Answered: The heights, in inches, of orangutans…

Name: The heights, in inches, of orangutans are normally distributed with a
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Description: The heights, in inches, of orangutans are normally distributed with a population standard deviation of 3 inches and an unknown population mean. If a random sample of 17 orangutans is taken and results in a sample mean of 57 inches, find the error bou

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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The heights, in inches, of orangutans are normally distributed with a population standard deviation of 3 inches and an unknown population mean. If a random sample of 17 orangutans is taken and results in a sample mean of 57 inches, find the error bound (EBM) of the confidence interval with a 95% confidence level.

z0.10	z0.05	z0.025	z0.01	z0.005
1.282	1.645	1.960	2.326	2.576

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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