**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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Please see information below for the details of the question. It is asking for the z-score for Pepper. Chihuahuas have a mean weight of 5.2 pounds, with a standard deviation of 1.2 pounds. German Shepherds have a mean weight of 78 pounds, with a standard deviation of 15 pounds. Suzie’s Chihuahua, Rey, weighs 8.0 pounds. Noel’s German Shepherd, Pepper, weighs 47 pounds. What is the z-score for Pepper? Round your answer to 2 decimal places.

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