Answered: A group of psychology students in…

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 psychology students in Research Methods are studying sleep quality and cell phone usage amongst their peers. They’ve been using the Pittsburgh Sleep Index Questionnaires to measure quality of sleep. They want to find out what raw Index score sits 2 standard deviations above the mean. (They want to count the number in their sample who sleep an abnormally long time. In psychology, values more than approximately 2 SD from the mean have conventionally been considered abnormal.) In the population of interest, the mean and standard deviation of the raw index scores is 62 and 9, respectively.
Find the X value that corresponds to z = 2.0.
Please round your answer to the nearest one, e.g., 44.

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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