The average score for Indiana public school 6th graders on a standardized reading comprehension test is µ = 75, and the distribution is normally shaped. A principal of one school in northwest Indiana wants to know if a new reading program improves scores compared to the Indiana population mean. The principal takes a sample of 121 students and gives all of them the new reading program for one semester. After the semester is over, these 121 students are given a reading comprehension test. Their mean score is 75.9 with a standard deviation of 5. How large is the effect? Small Small-Medium Medium Large Medium-Large

The hypothesized mean is 75, the sample mean is 75.9 and the standard deviation is 5.

Answered: The average score for Indiana public…

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 average score for Indiana public school 6th graders on a standardized reading comprehension test is µ = 75, and the distribution is normally shaped. A principal of one school in northwest Indiana wants to know if a new reading program improves scores compared to the Indiana population mean. The principal takes a sample of 121 students and gives all of them the new reading program for one semester. After the semester is over, these 121 students are given a reading comprehension test. Their mean score is 75.9 with a standard deviation of 5. How large is the effect?

Small

Small-Medium

Medium

Large

Medium-Large

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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