Statistics Inquiry and Analysis Assignment Solution

Statistics Inquiry and Analysis

Data Description:
The Data on body temperature by stat crunch is
selected for statistical inquiry and analysis. The data has 3 variable
among which one is categorical. The Gender variable has two categories
of male and female. The other variables are body temperature and heart
rate. The body temperature measured in Fahrenheit and the heart rate in
bpm. The size of the data is 130.
Research Proposal:
One might be interested in the question whether the
body temperate in the given sample differs from male to female. We
might be interested in similar question regarding heart rate. Further we
can check if there is any relation between temperature and heart rate.
Descriptive Statistics:
The following is the summary statistics for body temperature and heart
rate. It seems there is no much difference between the body temp of male
and female, which needs to be confirmed by the test. In heart rate, even
though the means look to be near for male and female, there is huge
difference in variances.
Summary statistics for Body Temp:
Group by: Gender
Gend
er
n Mean Variance Std.
dev.
Std. err. Medi
an
Ran
ge
Mi
n
Max Q1 Q3
Femal
e
6
5
98.3938
46
0.552774
04
0.743487
75
0.0922183
06
98.4 4.4 96.
4
100.
8
98 98.
8
Male 6
5
98.1046
15
0.488259
62
0.698755
76
0.0866699
86
98.1 3.2 96.
3
99.5 97.
6
98.
6

Summary statistics for Heart Rate:
Group by: Gender
Gend
er
n Mean Variance Std.
dev.
Std. err. Media
n
Rang
e
Mi
n
Ma
x
Q
1
Q
3
Femal
e
6
5
74.15384
6
65.69471
2
8.105227
4
1.005329
7
76 32 57 89 68 80
Male 6
5
73.36923
1
34.51778
8
5.875184
1
0.728726
9
73 28 58 86 70 78
The best graphical view of summary statistics, box plots are shown below.

The following is the histogram drawn for Body Temperature. The given
skewness and kurtosis gives the extent the data deviates from standard
normal.
Column Skewness Kurtosi
s
Body
Temp
-
0.00441913
12
0.78045
74
The following diagram is the histogram of the heart rate and its deviation
from the standard normal is measured by skewness and kurtosis values
mentioned below.
Summary statistics:
Column Skewnes
s
Kurtosis
Heart
Rate
-
0.178352
96
-
0.463020
97