100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
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   Add to cart

Other

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.

 22 views  0 purchase
  • Course
  • Institution

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...

[Show more]

Preview 2 out of 10  pages

  • June 21, 2021
  • 10
  • 2020/2021
  • Other
  • Unknown
avatar-seller
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.

, n=7
64+57+58+53+ 71+ 54+63 ( 420 )
99% Confidence interval X= =60
7
Z α 12=2.58
2.575∗4.3
¿ 60 ±( )
√7
¿( 55.8150,64.1850)

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.

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller AcademicAssignments. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $6.89. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

75632 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$6.89
  • (0)
  Add to cart