Answered: If an original claim for some aspect of…

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 1. If an original claim for some aspect of a population is µ = 5.00, the test statistic is t = +1.80, and the critical values are CV = –1.69, +1.69, would you reject or fail to reject the null hypothesis? (Pick one and justify your answer.)

Question 2. If an original claim for a population is µ = 5.00 and the data leads to the initial conclusion to fail to reject the null hypothesis, which of the following is a correct statement of the final conclusion?

There is sufficient evidence to warrant rejection of the claim that the mean is 5.00
The sample data support the claim that the mean is 5.00.
There is not sufficient evidence to warrant rejection of the claim that the mean is 5.00.
There is not sufficient sample evidence to support the claim that the mean is 5.00.

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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