Answered: Two-Sample T-Test for Mean A researcher…

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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Two-Sample T-Test for Mean

A researcher wants to study the effect of bold and underlined words on students. A group of 20 students received a syllabus with the academic integrity section in bold and underlined words while another group of 20 students received the same copy except everything was in normal font. For the group with the bold and underlined words, the mean number of students who violated the academic integrity policy was 1.5 with a sample variance of 0.85. For the group with the normal font, the mean number of students who violated the academic integrity policy was 2.3 with a sample variance of 1.22. Do the results indicate a significantly higher mean number of students who violated the academic integrity policy for the normal font group? Use a 5% significance level.

Please use ALL the four steps of hypothesis testing to answer this question.

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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