With the data collected, Dr Tian ran a test to see if there was a significant difference in the mean of X (a factor affecting the continued usage of e-learning communication) between male and female students.Question: Interpret the result and explain whether there is a significant gender difference. SPSS OutputGroup StatisticsSampleNMeanStd. DeviationStd. Error MeanMale154.661.676.433Female153.631.008.260 Independent Samples TestLevene'sTest forEquality ofVariancest-test for Equality of Means95% ConfidenceInterval of theSig. (2-МeanStd. ErrorDifferenceFSig.dftailed)Difference DifferenceLowerUpperEqualvariances5.63.0w2.04628.0491.033.505-.0012.068assumedEqualvariances not2.046 22.959.0521.033.505-.0122.078assumed[Important Note: w=the 7th digit of your student ID. E.g. s1234576. So, w=6]

First to check whether there is a gender difference one need to check the equality of variance…

Answered: ed, Dr Tian ran a test to see if there…

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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With the data collected, Dr Tian ran a test to see if there was a significant difference in the mean of X (a factor affecting the continued usage of e-learning communication) between male and female students.

Question: Interpret the result and explain whether there is a significant gender difference.

SPSS Output
Group Statistics
Sample
N
Mean
Std. Deviation
Std. Error Mean
Male
15
4.66
1.676
.433
Female
15
3.63
1.008
.260

Independent Samples Test
Levene's
Test for
Equality of
Variances
t-test for Equality of Means
95% Confidence
Interval of the
Sig. (2-
Мean
Std. Error
Difference
F
Sig.
df
tailed)
Difference Difference
Lower
Upper
Equal
variances
5.63
.0w
2.046
28
.049
1.033
.505
-.001
2.068
assumed
Equal
variances not
2.046 22.959
.052
1.033
.505
-.012
2.078
assumed
[Important Note: w=the 7th digit of your student ID. E.g. s1234576. So, w=6]

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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