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In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where O represents the worst possible life and 10 represents the best possible life. The mean response was 5.2 with a standard deviation of 2.3. (a) What response represents the S93rd percentile? (b) What response represents the 60th percentile? (c) What response represents the first quartile? (a) The response that represents the 93rd percentile is (Round to two decimal places as needed.) (b) The response that represents the 60th 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.)

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where O represents the worst possible life and 10 represents the best possible life. The mean response was 5.2 with a standard deviation of 2.3. (a) What response represents the S93rd percentile? (b) What response represents the 60th percentile? (c) What response represents the first quartile? (a) The response that represents the 93rd percentile is (Round to two decimal places as needed.) (b) The response that represents the 60th 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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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 5.2 with a standard deviation of 2.3. (a) What response represents the 93rd percentile? (b) What response represents the 60th percentile? (c) What response represents the first quartile? (a) The response that represents the 93rd percentile is (Round to two decimal places as needed.) (b) The response that represents the 60th 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.) Question Viewer
Transcribed Image Text: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 5.2 with a standard deviation of 2.3. (a) What response represents the 93rd percentile? (b) What response represents the 60th percentile? (c) What response represents the first quartile? (a) The response that represents the 93rd percentile is (Round to two decimal places as needed.) (b) The response that represents the 60th 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.) Question Viewer
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Since the given measured score of happiness is obtained from the population, hence the measured score of happiness is claimed to be following the normal distribution, with the given mean of 5.2 (i.e., μ=5.2) and standard deviation of 2.3 (i.e., σ=2.3). Assuming a random score of happiness is represented by x, the z-score for the assumed score of happiness is: z=x-μσ.

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