Solve the following. Show your complete solutionThe incoming freshman students of a particular college are required to take a mathematics placement examination. As an experiment, 8 randomly selected students were given the exam andthen made to join a 4-hour refresher class. These students were given a re-test after the refresher class. Assuming the distribution of scores was approximately normal, construct a 90% confidence interval for the mean difference of the exam scores. 6. The incoming freshman students of a particular college are required to take a mathematicsplacement examination. As an experiment, 8 randomly selected students were given theexam and then made to join a 4-hour refresher class. These students were given a re-testafter the refresher class. Assuming the distribution of scores was approximately normal,construct a 90% confidence interval for the mean difference of the exam scores.StudentScore(Before)Score (After) 2012021817315204141851819620207JA171581216

Given that We have to 90% confidence interval for the mean difference of the exam scores :

Answered: Solve the following. Show your complete…

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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Solve the following. Show your complete solution The incoming freshman students of a particular college are required to take a mathematics placement examination. As an experiment, 8 randomly selected students were given the exam and then made to join a 4-hour refresher class. These students were given a re-test after the refresher class. Assuming the distribution of scores was approximately normal, construct a 90% confidence interval for the mean difference of the exam scores.

6. The incoming freshman students of a particular college are required to take a mathematics
placement examination. As an experiment, 8 randomly selected students were given the
exam and then made to join a 4-hour refresher class. These students were given a re-test
after the refresher class. Assuming the distribution of scores was approximately normal,
construct a 90% confidence interval for the mean difference of the exam scores.
Student
Score
(Before)
Score (After) 20
1
20
2
18
17
3
15
20
4
14
18
5
18
19
6
20
20
7
JA
17
15
8
12
16

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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