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1. The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes.$6.89
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California State University - San Jose State University
Statistics and Analytics Questions
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1. The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes.
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Statistics and Analytics Questions
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California State University - San Jose State University
1. The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes.
Participant
BMI (kg/m2)
A
26.5
B
19.2
C
29.7
D
27.4
E
30.2
F
28.9
A) Assuming the participant...
1 the following table illustrates the bmi for a number of patients
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California State University - San Jose State University
Statistics and Analytics Questions
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1. The following table illustrates the BMI for a number of patients recently enrolled in a
study investigating the relationship between BMI and type 2 diabetes.
Participant BMI (kg/m2)
A 26.5
B 19.2
C 29.7
D 27.4
E 30.2
F 28.9
A) Assuming the participants can be considered to be normally distributed, and that they come
from a population with a σ=2.4 kg/m2, calculate a 95% confidence interval for the mean BMI of
the population for which they represent.
26.5+ 19.2+ 29.7+27.4+30.2+28.9
X=
6
X = 26.983
Zσ σ
[ ]
P X− √ 6 < μ< X +Z √ 6 =0.95
Z=1.96
σ=2.4
2.4
X −1.96 x
√6
2.4
26.983−1.96 x
√6 = 25.062
B) Correctly interpret the confidence interval you found above.
The interval found above shows that the likelihood of having the mean in
this interval is 0.95 implies with 95 percent certainty that the mean BMT would
reside in this interval.
2.
Suppose the following table illustrates the ages for a number of participants projected to enroll
into a clinical trial looking at early onset of dementia.
Patient Age
A 64
B 57
C 58
D 53
E 71
F 54
G 63
A) Assuming that these participants can be considered to be normally distributed, and that they
come from a population with a σ=4.3 years, calculate a 99% confidence interval for the mean age
of the population for which they represent.
B) With the same assumptions listed above, calculate a 90% confidence interval for the mean
age of the population for which they represent.
1.645∗4.3
¿ 60 ±( )
√7
¿( 57.3265,62.6735)
C) Compare the precision of the two confidence intervals.
The confidence interval for 90% is more precise because the interval is relatively narrow
(5.347) and the confidence interval of 99% (8.37) has greater uncertainty because the interval
was wider.
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