Based on previous research and sound theoretical considerations, an experimental psychologist believes that memory for pictures is different than memory for words. To test this hypothesis the psychologist performs an experiment in which students from an introductory psychology class are used as subjects. Eight randomly selected students view slides with nouns printed on them and another group of eight randomly selected students view slides with pictures of the same nouns. Each slide contains either one picture or one noun and is viewed for four seconds. After viewing all the slides, subjects are given a memory recall test and the number of correctly remembered items is measured. The data are listed below.Number of Pictures Recalled: 18, 21, 14, 25, 23, 19, 26, 15Number of Nouns Recalled: 12, 9, 21, 17, 16, 10, 19, 12Is the mean recall of words significantly different than that of pictures? Test with an α = 0.01.Calculate and interpret the effect size.How would the results of your hypothesis test change if you used an α = 0.05?Which group remembered more items on average? What was that group's mean?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Based on previous research and sound theoretical considerations, an experimental psychologist believes that memory for pictures is different than memory for words. To test this hypothesis the psychologist performs an experiment in which students from an introductory psychology class are used as subjects. Eight randomly selected students view slides with nouns printed on them and another group of eight randomly selected students view slides with pictures of the same nouns. Each slide contains either one picture or one noun and is viewed for four seconds. After viewing all the slides, subjects are given a memory recall test and the number of correctly remembered items is measured. The data are listed below.

Number of Pictures Recalled: 18, 21, 14, 25, 23, 19, 26, 15

Number of Nouns Recalled: 12, 9, 21, 17, 16, 10, 19, 12

Is the mean recall of words significantly different than that of pictures? Test with an α = 0.01.
Calculate and interpret the effect size.
How would the results of your hypothesis test change if you used an α = 0.05?
Which group remembered more items on average? What was that group's mean?

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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