Answered: Learning math The Core Plus Mathematics…

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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Learning math The Core Plus Mathematics Project

(CPMP) is an innovative approach to teaching Math-
ematics that engages students in group investigations

and mathematical modeling. After field tests in 36 high
schools over a three-year period, researchers compared
the performances of CPMP students with those taught
using a traditional curriculum. In one test, students had to
solve applied Algebra problems using calculators. Scores
for 320 CPMP students were compared to those of a

control group of 273 students in a traditional Math pro-
gram. Computer software was used to create a confidence

interval for the difference in mean scores. (Journal for
Research in Mathematics Education, 31, no. 3[2000])
Conf level: 95% Variable: Mu(CPMP) – Mu(Ctrl)
Interval: (5.573, 11.427)
a) What’s the margin of error for this confidence
interval?
b) If we had created a 98% CI, would the margin of error
be larger or smaller?c) Explain what the calculated interval means in context.
d) Does this result suggest that students who learn
Mathematics with CPMP will have significantly
higher mean scores in Algebra than those in traditional
programs? Explain.

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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