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- Sampling and data
- Practice: sampling and data
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.
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
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what are the types of wave
Maurice
fine, how about you?
Mohammed
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
Who can show me the full solution in this problem?
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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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