The mean NAEP mathematics score (on a scale of 0 to 500) for the 1014 students in the 2014 sample with at least one parent who graduated from college was 317, with a standard deviation of 28.6. The 2014 sample contained 410 students whose parents’ highest level of education was high school graduate. The mean score for these students was 295, with a standard deviation of 22.3. Is there evidence that the mean score for the students with at least one parent graduating from college is higher than the mean for the students with parents whose highest level of education was high school?

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Answered: The mean NAEP mathematics score (on a…

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 mean NAEP mathematics score (on a scale of 0 to 500) for the 1014 students in the 2014 sample with at least one parent who graduated from college was 317, with a standard deviation of 28.6. The 2014 sample contained 410 students whose parents’ highest level of education was high school graduate. The mean score for these students was 295, with a standard deviation of 22.3. Is there evidence that the mean score for the students with at least one parent graduating from college is higher than the mean for the students with parents whose highest level of education was high school?

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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