For the SPSS output below, imagine that this is an experiment looking at differences between men (group 1) and women (group 2) in terms of their level of math enjoyment: a. Explain what the results mean…are you rejecting the null, or failing to reject the null? are the results statistically significant or not?b. Write down a simple conclusion sentence that a friend who has never taken statistics will be able to read and understand in terms of what the results found. Group StatisticsgenderMeanStd. DeviationStd. Error Meantest_scoremale77.20007.085203.16860females681.00005.830952.38048Page 1Independent Samples TestLevene's Test for Equality oft-test for Equality ofVariancesMeansFSig.tdftest_scoreEqual variances assumed.001.972-978Equal variances not-.9597.801assumedIndependent Samples Testt-test for Equality of Means95%Confidence ...MeanStd. ErrorSig. (2-tailed)DifferenceDifferenceLowertest_scoreEqual variances assumed.354-3.800003.88673-12.59239Equal variances not.366-3.800003.96316-12.97974assumed

Given information: The SPSS output for a two-sample t test is given.

Answered: For the SPSS output below, imagine that…

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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For the SPSS output below, imagine that this is an experiment looking at differences between men (group 1) and women (group 2) in terms of their level of math enjoyment:

a. Explain what the results mean…are you rejecting the null, or failing to reject the null? are the results statistically significant or not?

b. Write down a simple conclusion sentence that a friend who has never taken statistics will be able to read and understand in terms of what the results found.

Group Statistics
gender
Mean
Std. Deviation
Std. Error Mean
test_score
male
77.2000
7.08520
3.16860
females
6
81.0000
5.83095
2.38048
Page 1
Independent Samples Test
Levene's Test for Equality of
t-test for Equality of
Variances
Means
F
Sig.
t
df
test_score
Equal variances assumed
.001
.972
-978
Equal variances not
-.959
7.801
assumed
Independent Samples Test
t-test for Equality of Means
95%
Confidence ...
Mean
Std. Error
Sig. (2-tailed)
Difference
Difference
Lower
test_score
Equal variances assumed
.354
-3.80000
3.88673
-12.59239
Equal variances not
.366
-3.80000
3.96316
-12.97974
assumed

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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