Seeratpal Singh 9210

docx

School

Chamberlain College of Nursing *

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Course

225

Subject

Statistics

Date

Jan 9, 2024

Type

docx

Pages

Uploaded by EarlArtGrouse39

Week 5 Lab Assignment Name:___Seeratpal Singh___ Instructor Name: __ Jeb Mijena Please use this template to help answer the questions listed in the lab instructions. The “steps” below refer to the steps listed in the lab instructions. Type your answers and post your screenshots in the spaces given below. Then, save this document with your name and submit it inside the course room. Step 1. Gather Data Your instructors will post 10 data values to use for this lab. The data values represent the HEIGHTS of 10 people. Please reach out to your instructor if you did not receive the assigned 10 data values for the term by Monday of Week 5. ( NOTE: This is NOT the data used in the lab video, which is about midterm grades. Do not use the midterm grades data.) 1a. Gather 10 MORE of your own to add to the 10 provided by your instructor. Do the following: Survey or measure 10 people to find their heights. Determine the mean and standard deviation for the 20 values by using the Week 3 Excel spreadsheet. (Round statistics to two decimals.) Mean Height in Inches 68.90 Sample Standard Deviation in inches 6.08 Your Height in Inches 64 1

1b. Post a screen shot in the space BELOW of the portion of the spreadsheet that helped you determine these values. Please list the 10 heights your professor provided first followed by the 10 heights you collected. There should be 20 values to determine the mean and sample standard deviation. 1c. Answer the following two questions (Answer in complete sentences). 2

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? My height of 64 inches is shorter than the mean (average) height of the 20 values, which is approximately 68.9 inches. Step 2. Data Characteristics Answer the following questions to give some background information on the group of people you used in your study. Write in complete sentences. 1. How did you choose the participants for your study? What was the sampling method: systematic, convenience, cluster, stratified, simple random? My study was simple random. I did not have a specific group to select from. 2. What part of the country did your study take place in? My study took place in the USA in New Jersey. 3. What are the age ranges of your participants? The age range is from 19 to 60. 4. How many of each gender did you have in your study? I chose 6 men and 4 women. 3

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5. What are other interesting factors about your group? I chose three racial groups, Caucasian, African American, and Hispanic. Step 3. Data Analysis Answer the following questions. Use the Week 5 Excel spreadsheets to help analyze the data. Empirical Rule 1. Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the 20 heights in your height study. (Use the Empirical Rule tab from the spreadsheet). For your height study, based on the Empirical Rule: 68% of the values lie within approximately 62.8 inches to 75.0 inches (mean ± 1 standard deviation). 95% of the values lie within approximately 56.7 inches to 81.1 inches (mean ± 2 standard deviations). 99.7% of the values lie within approximately 50.7 inches to 87.1 inches (mean ± 3 standard deviations). 2. What do these values tell you? Write complete sentences explaining what the values in the Empirical Rule tell you in context of the data. The Empirical Rule values from the height study suggest that there is a high likelihood (68%) that an individual's height will be within the range of 4

approximately 62.8 inches to 75.0 inches, a standard deviation from the mean height of 68.9 inches. Expanding this range to include two standard deviations, we see that 95% of individuals are expected to have heights between 56.7 inches and 81.1 inches, encompassing nearly all of the sample's variability. At three standard deviations from the mean, the range of 50.7 inches to 87.1 inches accounts for 99.7% of the sample, indicating that heights outside this range are extremely unusual. These ranges highlight the natural variability in human heights, with a clear trend towards clustering around the mean and progressively fewer individuals at more extreme heights. 3. Take a Screenshot of your Empirical Rule Sheet (Week 5 Spreadsheet) and provide it below Normal Distribution 1. Take a Screenshot of your Normal Distribution Sheet and provide it below 5

2. Based on your study results, what percent of the study participants are shorter than you? What percent are taller? Based on your study results, 15% of the study participants are shorter than me, and 85% are taller than me. Step 4. Save and submit this document 6

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Be sure your name is on the Word document, save it, and then submit it. In the assignment module, click “start assignment” and then “upload file” and “submit assignment”. 7

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