A study by researchers at the University of Maryland addressed the question of whether the mean body
Question:
A study by researchers at the University of Maryland addressed the question of whether the
mean body temperature of humans is 98.6F. The results of the study by P. Mackowiak et al.
appeared in an article in the Journal of the American Medical Association. Among other data, the
researchers obtained the body temperature of 93 healthy humans.
In StatCrunch:
-Construct a frequency distribution and a relative-frequency distribution for the body
temperature (10 pts)
[create a Bin first: Choose Data - Bin - Select the correct column-Use fixed bins
starting at 96.5 F and with a width of 0.35 F](
Instruction:
Choose Stat - Tables - Frequency, select
your variable; under "Statistics" choose "Frequency" and "Relative frequency"; you may leave other
options as they are or adjust as you wish.)
-Construct a frequency or relative-frequency histogram for the body temperature (5 pts)
(I
nstruction:
Choose Graph- Histogram and select your variable"; label your axes, can use the width
of 0.35 F and a start at 96.5 F, you may leave other options as they are or adjust as you wish.)
-Construct two stem-and-leaf plots for the body temperature (6 pts)
(
Instruction:
Choose
Graph- Stem and leaf -Choose leaf unit as 1 (the other graph you should use leaf unit 0.1). You may
leave other options as they are or adjust as you wish.)
-Find the mean, mode, range, variance, standard deviation, and the value that corresponds
to the 88
th
percentile for the body temperature. (12 points)
(
Instruction:
Choose Stat - Summary
Stats - Columns, select your variable, under "Statistics", select the statistics that you want to measure,
click "compute"; you may leave other options as they are.)
-Find the five-number-summary and the interquartile range (IQR) for the body
temperature. (12 pts)
(
Instruction:
Choose Stat - Summary Stats - Columns, select your
variable, under "Statistics", select the statistics that you want to measure, click "compute"; you
may leave other options as they are.)
-Construct a boxplot for the body temperature (5 points)
(
Instruction:
Choose Graph -
Boxplot, select your variable(s), under "Other Options" choose "
Use fences to identify outliers"
, and click "graph"; you may leave other options as they are.)
In your report:
- Identify the type(s) of variable for the temperature. Be specific. (2 pts)
- Looking at the histogram: Identify the overall shape of the distribution and state whether
the distribution is bell shaped and (roughly) symmetric, right skewed, or left skewed for the mean
body temperature. (4 pts)
- Which mean temperature interval occurs the most? Which interval occurs the least? (4 pts)
- Which of the two graphs (histogram or stem and leaf) do you find most useful? Why? (5 pts)
-Interpret the values of the mean, range, standard deviation and the value that corresponds
to the 88
th
percentile. (8 pts)
-Decide which measure of center is most appropriate. Discuss your results and provide a
reason for your answer. (5 pts)
- Report/state the five number summary and the IQR found above. Interpret the quartiles
and IQR (6 pts)
-Identify potential outliers, if any. (2 pts)
- Looking at the box-plot: Identify the overall shape of the distribution and state whether
the distribution is (roughly) symmetric, right skewed, or left skewed. (4 pts)
DATA SET
TEMP
98
97.6
98.8
98
98.8
98.8
97.6
98.6
98.6
98.8
98
98.2
98
98
97
97.2
98.2
98.1
98.2
98.5
98.5
99
98
97
97.3
97.3
98.1
97.8
99
97.6
97.4
98
97.4
98
98.6
98.6
98.4
97
98.4
99
98
99.4
97.8
98.2
99.2
99
97.7
98.2
98.2
98.8
98.1
98.5
97.2
98.5
99.2
98.3
98.7
98.8
98.6
98
99.1
97.2
97.6
97.9
98.8
98.6
98.6
99.3
97.8
98.7
99.3
97.8
98.4
97.7
98.3
97.7
97.1
98.4
98.6
97.4
96.7
96.9
98.4
98.2
98.6
97
97.4
98.4
97.4
96.8
98.2
97.4
98
Expert Answer:
