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Name: To construct a confidence interval for the difference between two popu
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Description: To construct a confidence interval for the difference between two population means μ1−μ2, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n1≥30 and n2≥30.

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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To construct a confidence interval for the difference between two population means μ1−μ2, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n1≥30 and n2≥30.
Also, the samples must be randomly selected and independent.

The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries.

x1=$102,710,

n1=38,

and

σ1=$9305;

x2=$85,610,

n2=45,

and

σ2=$9320

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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