Answered: Dorms Apartments At Home 8 2 5 9 1 4 7…

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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Question

^{A researcher is interested in the effect type of residence has on the personal happiness of
college students. She selects samples of students who live in campus dorms, in off-campus apartments, and at home and asks the respondents to rate their happiness on a scale of 1 (not happy) to 10 (happy). Her data are reported below}

^{A) Write research and null hypotheses}

^{B) Does happiness differ by type of residence? Test with an α = 0.01.
C) What type of error is possible based on the outcome?
D) On average, which residence type has the highest amount of personal happiness?
Report the mean.
E) On average, which residence type has the lowest amount of personal happiness? Report the mean.}

^{F) If appropriate, use Scheffe’s post hoc test and report where the differences are. If
inappropriate, state why.
G) Calculate and interpret the effect size}

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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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