Answered: NEW STUDY: Dr. Apnea conducted a study…

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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NEW STUDY:

Dr. Apnea conducted a study investigating the effects of sleep deprivation on complex problem solving. He gave 25 college students a problem-solving test at noon on one day and a second problem-solving test at noon the following day. He found that there was a statistically significant mean decrease of 4.7 between the two tests from the first day to the second day. The test yielded a Cohen’s d = .82.

Which of the following statements is an accurate interpretation of Dr. Apnea’s research?

Group of answer choices

It doesn’t matter how much sleep you get, some people just aren’t good at problem solving.

If you don’t get enough sleep your problem solving abilities suffer, but only with a small absolute magnitude.

If you don’t get enough sleep your problem solving abilities suffer with a medium absolute magnitude.

If you don’t get enough sleep your problem solving abilities suffer with a large absolute magnitude.

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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