Independent random samples were selected from populations 1 and 2. Thesample sizes, means, and variances are as follows: Population 1 2Sample Size 35 49Sample Mean 12.7 7.4Sample Variance 1.38 4.14 Find a 95% confidence interval for estimating the difference in thepopulation means (μ1 - μ1)

Given data population 1 2 sample size 35 49 sample mean 12.7…

Answered: Independent random samples were…

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

Independent random samples were selected from populations 1 and 2. The
sample sizes, means, and variances are as follows:

	Population
	1	2
Sample Size	35	49
Sample Mean	12.7	7.4
Sample Variance	1.38	4.14

Find a 95% confidence interval for estimating the difference in the
population means (μ₁ - μ₁)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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