As  part  of  a  specific  disease  prevention  program,  a  clinic  is  considering  setting  up  a
screening service in a town.  They are considering the following design:  After waiting in a
single line, each walk-in patient is served by one of three available nurses.  Each nurse has
their own booth, where the patient is first asked some medical health questions, then the
patient’s vitals are taken, and finally, a glucose test is performed to check for the disease.
In  this  design,  each  nurse  performs  the  tasks  in  sequence  for  the  patient.   If  the  glucose
test indicates a chance of the disease, the patient is sent to a separate clerk to schedule an
appointment for a follow-up at the clinic.  If the test is not positive, then the patient departs.
Patients’ are eager to get tested but they are reluctant to wait for to screening operations.
To clarify, if the number of people waiting for nurses is larger than 4, they prefer to go to
a park nearby the screening booths,  and spend 15 minutes therein.  After this 15 minute
period they again return to booths to check if the number of people is acceptable or not.
Noting that, there is no limit on the number of times for park visiting, i.e.  people are get
screened eventually.
Patients  arrive  to  the  system  according  to  an  exponential  distribution  with  a  mean
of  4  minutes.   Assume  that  there  is  a  5%  chance  that  the  glucose  test  will  be  positive.
For  the  given  design,  the  time  that  it  takes  to  have  the  paperwork  completed,  the  vitals
taken,  and  the  glucose  tested  are  all  lognormally  distributed  with  means  of  6.5,  6.0,  and
5.5 minutes, respectively.  They all have a standard deviation of approximately 0.5 minutes.
The  distribution  used  to  model  the  time  that  it  takes  to  schedule  a  follow-up  visit  is  a
WEIB(2.6, 7.3) distribution (in minutes).  Moreover, distance between park and screening
booths requires a travel time of uniformly distributed between 1 and 2 minutes.
In addition, nurses are working based on a schedule (valid for just nurses, not the clerk).
All breaks are given in a staggered manner that is, one nurse goes on break and immediately
upon  return  the  next  nurse  goes  on  break  until  all  nurses  have  had  their  breaks.   Nurses
are  kind  people,  hence  they  wait  until  the  patient  they  are  testing  is  done  and  returns
after  completing  their  scheduled  amount  of  time  for  the  breaks.   Assuming  the  screening
operations  start  at  8:00,  first  10  minute  breaks  should  be  given  starting  at  10:00.   Upon
completion  of  4  hours  of  work  (i.e.   at  12:00),  they  have  a  30  minute  lunch  break.   And
finally, at 15:00, they have one another small break session for 10 minutes.  The booths are
closed at 17:00.
•
Collect statistics for queue length, queue time and utilization of the resources for 30
replications.
•
State the average number of people screened as positive and negative.
•
What are the average cycle times for positive and negative patients

A Psychology Professor is interested in understanding the variability in final exam grades for his 100-level freshman Psychology Statistics class.  He hypothesizes that class absences would be negatively correlated with final exam grades, and that the students’ pre-college levels of math proficiency would be positively correlated with final exam grades. He also hypothesizes that the relationship between absences and final grades would be moderated by levels of Math proficiency.  The professor collects data for 35 students. Based on Placement Test Scores, obtained during pre-semester orientation/registration, 12 students had low (Developmental level) Math skills.  Thirteen students were proficient in basic 9th grade Arithmetic and Algebra only. And, 10 students had advanced Math skills at the Calculus level.  Math levels were recorded as 1 = Low Math Skills; 2 = Moderate Skills, and 3 = High math skills.  At the end of the semester, and for each student, the number of class absences was recorded, as were their final exam grades. Using the data appearing in the attached Week 3 Moderator “Statistics Grades.sav” SPSS data file, conduct a multiple regression analysis to examine the direct and interactive (moderator) effects of absences and Math level on final exam grades.  Summarize the results using correct APA style. Be sure to include the appropriate Tables and Graphs. Please use my sample summary for moderation as a guide for your summary. As you’ll see, my sample summary shows you what statistics to present and summarize in your papers, and how to present them in APA style format.
Assignment Requirements.
1-Describe the sample, the goals of the study, and the variables employed to conduct the study
2-Describe the analysis strategy – How will you analyze the data.
3-State the Null and Alternative Hypotheses
4-Conduct the multiple regression analysis in which grades is the DV (outcome), Math Levels, and Absences, as well as their centered interaction, are the IV (predictors).
5-Present and summarize the results for the Multiple Regression Analysis – including the effects for both IVs as well as the interaction.
6-Conduct, present, and summarize the results for the simple slopes analyses for each level of Math proficiency.  So, using the split file procedure in SPSS you must conduct 3 simple regression analysis in which the variable Grades is the DV (outcome) and Absences is the IV (predictor).
7-Create the appropriate table of results for the multiple regression analysis (you must refer to this table within the summary).
8-Create the appropriate table for the simple slopes analyses.
9-Create a simple slopes plot showing the regression of grades on absences for each Math level. You must refer to this figure within the summary.
10-Submit the summary as an MS-Word file; and please submit the SPSS output in a separate file.  That way I can see the analyses that you ran.
11-Please carefully read my sample summary (SAMPLE SUMMARY IS ATTACHED) and model your summary after it.  Also, you must read chapter 15 in the Warner text.
12-Please note that this analysis and summary must be your own original work, you may not share you work with any classmates.  I created the practice data and sample summary as an in-class problem, and I encourage you with work together on the practice problem. But not on the graded assignment

Identify the top three concepts or skills you learned in this course that you believe will be the most useful to you in your current or future professional career or education along with rationale as to their importance to someone in the field of business statistics. Also, provide at least one specific example to support your response.

The Assignment (Article Attached)
Write a 2- page critique of the research ( Not including page TITLE PAGE AND REFERENCE PAGE) you found in the includes responses to the following prompts:

• Why did the authors use moderation/mediation in their multiple regression model?
• Do you think moderation/mediation is the most appropriate choice? Why or why not?
• Did the authors display the results in a figure or table?

Here are the grading criteria for the Article Critique Assignments:
Paper provides a clear, 2–3 page critique of the article that displays the week’s assigned statistical test. The critique includes detailed responses to all of the following (a) the authors’ use of the particular test, (b) the extent to which the test was an appropriate choice to address the research question(s) of the study, (c) the authors’ appropriate use of visual data (if visual displays were provided), and (d) the extent to which the article results stand alone. Overall, the paper demonstrates an excellent understanding of the test and its application.
Paper is well organized, uses scholarly tone, follows APA style, uses original writing and proper paraphrasing, contains very few or no writing and/or spelling errors, and is fully consistent with graduate-level writing style. Paper contains multiple, appropriate and exemplary sources expected/required  for the assignment.
Paper includes a clear description of the chosen variables, their unit of analysis, and their levels of measurement. A clear visual display of the data (if appropriate) is also provided, and a detailed description is given about how these quantitative reasoning and analysis skills will translate into the ability to enact positive social change. Overall, the paper demonstrates an excellent understanding of the chosen variables and their utility.
Paper is well organized, uses scholarly tone, follows APA style, uses original writing and proper paraphrasing, contains very few or no writing and/or spelling errors, and is fully consistent with graduate-level writing style. Paper contains multiple, appropriate and exemplary sources expected/required for the assignment.