimal places as needed.) (b) The response that represents the 63rd percentile is (Round to two decimal places as needed.) (c) The response that represents the first quartile is (Round to two decimal places as needed.) + Co || √₁ ₁ (0,0) More Time Remaining: 01:22:06 Next X

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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### World Happiness Study: Understanding Percentiles In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.8 with a standard deviation of 2.3. #### Questions: (a) What response represents the 92nd percentile? (b) What response represents the 63rd percentile? (c) What response represents the first quartile? *For each question, round your answer to two decimal places as needed.* --- #### Answer Section: (a) The response that represents the 92nd percentile is _____ (Round to two decimal places as needed.) (b) The response that represents the 63rd percentile is _____ (Round to two decimal places as needed.) (c) The response that represents the first quartile is _____ (Round to two decimal places as needed.) --- The study provides valuable insights into the overall happiness levels of the participants, which can be analyzed using the mean and standard deviation provided. By calculating the percentiles and quartiles, researchers can better understand the distribution of happiness responses in the population. ### Instructions: 1. **Calculate Percentiles and Quartiles:** - Use the mean (5.8) and standard deviation (2.3) provided to determine the specific responses for the requested percentiles and quartiles. - Percentile calculations involve determining the value below which a given percentage of observations fall. For example, the 92nd percentile indicates that 92% of the responses fall below this value. - Quartile calculations partition data into quarters; the first quartile (Q1) is the median of the lower half of the dataset, representing the 25th percentile. 2. **Formulae and Steps:** - Use relevant statistical formulae such as the z-score formula for percentile calculations: \[ X = \mu + (Z \times \sigma) \] Here, \( X \) is the response, \( \mu \) is the mean, \( Z \) is the z-score for the desired percentile, and \( \sigma \) is the standard deviation. - Refer to standard z-tables for determining z-scores corresponding to the percentiles. 3. **Input Your Answers:** - For each query, input the calculated value, ensuring it is rounded to
Transcribed Image Text:### World Happiness Study: Understanding Percentiles In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.8 with a standard deviation of 2.3. #### Questions: (a) What response represents the 92nd percentile? (b) What response represents the 63rd percentile? (c) What response represents the first quartile? *For each question, round your answer to two decimal places as needed.* --- #### Answer Section: (a) The response that represents the 92nd percentile is _____ (Round to two decimal places as needed.) (b) The response that represents the 63rd percentile is _____ (Round to two decimal places as needed.) (c) The response that represents the first quartile is _____ (Round to two decimal places as needed.) --- The study provides valuable insights into the overall happiness levels of the participants, which can be analyzed using the mean and standard deviation provided. By calculating the percentiles and quartiles, researchers can better understand the distribution of happiness responses in the population. ### Instructions: 1. **Calculate Percentiles and Quartiles:** - Use the mean (5.8) and standard deviation (2.3) provided to determine the specific responses for the requested percentiles and quartiles. - Percentile calculations involve determining the value below which a given percentage of observations fall. For example, the 92nd percentile indicates that 92% of the responses fall below this value. - Quartile calculations partition data into quarters; the first quartile (Q1) is the median of the lower half of the dataset, representing the 25th percentile. 2. **Formulae and Steps:** - Use relevant statistical formulae such as the z-score formula for percentile calculations: \[ X = \mu + (Z \times \sigma) \] Here, \( X \) is the response, \( \mu \) is the mean, \( Z \) is the z-score for the desired percentile, and \( \sigma \) is the standard deviation. - Refer to standard z-tables for determining z-scores corresponding to the percentiles. 3. **Input Your Answers:** - For each query, input the calculated value, ensuring it is rounded to
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