Answered: Decide if the following statement are…

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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Decide if the following statement are true or false. If the statement is false, please correct it.

1. There are only two possible conclusions for a hypothesis test. Reject H₁ or Fail to Reject H₁_.

_2.The level of significance is denoted by ?σ (sigma) and is equal to 1 – C, the level of confidence.

3. The sample mean is denoted by ?μ and is a point estimate for the population mean.

4. The sample size for a one sample t-test for the mean is denoted by n, and the degrees of freedom is equal to n – 1.

6.The goodness of fit test follows a distribution that is skewed right and uses a t test statistic.

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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