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Name: In a certain population of chicken eggs, the distribution of eggshell
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Description: In a certain population of chicken eggs, the distribution of eggshell thickness is Normally distributed with a population standard deviation of 0.03 mm. A simple random sample of size 20 is selected from this population and a sample mean of 0.43 is c

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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In a certain population of chicken eggs, the distribution of eggshell thickness is Normally distributed with a population standard deviation of 0.03 mm. A simple random sample of size 20 is selected from this population and a sample mean of 0.43 is calculated.
(a) Describe what the parameter ? represents. For full credit, use the context of the given problem.
(b) Calculate a level 90% confidence interval for ?. Round to two decimal places.
(c) ] Give a practical interpretation for this confidence interval using the context of thisproblem.
(d) Explain what 90% confidence means.

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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