WEEK 5 LAB ASSIGNMENT NORMAL DISTRIBUTION

Required Resources

Read/review the following resources for this activity:

  • OpenStax Textbook: Chapter 2, 6, and 7
  • Lesson
  • Weeks 3 and 5 Excel Spreadsheets

Scenario/Summary

This week’s lab highlights the use of probability and normal distribution.

Follow the directions below to gather data, calculate using Excel spreadsheets, and interpret the results.

Deliverables

The deliverable is a Word document with your answers to the questions posed below based on the data you find.

Required Software

  • Microsoft Word
  • Microsoft Excel

Prepare

–Download the Week 5 Lab Lecture Notes.  Download Week 5 Lab Lecture Notes. 

–Open the Instructor-provided 10 values: Ten initial Values to Use in your Weeks 5 & 7 Labs Download Ten initial Values to Use in your Weeks 5 & 7 Labs

Follow along with the Week 5 Lab Video and fill out the Week 5 Lab Lecture Notes as you watch the video.

Demonstrate

Steps to Complete Week 5 Lab

Use the Weeks 3 and 5 spreadsheets from the Weeks 3 and 5 Lessons to help you answer the questions below.

Step 1: Gather 10 HEIGHT VALUES IN INCHES of your own to add to the 10 provided by your instructor  Download 10 provided by your instructor 

Survey or measure 10 people to find their heights. Determine the mean and standard deviation for the 20 values (your 10 plus your instructor’s 10) by using the Week 3 Excel spreadsheet (Links to an external site.). Post a screen shot of the portion of the spreadsheet that helped you determine these values. How does your height compare to the mean (average) height of the 20 values? Is your height taller, shorter, or the same as the mean of the sample?

[Data Example of 10 people with different heights; your lab will have 20 values instead of 10]

Step 2: Give some background information on the group of people you used in your study. You might consider using the following questions to guide your answer.

  1. How did you choose the participants for your study? What was the sampling method: systematic, convenience, cluster, stratified, simple random?
  2. What part of the country did your study take place in?
  3. What are the age ranges of your participants?
  4. How many of each gender did you have in your study?
  5. What are other interesting factors about your group?

Step 3: Use the Week 5 Excel spreadsheet (Links to an external site.) for the following.

1. (Use the Empirical Rule tab from the spreadsheet). Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the 20 heights in your height study.

2. What do these values tell you?

3. Post a screen shot of your work from the Week 5 Excel spreadsheet.

Screenshot of Week 5 Excel spreadsheet for lab-1.png
[Week 5 Spreadsheet Example]

4. (Use the normal probability tab from the spreadsheet). Based on your study results, what percent of the study participants are shorter than you? What percent are taller than you?

5. Post a screen shot of your work from the Week 5 Excel spreadsheet.

Example: If my height is 73 inches, then 20.86% of the relevant population is shorter. The other 79.14%, of course, is taller.

Week 5 Spreadsheet Example

Step 4: Be sure your name is on the Word document, save it, and then submit it under “Assignments” and “Week 5: Lab”.

SOLUTION

The mean height from the spreadsheet is 67.1”. My height is 65 inches, which indicates that I am 2.1 inches shorter than the average height of the group. The group’s mean, standard deviation, and my height is as indicated below

  1. BACKGROUND INFORMATION

I selected the participants from the outpatient triage at my workplace. I used a systematic sampling method to pick patients who visited on a Monday for medical checkup; I selected 1 out of every 5 for the 50 patients that came that day. Using the information from the EMR, I was able to attain the participants’ height, age, as well as gender.

The study took place at El Paso, Texas, USA. In regard to age ranges, the participants were aged between 19 to 67. The participants were 4 males and 6 females. Other interesting facts about the participants were the fact that 2 were retired, 4 were actively employed, while the other 4 were in college. Additionally, of the 10 randomly selected participants, 4 were of African American descent, 2 white, and 2 Latinos.

  1. EMPIRICAL RULE

68% fall between 64.31” – 69.89”

95% fall between 61.52” – 72.68”

99.7% fall between 58.73” – 75.47”

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