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Name: The following are Math ACT scores for 10 students. The sample of stude
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The following are Math ACT scores for 10 students. The sample of students took the test two times, and their scores for each test are given below. Can you conclude that the mean score is higher the second time the students take the test? Use ? = 0.05

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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The following are Math ACT scores for 10 students. The sample of students took the test two times, and their scores for each test are given below. Can you conclude that the mean score is higher the second time the students take the test? Use ? = 0.05. Note: these are paired samples.

First time	28	29	22	25	26	29	27	24	27	24
Second time	34	30	31	26	31	30	31	32	29	33

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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