Answered: t is of interest to determine if the…

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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It is of interest to determine if the average drying time of a certain brand of latex paint is not 4.5 hours. To do this, 15 cans of the branded latex paint were selected.

Normality test of drying time of the branded latex paint:

Shapiro-Wilk normality test

data: drying time

W = 0.9691, p-value = 0.1396

Which of the following is the most appropriate test to use to determine if the average drying time of a certain brand of latex paint is not 4.5 hours?

Choices:

A. Approximate Z-test on one population proportion

B. Wilcoxon signed-rank test

C. t-test on one population mean

D. Chi-square test on variance

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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