I am working on a problem with this formula. Does it matter what sample mean is first? I got two vary different answers when I swapped them. FYI just in case, both times a negative number of the answer was on the left, and a positive version of it was on the right, just wanted to say in case this helped. 288ConfidenceInterval forμ₁ − μ₂, 0² = 0²/2-but BothUnknownChapter 9 One- and Two-Sample Estimation ProblemsIf ₁ and 2 are the means of independent random samples of sizes n₁ and n2,respectively, from approximately normal populations with unknown but equalvariances, a 100(1 - a)% confidence interval for µ₁ − μ₂ is given by11(₁ - ₂) - ta/28p√ + < µ1 − µ2 < (T1 − ☎₂2) +ta/28p√√√7₁ + 21 1n1 n2n1 n2where sp is the pooled estimate of the population standard deviation and to/2is the t-value with v = n₁ + N₂ 2 degrees of freedom, leaving an area of a/2to the right.

The objective is to interpret the CI for the diffrence between the two population mean. It is…

Answered: 288 Confidence Interval for μ₁ −μ₂, 0²…

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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I am working on a problem with this formula. Does it matter what sample mean is first? I got two vary different answers when I swapped them.

FYI just in case, both times a negative number of the answer was on the left, and a positive version of it was on the right, just wanted to say in case this helped.

288
Confidence
Interval for
μ₁ − μ₂, 0² = 0²/2
-
but Both
Unknown
Chapter 9 One- and Two-Sample Estimation Problems
If ₁ and 2 are the means of independent random samples of sizes n₁ and n2,
respectively, from approximately normal populations with unknown but equal
variances, a 100(1 - a)% confidence interval for µ₁ − μ₂ is given by
1
1
(₁ - ₂) - ta/28p√ + < µ1 − µ2 < (T1 − ☎₂2) +ta/28p√√√7₁ + 2
1 1
n1 n2
n1 n2
where sp is the pooled estimate of the population standard deviation and to/2
is the t-value with v = n₁ + N₂ 2 degrees of freedom, leaving an area of a/2
to the right.

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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