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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.04 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.6? Please do not round your answer. Answer How to enter your answer (opens in new window) % Tables Keypad Keyboard Shortcuts

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.04 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.6? Please do not round your answer. Answer How to enter your answer (opens in new window) % Tables Keypad Keyboard Shortcuts

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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**Consider a Problem in Statistics: Understanding Shoe Size Distribution** In this problem, we will explore the distribution of American women's shoe sizes, which follows a bell-shaped curve known as a normal distribution. The mean (average) shoe size is 8.04, with a standard deviation of 1.52. **Question:** Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.6? Do not round your answer. **Guidance for Answering:** 1. **Empirical Rule**: The empirical rule (68-95-99.7 rule) helps us understand how data is distributed in a normal distribution. - About 68% of the data falls within one standard deviation of the mean. - Approximately 95% falls within two standard deviations. - Roughly 99.7% is within three standard deviations. 2. **Calculation**: - Calculate how many standard deviations 12.6 is away from the mean. - Use the empirical rule to determine the percentage of data below this value. **Answer Box**: Enter your calculated percentage in the box provided. **Additional Tools**: - **Tables** and **Keypad** options are available for assistance. - A link for "How to enter your answer" is provided for guidance. **Submission**: Input your answer and click "Submit Answer." **Timestamp**: October 3, 12:18 (noon). Explore this problem by applying your statistical knowledge and see how empirical data applies to real-world scenarios!
Transcribed Image Text:**Consider a Problem in Statistics: Understanding Shoe Size Distribution** In this problem, we will explore the distribution of American women's shoe sizes, which follows a bell-shaped curve known as a normal distribution. The mean (average) shoe size is 8.04, with a standard deviation of 1.52. **Question:** Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.6? Do not round your answer. **Guidance for Answering:** 1. **Empirical Rule**: The empirical rule (68-95-99.7 rule) helps us understand how data is distributed in a normal distribution. - About 68% of the data falls within one standard deviation of the mean. - Approximately 95% falls within two standard deviations. - Roughly 99.7% is within three standard deviations. 2. **Calculation**: - Calculate how many standard deviations 12.6 is away from the mean. - Use the empirical rule to determine the percentage of data below this value. **Answer Box**: Enter your calculated percentage in the box provided. **Additional Tools**: - **Tables** and **Keypad** options are available for assistance. - A link for "How to enter your answer" is provided for guidance. **Submission**: Input your answer and click "Submit Answer." **Timestamp**: October 3, 12:18 (noon). Explore this problem by applying your statistical knowledge and see how empirical data applies to real-world scenarios!
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