**Understanding the Normal Distribution for Adult Male Heights****Normal Distribution Curve**:The provided diagram is a bell-shaped curve representing the normal distribution of adult male heights. The horizontal axis displays height measurements in inches while the vertical axis shows the frequency of occurrences.The central peak of the bell curve represents the mean (average) height, and the curve is symmetrically distributed around the mean. Sections of the curve are divided by standard deviations:- **68% Region**: This region is within one standard deviation of the mean, marked by the central light blue area.- **95% Region**: This area encompasses two standard deviations from the mean, indicated by the darker blue area.- **99% Region**: This area covers three standard deviations from the mean, highlighted by the darkest blue areas.The marked heights on the curve are:- 61.5 inches- 64 inches- 66.5 inches- 69 inches (mean height)- 71.5 inches- 74 inches- 76.5 inches**Questions and Problem Solving**:a. **Mean Height**: What is the mean (average) height of a male? - The mean height is indicated at the center of the curve: **69 inches**.b. **Height of 71.5 inches**: A man who stands 71.5 inches tall is __ standard deviations (choose one: above/below) the mean. - This is a z-score of __. - Since 71.5 inches is marked as one standard deviation above the mean, this man is **1 standard deviation above the mean**. - The z-score is **1**.c. **Height of 64 inches**: A man who stands 64 inches tall is __ standard deviations (above/below) the average of __ inches. - This is a z-score of __. - Since 64 inches is marked as one standard deviation below the mean, this man is **1 standard deviation below the mean**. - The z-score is **-1**.

Here, we have given the normal curve and some other following information are given. Then, we have…

Answered: Use the normal distribution for Adult…

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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Calculate the standard deviation for the following set of scores: 18, 22, 26, 22, 34, 7, 18. (Use n-1 as the denominator in your calculations.) The standard deviation for this data is: Group of answer choices
The amount of caffeine in a sample of five-ounce servings of brewed coffee is shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Click the icon to view the histogram. Graph/chart Midpoint x xt Ay 30+ 2 70.5 141 24 14 92.5 1295 25- 24 114.5 2748 20- 7 136.5 955.5 14 15- 3 158.5 475.5 10- 7 ΣΤ- 50 Exf = 5615 5- Find the mean of the data set. 48.5 70.5 92.5 114.5 136.5 158.5 x = 112.3 (Round to the nearest tenth as needed.) Complete the table. Round values to the nearest tenth as needed. Midpoint x (x-x)? (x-x)?f Print Done X-X 70.5 - 41.8 1747.2 3494.5 92.5 1295 85556.3 119787.5
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The coefficient of variation CV describes the standard deviation as a percent of the mean. Because it has no units, you can use the coefficient of variation to compare data with different units. Find the coefficient of variation for each sample data set. What can you conclude? Standard deviation CV = • 100% Mean E Click the icon to view the data sets. Data Table ..... CVneights = 71.2% (Round to the nearest tenth as needed.) Heights Weights 68 181 77 169 72 167 72 207 71 177 70 175 78 185 69 186 67 221 70 216 67 209 73 206
The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 1212, 1818, 2323, 1414, 1515, 1818, 1919, 1616, 1313, 1616 The range is 1111. (Simplify your answer.) The mean is 16.416.4. (Simplify your answer. Round to the nearest tenth as needed.) The variance is nothing. (Simplify your answer. Round to the nearest hundredth as needed.) The standard deviation is nothing. (Simplify your answer. Round to the nearest tenth as needed.)
(N ***. For the data shown, answer the questions. Round to 4 decimal places where possible. 28.5 28.8 18.7 12.9 1.5 26.7 Find the mean: Find the median: Find the standard deviation: Focus 33 words English (United States) - 三

Students in a class took a test whose results were normally distributed. The mean score was an 81 and the standard deviation was 4.5. What score is at the 83rd percentile (round to the nearest whole number.) a.84 b.83 c.85 d.86
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The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates. Use the frequency distribution to approximate the population mean and population standard deviation. Compare these results to the actual mean u = $1.506 and standard deviation o = $1.004. Click the icon to view the frequency distribution for the tax rates. Frequency distribution of cigarette tax rates Tax Rate Frequency 0.00–0.49 7 0.50-0.99 14 1.00–1.49 7 1.50–1.99 2.00–2.49 5 2.50–2.99 5 3.00–3.49 3.50–3.99 1 4.00-4.49 1
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