open the file garbge weights using menu option datasets and then

  

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:

· Statdisk User’s Manual (link found on week 4 Project resources page)

· Access to the Internet to download the Statdisk program.

· You don’t have to explain your steps unless the problem specifically says to.

 

Part I. Analyze Data

  

Instructions

Answers

 

1. Open   the file GARBGE WEIGHTS using menu   option Datasets and then Elementary   Stats, 13th Edition. This file contains some information about the weights of different   materials placed in the garbage per household per week. How many   observations are there in this file?

 

2. Would you expect to find more paper, plastic, or   glass in the garbage by weight? 

Part II. Descriptive Statistics

  

3-6 Generate descriptive   statistics for paper, plastic, and glass and complete the following   table. Round all results to 3 decimal   places.

Variable

Sample   

Mean

Sample

Standard   Deviation

Sample   Size

 

Paper

 

Plastic

 

Glass

 

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

 

8. In which of the three groups   did we experience the MOST variation?

Part III. Confidence Intervals

  

9. Generate a 95% interval for the   mean of the PAPER group. Paste your results here.

 

10. Generate a 95% interval for   the mean of the PLASTIC group. Paste your results here.

 

11. Generate a 95% interval for   the mean of the GLASS 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). Statdisk 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   the weight of the different types of garbage?

Part IV. Hypothesis Testing

14.  For planning purposes, the landfill in Mountainview estimates the weight of plastic to be 1.7 pounds per household each week. You have noticed a lot of plastics in the garbage in your neighborhood and want to test the claim that the weight of plastic is more than 1.7 pounds. 

  

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 equal to   1.7 by completing a Hypothesis Test: One Mean in STATDISK. Use significance of 0.05. Paste your results   here.  Remember that the pulldown menu in Statdisk   must match the alternative hypothesis statement.

 

Step 4. State   your conclusion. The conclusion statement has a prescribed format: it should   include a comparison of the p-value and alpha, whether you reject or support   the null hypothesis, and a paraphrase of the   hypothesis supported by the data.

15. For your second hypothesis test, the landfill states that the weight of glass is 4.8 pounds per week per household. You see that most families are recycling their glass so you claim that the weight of glass in the garbage is less than 4.8 pounds. 

  

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 equal to   4.8 by completing a Hypothesis Test: One Mean in STATDISK. Use significance of 0.01. Paste results here. Remember that the pulldown menu in Statdisk must match the   alternative hypothesis statement.

 

Step 4. State your   conclusion. The conclusion statement has a prescribed format: it should   include a comparison of the p-value and alpha, whether you reject or support   the null hypothesis, and a paraphrase of the   hypothesis supported by the data. 

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? 

 

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

Submit your final draft of your Word file by going to Week 4, Project, and follow the directions under Week 4 Assignment 2Please use the naming convention “WK4Assgn2+last name + first initial” as the Submission Title.