To complete this project, you will need the following materials: ·

  

Week 4 Project – STAT 3001

Student Name:  <Type your name here>

Date: <Enter the date on which you began working on this assignment.>

Instructions: To complete this project, you will need the following materials:

· STAT DISK User Manual (found in the classroom in Doc Sharing)

· Access to the internet to download the Stat Disk program.

Part I. Analyze Data

  

Instructions

Answers

 

1. Open   the file Passive and Active Smoke using   menu option Datasets and then Elementary   Stats, 13th Edition. This file contains some information on the continine levels in   smokers, nonsmokers exposed to smoke (ETS), and nonsmokers not exposed to   smoke (No ETS).  How many   observations are there in this file?

There   are forty (40) observations in this file.

 

2. What would you expect to find relative to the   continine level in the groups? 

Part II. Descriptive Statistics

  

3-6 Generate descriptive   statistics for No ETS, Smokers and ETS groups and complete the following   table. Round mean and standard   deviation to 3 decimal places.

Variable

Sample   

Mean

Sample

Standard   Deviation

Sample   Size

 

No ETS

 

Smokers

 

ETS

 

7. Did you get the results you   expected here? Explain why.

 

8. Which of the three groups experienced   the MOST variation? How do you know?

Part III. Confidence Intervals

  

9. Generate a 90% interval for the   mean of the No ETS group. Paste your results here.

 

10. Generate a 90% interval for   the mean of the Smoker group. Paste your results here.

 

11. Generate a 90% interval for   the mean of the ETS group. Paste your results here

12. Create a graph below by illustrating all three confidence intervals on one graph using the tools in your word processor (example below). Stat Disk cannot do this for you. Create your graph and turn the font red. For this process, I just used 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: 

 

13. Based   on the confidence intervals shown above, what conclusion can you draw about   whether the exposure to smoke leads to higher continine levels? Why?

Part IV. Hypothesis Testing

14.  Your researcher’s claim is that the continine level for the ETS group is not equal to zero. Compose a hypothesis test with a level of significance of .05 to test your claim. 

  

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 recorded these previously in Part II,   #3-6]

 

Step 3. Determine the likelihood that the population mean is actually not   equal to 0 by completing a Hypothesis Test: One Mean in STAT DISK. Use significance of 0.05. Remember to change   the pulldown option in Stat Disk to agree with the alternate hypothesis. Paste   your results here.

 

Step 4. State   your conclusion. Your conclusion statement should   include the p-value and level of significance to phrase your conclusion.

15. For your second hypothesis test, your researcher’s claim is that the continine level in the NO ETS group is greater than zero. Perform a hypothesis test using a significance level of .01 to test your claim.

  

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 recorded these previously in Part II,   #3-6]

 

Step 3. Determine the likelihood that the population mean is actually greater   than 0 by completing a Hypothesis Test: One Mean in STAT DISK. Use significance of 0.01. Remember to change   the pulldown option in Stat Disk to agree with the alternate hypothesis. Paste   results here.

 

Step 4. State   your conclusion. Your   conclusion statement should include the p-value and level of significance to   phrase your conclusion. 

16. Answer the following questions based on the above hypothesis test.

 

  

a. What   is the p-value for the hypothesis test in #15 and what does it represent?   (Look at page 383 in the text)

 

b. Given that your data, hypotheses, and p-value do not   change, what would need to be different in order for you to REJECT the   null hypothesis? (What do you compare to make your rejection decision?)