Using the information provided, provide the mean of the difference scores, the estimated standard deviation and the standard error. In a cognitive psychology experiment, the researcher is interested in whether encoding condition has aneffect on memory for a list of words. She recruits 12 subjects to participate in the experiment. Eachsubject comes to the lab twice to be tested in two different encoding conditions and their memoryperformance scores are listed below. The researcher would like to leave the hypothesis non-directionalwithout predicting which encoding condition would lead to better memory, and she sets the significancelevel at a = .05 for a two-tailed test.Subject ID1236003.45789101112Encoding A177189185178181186193192187182179188Encoding B179193188176178184191187182178176184

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Answered: In a cognitive psychology experiment,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Using the information provided, provide the mean of the difference scores, the estimated standard deviation and the standard error.

In a cognitive psychology experiment, the researcher is interested in whether encoding condition has an
effect on memory for a list of words. She recruits 12 subjects to participate in the experiment. Each
subject comes to the lab twice to be tested in two different encoding conditions and their memory
performance scores are listed below. The researcher would like to leave the hypothesis non-directional
without predicting which encoding condition would lead to better memory, and she sets the significance
level at a = .05 for a two-tailed test.
Subject ID
1
2
3600
3.
4
5
7
8
9
10
11
12
Encoding A
177
189
185
178
181
186
193
192
187
182
179
188
Encoding B
179
193
188
176
178
184
191
187
182
178
176
184

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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