Are Woman Smarter Than A Men?

Theme:				minimum value for men is 98.
The theme of this study is to determine whether				Outliers:
men are smarter than women or whether				This section determines whether there are
women are smarter than men, in the past men				outliers in the data set, combining all the data
have been considered to play major and most				values the minimum and maximum values are as
important roles in the society. For example men in				follow
the past have held high position in the society in				Minimum=98 LQ-1.5QR , UQ+1.5QR IQR=UQ-LQ
leadership, and there are more men than women				Lower Quartile=106 106-1.5(13), 119+1.5(13)
who are leaders of the important institutions in				IQR=119-106
the society. The society in the past perceived				Median=108 106-19.5 , 119+19.6 IQR=13
women to be weak and less intelligent and their				Upper quartile= 112 (86.5 , 138.5)
only position in the society included taking care of				Maximum=119
children. This perception has however changed and				Therefore the data set should range from 86.5 to
women today are holding top positions, the				138.5, given that the minimum value of the data
following study analysis data for an IQ test from				set and the maximum value of the data set are
a sample of 5 mean and 5 women.				within this range then outliers do not exist in the
Reason for choosing this case:				data set.
I choose to study this particular concept because				Hypothesis test:
of the fact that women in past have been less				A T test is appropriate for this study given that
powerful and through this analysis this would				there are only two categories to consider, the
enable me to understand why women do not hold				following is the hypothesis tested:
top positions in the society, also to analyze why				Null hypothesis;
women do not hold position whether this is				Ho: q1 =q2
because they are less intelligent or whether this is				Alternative hypothesis:
because men discriminate against them.				H1:q1> q2
Sample:				Where Q1 is the male IQ test score mean and
The population in this study is male and female in				Q2 is women IQ test score mean, using excel
the university, a stratified sample was obtained				data analysis tool the following results were
comprising of 5 men and 5 women, however the				obtained:t-Test: Two-Sample Assuming Unequal
sample in each category was obtained randomly,				Varianceswomenmen
the reason for selecting a sample was due to the				Mean
cost and resources associated with studying the				108.4
entire population.				108.8
Expected results:				Variance
The expected results in this study are that mean				18.3
and women are equally intelligent, and therefore				59.7
the reason why women are do not hold top				Observations
position in the society is because they are viewed				5
as weak by men, the society do not give women				5
a chance to prove their abilities, this can is evident				Hypothesized Mean Difference
from history where women in the past did not				0df
hold top positions compared to today where				6t Stat
changes have occurred and women hold position				-0.10127
that were considered to be held by men only.				P(T<=t) one-tail
2. Computation:				0.461316t Critical one-tail
Results:				1.94318
In order to analyze the difference in intelligence				P(T<=t) two-tail
between men and women descriptive statistics				0.922633t Critical two-tail
such as the mean, standard deviation, minimum				2.446912
value and maximum value are computed, the				From the table the T statistics value is -0.10127
following table summarizes the results:womenmen				while the T critical two tail value is 2.4469, the T
				critical value is than the statistics value and
104				therefore the null hypothesis is accepted.
109				Implications:
				The null hypothesis Ho: q1 =q2 is accepted and
106				this implies that the mean IQ test score for male
106				and female are equal; this means that men and
				women are equally intelligent.
110				3. Visuals
119				A bar chart is more appropriate in this case given
				that there are only two categories and that the
107				mean values are being considered, this graph aids
112				in comparing data values and statistics such as
				the mean, the following bar chart indicates the
115				mean value for each category:
98average				From the above chart the mean value for male is
108.4				greater than the man value for female
108.8standard deviation				Conclusions:
4.27785				Results in the above analysis show that women
7.726578minimum				IQ test score mean value is lower than men IQ
104				test score mean value, it is also evident that a
98maximum				hypothesis test on the difference between mean
115				show that the two mean values are equal,
119median				therefore this means that the population mean
107				values are equal and that men and women are
109				equally intelligent. Some problems with this study is
From the above table the average IQ test results				that the sample size used is relatively small,
show that women have a lower average value				however the T test method is the most
(108.4) than men (108.8), however the standard				appropriate method in determining the mean
deviation between the two categories show that				difference between men and female IQ score
men data have a higher standard deviation, the				mean values given that there are only two
minimum value for women is 104 while the				categories.

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Are Woman Smarter Than A Men?

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