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This module provides an opportunity for students to practice concepts related to statistical sampling and data. Given a sample data set, the student will practice constructing frequency tables, differentiating between key terms, and comparing sampling techniques.

Student learning outcomes

  • The student will construct frequency tables.
  • The student will differentiate between key terms.
  • The student will compare sampling techniques.

Given

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average(mean) length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

    Researcher a

  • 3
  • 4
  • 11
  • 15
  • 16
  • 17
  • 22
  • 44
  • 37
  • 16
  • 14
  • 24
  • 25
  • 15
  • 26
  • 27
  • 33
  • 29
  • 35
  • 44
  • 13
  • 21
  • 22
  • 10
  • 12
  • 8
  • 40
  • 32
  • 26
  • 27
  • 31
  • 34
  • 29
  • 17
  • 8
  • 24
  • 18
  • 47
  • 33
  • 34

    Researcher b

  • 3
  • 14
  • 11
  • 5
  • 16
  • 17
  • 28
  • 41
  • 31
  • 18
  • 14
  • 14
  • 26
  • 25
  • 21
  • 22
  • 31
  • 2
  • 35
  • 44
  • 23
  • 21
  • 21
  • 16
  • 12
  • 18
  • 41
  • 22
  • 16
  • 25
  • 33
  • 34
  • 29
  • 13
  • 18
  • 24
  • 23
  • 42
  • 33
  • 29

Organize the data

Complete the tables below using the data provided.

Researcher a
Survival Length (in months) Frequency Relative Frequency Cumulative Relative Frequency
0.5 - 6.5
6.5 - 12.5
12.5 - 18.5
18.5 - 24.5
24.5 - 30.5
30.5 - 36.5
36.5 - 42.5
42.5 - 48.5
Researcher b
Survival Length (in months) Frequency Relative Frequency Cumulative Relative Frequency
0.5 - 6.5
6.5 - 12.5
12.5 - 18.5
18.5 - 24.5
24.5 - 30.5
30.5 - 36.5
36.5 - 42.5
42.5 - 48.5

Key terms

Define the key terms based upon the above example for Researcher A.

Discussion questions

Discuss the following questions and then answer in complete sentences.

List two reasons why the data may differ.

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Can you tell if one researcher is correct and the other one is incorrect? Why?

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Would you expect the data to be identical? Why or why not?

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How could the researchers gather random data?

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Suppose that the first researcher conducted his survey by randomly choosing one state in the nation and then randomly picking 40 patients from that state. What sampling method would that researcher have used?

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Suppose that the second researcher conducted his survey by choosing 40 patients he knew. What sampling method would that researcher have used? What concerns would you have about this data set, based upon the data collection method?

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Questions & Answers

Application of nanotechnology in medicine
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I only see partial conversation and what's the question here!
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what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
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industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
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what is a peer
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What is meant by 'nano scale'?
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What is STMs full form?
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scanning tunneling microscope
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Mahi
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Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
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Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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