Answered: Use the t-distribution to find a…

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

Use the t-distribution to find a confidence interval for a difference in means μ1−μ2μ1-μ2 given the relevant sample results. Give the best estimate for μ1−μ2μ1-μ2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed.

A 95% confidence interval for μ1−μ2μ1-μ2 using the sample results x⎯⎯1=515x¯1=515, s1=136s1=136, n1=300n1=300 and x⎯⎯2=462x¯2=462, s2=94s2=94, n2=200n2=200

Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places.

Best estimate = Enter your answer; Best estimate

Margin of error = Enter your answer; Margin of error

Confidence interval : Enter your answer; Confidence interval, value 1 to Enter your answer; Confidence interval, value 2

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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