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Name: A math exam was given to all the third grade children attending ABC Sc
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Description: A math exam was given to all the third grade children attending ABC School. Two random samples of scores were taken.Which of the following correctly describes the results of a hypothesis test of the claim, “There is a difference between the mean scor

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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A math exam was given to all the third grade children attending ABC School. Two random samples of scores were taken.Which of the following correctly describes the results of a hypothesis test of the claim, “There is a difference between the mean scores obtained by third grade girls and boys at the 5% level of significance”?

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Do not reject H. There is insufficient evidence to conclude that there is a difference in the mean scores.

Do not reject H. There is sufficient evidence to conclude that there is a difference in the mean scores.

Reject H. There is insufficient evidence to conclude that there is no difference in the mean scores.

Reject H. There is sufficient evidence to conclude that there is a difference in the mean scores.

A math exam was given to all the third grade children attending ABC School. Two random samples of scores were taken.Which of
the following correctly describes the results of a hypothesis test of the claim, "There is a difference between the mean scores
obtained by third grade girls and boys at the 5% level of significance"?
Boys 55 82
Girls 60 86
7

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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