Data & Statistics Projects

Project 2

Inferential Statistics

Austin Peay Building at Fort Campbell

Group Expectations

The group leader will immediately (within 2 days of the final Project 1 being due) assign Minitab and all report parts to the various group members, keeping the Wrapping It Up part for himself or herself.  The group leader is responsible for ensuring group members post their respective assigned parts of the project at least two days prior to the project due date - or even earlier if the leader specifies an earlier time when assigning parts, at the leader's discretion.  If a group member is late, the leader will reassign that member's part to active group members and will let the instructor know immediately.

If the group leader has not assigned roles within two to three days of Project 1, then the group should contact the instructor immediately.

Meetings:  Each group should meet before each report is due. Meetings before Project 1 will not count toward Project 2. Not all group members need to be involved in the meeting when schedules make that impractical.  All students are, however, required to contribute to each report to receive credit.  Any student who does not understand completely his or her assigned part should immediately ask for clarity and help from group members. Any member turning in his or her part late may receive a zero for the current project, especially if this part was assigned and completed by another member because of the lateness. 

1st Draft:  Before meetings and at least 48 hours before the report's due date on the syllabus (or earlier if the group leader specifies an earlier due date), each group member should post a draft version of their part of the report in their D2L group discussions.  Before meetings and at least 36 to 24 hours before each report is due, the group leader should post to the group project's assignments folder a draft of the entire report.  All group members are responsible for grading the assignments-folder-posted project with the rubric (attached to the assignments folder in D2L's Assignments area) and editing the project whenever the rubric is not met.  The group should go through the entire report, discussing each part and matching each part to the rubricEach group member is responsible for the clarity, completeness, and accuracy of the answers to all questions and the overall report presentation, style, and quality for the entire report, not just assigned parts.  If any group member feels a part of the report does not meet rubric specifications, is incorrect, or is lacking in any way, that part of the report should be discussed and revised in group discussions.

Evaluate your peers by submitting one peer review for each member of your group.  

Individual grades will start with the group grade and get multiplied by a factor. Factors for students contributing nothing would be 0. Factors for students contributing only data or meeting attendance might be 0.05 or 0.1, for example. Factors for students doing everything well and submitting everything on time, including 1) individual contributions, 2) peer reviews and 3) the email to me listing agreed-upon group members, can be 1.05 or perhaps even higher in extreme cases, again as long as everything has been on time and done well. Students who have not submitted these three on time will have factors similar to 0.9, 0.8, 0.7, 0.5, or even smaller depending greatly on how these late submissions affected the group. This factor gets multiplied by the group grade (and often rounded to the nearest half-point).

Report Expectations

In formal, professional reporting style, the full report for Project 1 needs to be written to include everything in the parts below, although the questions themselves should not be included. This report should read as if the reader has no knowledge of these questions nor any knowledge that the questions have prompted the writing of the report. The entire report should be in complete sentences and full paragraphs with the exception of tables, charts, graphs, equations, and lists of statistics. Everything from formatting to grammar to style should be as professional as possible.

To be successful with this project, students should:

  1. Use both Minitab and the calculator for each part.  
  2. Only save the project Minitab file when finished with the entire Project 2.  
  3. When rounding, give at least three significant digits for final answers and at least four significant digits for answers that will be used in future calculations.
  4. Present a neat, organized and clearly communicated project document.  Students have the latitude to present work on this project in any professional manner.
  5. Don't assume what the question is asking unless certain. Looking up items can dramatically improve the group grade.  Please feel free to ask questions in the Data & Statistics Projects discussion, especially when clarity is needed on what is being asked.
  6. Students who don't complete and post assignments to group discussions at least two days prior to the syllabus due date for the report will receive between 0% to 50% of the group project grade.
  7. Reports should be professionally written and completely without reference to this set of instructions or questions. Even though all questions and parts listed here should be addressed using the same or similar terminology within the report, preferably in order, the reader of the report should not be aware that the report was guided by a set of questions or instructions.

---
---

Minitab:  Inferential Statistics

Opening Minitab and start with the data worksheet you used in Project 1.  You can do this by using your Minitab file from Project 1 for Project 2, keeping the data and right-clicking and deleting all previous session items in the navigator.

In the Minitab session window, type the following in the session window by selecting the dropdown caret next to the function and selecting to Add a Note and telling:

                Your Group Name
                List of Group Members' Names
                MATH 1530 Elements of Statistics
                Project #2: Minitab

                Due Date:  (actually type the due date)
  

1 - Select Stat Basic Statistics 1-Sample t.  Click inside the right-side rectangle box. Double-click ages to put ages in the box. Be sure that the Perform hypothesis test box is unchecked in this step.  Select Options. At the Confidence Level, be sure it says 95, and be sure that the alternative is not equal to for this Step 1. Click OKClick OKThe confidence interval will be displayed in the session window.

2 - Select Stat Basic Statistics1 ProportionFrom the dropdown menu near the top right, select Summarized DataFor the number of events, type in the number of freshmen in your sample that appeared based on the tallies in Project 1. For the number of trials, type in your total sample size.  Be sure that the Perform hypothesis test box is unchecked in this step.  Under Options, at the Confidence Level, be sure it is 95. For method, select to use the normal approximation method from the dropdown menu.  Be sure that the alternative is not equal to for this Step 2. Click OK and OK. The confidence interval will be displayed in the session window.

3 - Select Stat Basic Statistics1t 1-Sample tAges should still be selected from Step 1. Check the box Perform Hypothesis Test and put 19 as the hypothesized mean. Under Options, choose > for the alternative symbol. Click OK and OK The test statistic and p-value will be displayed in the session window.

4 - Select Stat Basic Statistics1Proportion Our summarized data, number of events, and number of trials should still be the same that we selected and entered from Step 2. Check the box Perform Hypothesis Test and put 0.25 for the hypothesized proportion Under Options, select to use the normal approximation method, and from the dropdown menu choose > as the alternative hypothesis symbol.   Click OK and OK The test statistic and p-value will be displayed in the session window.

---

The Report

Here is a direct link to the YouTube video: https://youtu.be/Jq__XnPVS1c?si=8aZ336j-44cPiczf

1 - a) Copy and paste the age confidence interval results from Minitab into the report, leaving the table completely unaltered. b) Compute the 95% confidence interval for average age using your calculator interval function and the data option and report the calculator results including all of the digits that the calculator displays.  c) Compare Minitab and calculator results, explaining any discrepancies.  d) Interpret what these results for the confidence interval mean. 

2 - a) Copy and paste the status confidence interval results for the proportion of freshmen from Minitab into the report, leaving the table completely unaltered. b) Compute the 95% confidence interval for the proportion of freshmen using your calculator interval function and report the calculator results including all of the digits that the calculator displays.  c) Compare Minitab and calculator results, explaining any discrepancies.  d) Interpret what these results for the confidence interval mean.  

3 - a) Copy and paste the age hypothesis test results from Minitab into the report, leaving the table completely unaltered. b) Compute the hypothesis test, with alpha of 0.05, of the average age as more than 19 using your calculator test function and the data option and report the calculator results including all of the digits that the calculator displays for the test statistic and the p-value.  c) Compare Minitab and calculator results, explaining any discrepancies. 

d) Provide the complete hypothesis test, using our textbook as a resource:

4 - a) Copy and paste the status hypothesis test results for the proportion of freshmen from Minitab into the report, leaving the table completely unaltered. b) Compute the hypothesis test, with alpha of 0.05, of the proportion of freshmen as more than 0.25 using your calculator test function and report the calculator results including all of the digits that the calculator displays for the test statistic and the p-value.  c) Compare Minitab and calculator results, explaining any discrepancies.  

d) Provide the complete hypothesis test, using our textbook as a resource:

---

Wrapping It Up

Have a paragraph at the end detailing what exactly each group member did to contribute to the entire group effort. 

Tell when, where, who met, and for how long regarding the group meeting for Project 2.

The report should have a title page with a title for the paper, Math 1530, the date, the name of the group, and a list of the group members. 

Save your MS Word document as Project2_GroupName.doc or Project2_GroupName.docx

Load the files to the assignments folders.  Open the files straight from the assignments folders so that you can grade the files that are in the assignments folders.  Grade your report, correcting anything in the report that fails to fully satisfy the rubric.

After grading and correcting your report, load the report to D2L's Project 2 Report assignments folder.  Every single group member needs to reopen the MS Word report straight from the assignments folder to make sure that all parts are completely answered and that this report is the latest, best-edited version.  Every single group member will be held responsible for making sure that the report is accurate, complete, and of the highest quality by grading the report with the rubric (attached to the folder in D2L's Assignments area). 

Evaluate your peers by submitting one peer review for each member of your group.  Individual grades will greatly depend on turning in your own evaluations by the due date and in the evaluations of you by fellow group members as well as evidence in what you did in that last report paragraph and in the discussion forum.

---