Week 4 Project - STAT 3001
Student Name:
Date:
Instructions:
To complete this project, you will need the following materials:
STATDISK User Manual (found in the classroom in DocSharing)
Access to the Internet to download the STATDISK program.
Part I.
Analyze Data
Instructions
Answers
1.
Open the file COTININE using menu option
Datasets
and then
Elementary Stats, 9
th
Edition
.
This file contains some information about a collection of movies.
How many observations are there in this file?
In this file, there are three variables, labeled Smokers, ETS, and No ETS.
The dataset was collected for a study of second-hand smoke. The
sample data consists of the
measured serum cotinine levels
in three different groups of people.
·
The NOETS group lists the cotinine levels for subjects who are nonsmokers and have no exposure to environmental tobacco smoke at home or work.
·
The ETS group lists cotinine levels for subjects who are nonsmokers exposed to tobacco smoke at home or work.
·
The SMOKERS group lists cotinine levels for subjects who report tobacco use.
Serum cotinine is a metabolite of nicotine, meaning that cotinine is produced when nicotine is absorbed by the body. Higher levels of cotinine correspond to higher levels of exposure to smoke that contains nicotine.
2.
What results do you expect to find in this data?
Part II. Descriptive Statistics
3.
Generate descriptive statistics for all three groups of people and complete the following table.
Round all results to 2 decimal places.
Variable
Sample
Mean
Sample
Standard Deviation
Sample Size
Smokers
ETS
No ETS
4.
Did you get the results you expected here?
Explain why.
5.
In which of the three groups did we experience the MOST variation (highest deviation from the mean)?
Part III. Confidence Intervals
6.
Generate a 95% interval for the mean of the SMOKERS group. Paste your results here.
7.
Generate a 95% interval for the mean of the ETS group. Paste your results here.
8.
Generate a 95% interval for the mean of the No ETS group. Paste your results here
Create a graph below by illustrating all three confidence intervals on one graph using the tools in your word processor (example below).
Statdisk cannot do this for you.
Creat your
graph and turn the font red.
For this process, I just use the dashes and wrote a scale below the axes.
Here is an example, but it is not based on the data you are analyzing:
Case 1
14---------------------42
Case 2
35-------------------------70
________________________________________
0
20
40
60
Your
Solution
:
11.
Based on the confidence intervals shown above, does there appear to be some evidence to indicate that exposure to tobacco smoke corresponds to higher levels of cotinine?
Part IV. Hypothesis Testing
Let’s say that you are trying to show that the level of cotinine is equal to zero (0) for people who do not smoke and are not exposed to Environmental.
1. Week 4 Project - STAT 3001
Student Name:
Date:
Instructions:
To complete this project, you will need the following materials:
STATDISK User Manual (found in the classroom in
DocSharing)
Access to the Internet to download the STATDISK program.
Part I.
Analyze Data
Instructions
Answers
1.
2. Open the file COTININE using menu option
Datasets
and then
Elementary Stats, 9
th
Edition
.
This file contains some information about a collection of
movies.
How many observations are there in this file?
In this file, there are three variables, labeled Smokers, ETS, and
No ETS.
The dataset was collected for a study of second-hand smoke.
The
sample data consists of the
measured serum cotinine levels
in three different groups of people.
·
The NOETS group lists the cotinine levels for subjects who are
nonsmokers and have no exposure to environmental tobacco
smoke at home or work.
·
The ETS group lists cotinine levels for subjects who are
nonsmokers exposed to tobacco smoke at home or work.
·
The SMOKERS group lists cotinine levels for subjects who
report tobacco use.
3. Serum cotinine is a metabolite of nicotine, meaning that
cotinine is produced when nicotine is absorbed by the body.
Higher levels of cotinine correspond to higher levels of
exposure to smoke that contains nicotine.
2.
What results do you expect to find in this data?
Part II. Descriptive Statistics
3.
Generate descriptive statistics for all three groups of people and
complete the following table.
Round all results to 2 decimal places.
Variable
Sample
Mean
Sample
Standard Deviation
Sample Size
Smokers
ETS
4. No ETS
4.
Did you get the results you expected here?
Explain why.
5.
In which of the three groups did we experience the MOST
variation (highest deviation from the mean)?
Part III. Confidence Intervals
6.
Generate a 95% interval for the mean of the SMOKERS group.
Paste your results here.
7.
Generate a 95% interval for the mean of the ETS group. Paste
your results here.
8.
5. Generate a 95% interval for the mean of the No ETS group.
Paste your results here
Create a graph below by illustrating all three confidence
intervals on one graph using the tools in your word processor
(example below).
Statdisk cannot do this for you.
Creat your
graph and turn the font red.
For this process, I just use the dashes and wrote a scale below
the axes.
Here is an example, but it is not based on the data you are
analyzing:
Case 1
14---------------------42
Case 2
35-------------------------70
________________________________________
0
6. 20
40
60
Your
Solution
:
11.
Based on the confidence intervals shown above, does there
appear to be some evidence to indicate that exposure to tobacco
smoke corresponds to higher levels of cotinine?
7. Part IV. Hypothesis Testing
Let’s say that you are trying to show that the level of cotinine is
equal to zero (0) for people who do not smoke and are not
exposed to Environmental Smoke.
Compose and test a hypothesis (use Significance of 0.01) that
the cotinine levels are significantly different from 0 for the No
ETS group.
Show all steps.
Step 1.
Determine parameter of interest and compose null and
alternative hypotheses.
Step 2.
Determine the sample mean, sample standard deviation, and
sample size.
8. [Hint:
You did this in an above step in this assignment.]
Step 3.
Determine the likelihood that the population mean is actually
equal to 0 by completing a
Hypothesis Test: One Mean
in STATDISK.
Use significance of 0.01.
Paste results here.
Step 4.
State your conclusion.
Now test the claim of a tobacco company spokesmen that people
9. in the ETS population have "positive" levels of cotinine
(significantly greater than zero), suggesting that this measure is
not a good indicator of exposure to tobacco smoke. Use a
significance level of 0.05.
Step 1.
Determine parameter of interest and compose null and
alternative hypotheses.
Step 2.
Determine the sample mean, sample standard deviation, and
sample size.
[Hint:
You did this in an above step in this assignment.]
Step 3.
Determine the likelihood that the population mean is actually
equal to 0 by completing a
10. Hypothesis Test: One Mean
in STATDISK.
Use significance of 0.05.
Paste results here.
Step 4.
State your conclusion in terms of the claim by the tobacco
company.
Answer the following questions based on the above hypothesis
test.
a.
What is the p-value in this example and what does it represent?
b.
11. Does the p-value need to be different in order for us to FAIL
TO REJECT the null hypothesis here?
Submit your final draft to the Assignment 2 Turnitin – Week 4
area of your course. Please use the naming convention
"WK4Assgn2+first initial+last name" as the Submission Title.