Answered: Attention: These data are different…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Attention: These data are different from your previous questions!

Now Lynn takes a different approach. They collect another two samples - GPA from students taking a semester of in-class courses, and then the same students' GPA when they are taking a semester of online courses. The data set is below. They predict that they will find a difference between in-class GPA and online GPA for the same students.

GPA Mean

Student	In Class GPA	Online GPA
Amy	4.0	3.5
Brad	3.5	2.2
Caroline	3.7	2.0
Dan	3.5	3.5
Emily	3.6	3.3
Frank	3.2	3.2
George	3.3	2.1

What is the difference between mean in-class GPA and mean online GPA for the same students? Round your answer to two decimal places.

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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