The Computer Anxiety Rating Scale (CARS) measures an individual’s level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at a large university administered CARS to 80 business students. One of the objectives of the study was to determine whether there is a difference between the level of computer anxiety experienced by female students and male students. Of the 80 student survey takers, 40 were male, 40 were female. The results are in the table below for statistical analysis of variability between the two samples. All of these analyses are run with a 95% level of confidence. Males Females Sample Mean 40.26 36.85 Sample Standard Deviation 13.35 9.42 (a) Find the difference between these sample means. (b) Find the variance of the male sample. (c) Find the variance of the female sample. (d) Which test should be ran to determine if there is evidence of a difference in computer anxiety experienced by males and females? i. A paired t-test ii. A t-test for the difference between two means that have shown having unequal variances. iii. A pooled variance t-test for the difference between two means iv. Z Test for the Mean, sigma known

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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The Computer Anxiety Rating Scale (CARS) measures an individual’s level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at a large university administered CARS to 80 business students. One of the objectives of the study was to determine whether there is a difference between the level of computer anxiety experienced by female students and male students.

Of the 80 student survey takers, 40 were male, 40 were female. The results are in the table below for statistical analysis of variability between the two samples. All of these analyses are run with a 95% level of confidence.

	Males	Females
Sample Mean	40.26	36.85
Sample Standard Deviation	13.35	9.42

(a) Find the difference between these sample means.
(b) Find the variance of the male sample.
(c) Find the variance of the female sample.

(d) Which test should be ran to determine if there is evidence of a difference in computer anxiety experienced by males and females?

i. A paired t-test
ii. A t-test for the difference between two means that have shown having unequal variances.
iii. A pooled variance t-test for the difference between two means
iv. Z Test for the Mean, sigma known

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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