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In a certain study, women's heights are found to be approximately normally distributed with a mean of 62 inches and a standard deviation of 2.5 inches. a. What would be the z-score for a woman who is 5 feet tall? b. What percentage of women is she taller than? Click the icon to view a table of z-scores and percentiles. a. The z-score for the woman's height is (Round to one decimal place as needed.) b. She is taller than % of women. (Round to two decimal places as needed.) ***

In a certain study, women's heights are found to be approximately normally distributed with a mean of 62 inches and a standard deviation of 2.5 inches. a. What would be the z-score for a woman who is 5 feet tall? b. What percentage of women is she taller than? Click the icon to view a table of z-scores and percentiles. a. The z-score for the woman's height is (Round to one decimal place as needed.) b. She is taller than % of women. (Round to two decimal places as needed.) ***

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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**Study of Women's Heights** In a certain study, women's heights are found to be approximately normally distributed with a mean of 62 inches and a standard deviation of 2.5 inches. **Questions:** a. What would be the z-score for a woman who is 5 feet tall? b. What percentage of women is she taller than? _Click the icon to view a table of z-scores and percentiles._ --- **Calculations:** a. The z-score for the woman's height is [ ]. *(Round to one decimal place as needed.)* b. She is taller than [ ]% of women. *(Round to two decimal places as needed.)*
Transcribed Image Text:**Study of Women's Heights** In a certain study, women's heights are found to be approximately normally distributed with a mean of 62 inches and a standard deviation of 2.5 inches. **Questions:** a. What would be the z-score for a woman who is 5 feet tall? b. What percentage of women is she taller than? _Click the icon to view a table of z-scores and percentiles._ --- **Calculations:** a. The z-score for the woman's height is [ ]. *(Round to one decimal place as needed.)* b. She is taller than [ ]% of women. *(Round to two decimal places as needed.)*
**Table of Z-scores and Percentiles** This table provides the relationship between z-scores and their corresponding percentiles. Z-scores represent the number of standard deviations a data point is from the mean in a standard normal distribution. Percentiles indicate the percentage of data points below the given z-score. | Z-score | Percentile | Z-score | Percentile | Z-score | Percentile | |---------|------------|---------|------------|---------|------------| | -4.0 | 0.003 | -1.00 | 15.87 | 0.00 | 50.00 | | -3.5 | 0.02 | -0.95 | 17.11 | 0.05 | 51.99 | | -3.0 | 0.13 | -0.90 | 18.41 | 0.10 | 53.98 | | -2.9 | 0.19 | -0.85 | 19.77 | 0.15 | 55.96 | | -2.8 | 0.26 | -0.80 | 21.19 | 0.20 | 57.93 | | -2.7 | 0.35 | -0.75 | 22.66 | 0.25 | 59.87 | | -2.6 | 0.47 | -0.70 | 24.20 | 0.30 | 61.79 | | -2.5 | 0.62 | -0.65 | 25.78 | 0.35 | 63.68 | | -2.4 | 0.82 | -0.60 | 27.43 | 0.40 | 65.54 | | -2.3 | 1.07 | -0.55 | 29.12 | 0.45 | 67.36 | | -2.2 | 1.39 | -0.50 | 30.85 | 0.50 | 69.15 |
Transcribed Image Text:**Table of Z-scores and Percentiles** This table provides the relationship between z-scores and their corresponding percentiles. Z-scores represent the number of standard deviations a data point is from the mean in a standard normal distribution. Percentiles indicate the percentage of data points below the given z-score. | Z-score | Percentile | Z-score | Percentile | Z-score | Percentile | |---------|------------|---------|------------|---------|------------| | -4.0 | 0.003 | -1.00 | 15.87 | 0.00 | 50.00 | | -3.5 | 0.02 | -0.95 | 17.11 | 0.05 | 51.99 | | -3.0 | 0.13 | -0.90 | 18.41 | 0.10 | 53.98 | | -2.9 | 0.19 | -0.85 | 19.77 | 0.15 | 55.96 | | -2.8 | 0.26 | -0.80 | 21.19 | 0.20 | 57.93 | | -2.7 | 0.35 | -0.75 | 22.66 | 0.25 | 59.87 | | -2.6 | 0.47 | -0.70 | 24.20 | 0.30 | 61.79 | | -2.5 | 0.62 | -0.65 | 25.78 | 0.35 | 63.68 | | -2.4 | 0.82 | -0.60 | 27.43 | 0.40 | 65.54 | | -2.3 | 1.07 | -0.55 | 29.12 | 0.45 | 67.36 | | -2.2 | 1.39 | -0.50 | 30.85 | 0.50 | 69.15 |
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