Answered: 200 Yes INo 159 156 143 153 150 140 136…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.5: Percents

Problem 15WE

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Question

The Internet The NAEP report described in Exercise 39
compared science scores for students who had home
Internet access to the scores of those who did not, as
shown in the graph. They report that the differences are
statistically significant.
a) Explain what “statistically significant” means in this
context.
b) If their conclusion is incorrect, which type of error did
the researchers commit?

c) Does this prove that using the Internet at home can im-
prove a student’s performance in science?

200
Yes
INo
159
156
143
153
150
140
136
100
Grade 4
Grade 8
Grade 12
Mean Score

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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