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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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Question

Suppose we are interested in calculating a 95% confidence interval for the mean of a normally distributed population. We've drawn a sample of 8 observations from this population, and found a sample mean of 385.1 and a sample standard deviation of 35.0.

What is the appropriate lower endpoint of the 95% interval for mu? (e.g. If the interval is (3.712,9.674), give 3.712 as your response.)

(Give your response to at least 3 decimal places. Give only your numeric response, and no extra characters or symbols.)

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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