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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
number of sport play by 50 student construct discrete data
width of the frangebany leaves on how to write a introduction
Solve the mean of variance
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ...
Step 2: Find each score's deviation from the mean. ...
Step 3: Square each deviation from the mean. ...
Step 4: Find the sum of squares. ...
Step 5: Divide the sum of squares by n – 1 or N.
kenneth
Is mistake done to something
Vutshila
What is the life teble
anas
statistics is the analyzing of data
how do you calculate mean
diveving the sum if all values
Shaynaynay
let A1,A2 and A3 events be independent,show that (A1)^c, (A2)^c and (A3)^c are independent?
data collected all over the world
Shaynaynay
construct a less than and more than table
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400
a. what is the probability of getting more than 12,000 hits?
b. what is the probability of getting fewer than 9,000 hits?
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits
Akshay
Sorry i want to learn more about this question
Bright
a= 0.20233
b=0.3384
Sufiyan
How do I interpret level of significance?
It depends on your business problem or in Machine Learning you could use ROC- AUC cruve to decide the threshold value
Shivam
how skewness and kurtosis are used in statistics
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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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