Answered: For each research scenario below,…

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

For each research scenario below, indicate:

which hypothesis test (z-score test, one-sample t-test, chi square goodness of fit test, chi square test for independence) should be used to analyze the data obtained
Explain what characteristics of the data and/or research scenario informed your choice of analysis

a) An instructor wanted to know if completing weekly quizzes improved her students’ grades compared to the grades of students in other sections who did not complete weekly quizzes. The average final grade for all other sections of the course was µ = 73.4. The average final grade for the instructor’s course of 150 students was M = 3, s = 8.40.

b) An educational policy analyst wants to know if the MCAT is biased against lower SES students applying to medical school. The population mean for the MCAT in 2021 was 536, with a standard deviation of 102. A sample of 100 students taking the MCAT whose family income was less than $20,000 had an ERW score of 480.

c) A grocer wants to know if their customers prefer organic or regular produce. They record the total number of units sold for each type of produce (organic, regular) over the month of June.

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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