Answered: A behavioral economics psychologist…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A behavioral economics psychologist wanted to see what factors were important when a person selects speakers. The tested price of speakers (of low and high) and sound amplitude (soft and loud), as some research shows the louder speakers sound better to people. He asked participants to rate the sound quality of the speakers they listened to from 0-10, with a score of 10 being the highest quality. Write the hypothesis (in words), perform the ANOVA and include the partial eta squared calculations in your APA write up of the results of the following data.
Test at an alpha level of α=.05.

		Factor B
		low	high
	soft	0	4
		1	6
		4	5
		3	4
		2	3
	Mean	2	4.4	N=20
	SS	10	5.2	G=104
Factor A	Total	10	22	∑x2=682
	loud	8	8
		6	5
		9	5
		5	9
		10	7
	Mean	7.6	6.8
	SS	17.2	12.8
	Total	38	34

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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