Question #1n=100X=192.1 s=25.6A. Using the central limit theorem what is the likelihood of observing a sample mean as large as 192.1 if the true population mean is 191. B. Do you suppose that the null hypotheses (that there was no change from 2002) is likely true? Why or why not? Problem 1 Why test a hypothesis?Suppose the data collected turned out differently and we observed thefollowing-n 100- X-192.1- s=25.6A. Using the Central Limit Theorem what is the likelihood of observing asample mean as large as 192.1 if the true population mean is 191B. Do you suppose that the null hypothesis (that there was no change from2002) is likely true? Why or why not?

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Description: Question #1n=100X=192.1 s=25.6A. Using the central limit theorem what is the likelihood of observing a sample mean as large as 192.1 if the true population mean is 191. B. Do you suppose that the null hypotheses (that there was no change from 2002) i

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Answered: Problem 1 Why test a hypothesis?…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Question #1

n=100

X=192.1

s=25.6

A. Using the central limit theorem what is the likelihood of observing a sample mean as large as 192.1 if the true population mean is 191.

B. Do you suppose that the null hypotheses (that there was no change from 2002) is likely true? Why or why not?

Problem 1 Why test a hypothesis?
Suppose the data collected turned out differently and we observed the
following
-n 100
- X-192.1
- s=25.6
A. Using the Central Limit Theorem what is the likelihood of observing a
sample mean as large as 192.1 if the true population mean is 191
B. Do you suppose that the null hypothesis (that there was no change from
2002) is likely true? Why or why not?

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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