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Name: A group of psychologists are interested in understanding what motivate
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Description: A group of psychologists are interested in understanding what motivates people to spend more time and effort trying to solve difficult problems. Specifically, they are not sure if people are more motivated when they are rewarded (gain something) or p

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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A group of psychologists are interested in understanding what motivates people to spend more time and effort trying to solve difficult problems. Specifically, they are not sure if people are more motivated when they are rewarded (gain something) or punished (lose something) for being successful. Their participants are asked to solve 8 anagrams (word puzzles) with an unlimited amount of time. In the GAIN condition, participants are given $0.25 for each correct answer (up to $2). In the LOSS condition, they are given $2 at the beginning and must give back $0.25 for each incorrect answer. The researchers measure the average amount of time that participants spend on each puzzle (in minutes) for each condition.

In this study, each person experiences both the GAIN and LOSS conditions. This means the researchers are able to calculate a “difference score” which represents how much (more or less) time participants spent on the GAIN puzzles than on the LOSS puzzles. Here are the results:

Mean difference score: -0.27

Standard deviation of difference score: 0.66

A) critical values

B) calculate test stat

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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