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Name: 1. The Barbadian Education Ministy in a recent publication claims that
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 1. The Barbadian Education Ministy in a recent publication claims that the mean score for grade 8 students on a math achievement test is more than 120. You randomly select 36 test scores. The results are listed below. 188 80 175 195 201 143 119 81 11

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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1. The Barbadian Education Ministy in a recent publication claims that the mean score for grade 8 students on a math achievement test is more than 120. You randomly select 36 test scores. The results are listed below.

188 80 175 195 201 143 119 81 118 119 165 222 109 134 200 110 199 181

55 126 124 205 90 120 216 167 198 183 173 187 143 166 147 219 206 97

a. Would your conclusion change at the 10% level of significance?

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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