How does your height compare to the mean (average) height of the 20 values?
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. This data set is posted in the FILES area, in the “Lab Files” folder. ( 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 heights on 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. )
Sample mean = 66.35
Sample standard deviation = 2.81
1b. Post a screen shot in the space BELOW of the portion of the spreadsheet that helped you determine these values. The screenshot should show ALL 20 pieces of data. Make sure the instructor data is listed first and then your data is listed under.
1c. Answer the following two questions. Use at least two sentences to answer each question.
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?
I am above the average height. I am 69 inches tall. Also, the sample mean’s height statistic is smaller than mine by about 2.75 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 at least two sentences for each question.
1. How did you choose the participants for your study? What was the sampling method: systematic, convenience, cluster, stratified, simple random?
Since I have a tight schedule, my sample method was convenience sampling. I only measured the height of my colleagues at the workplace. It was quite difficult to convince them to it but I managed to get 10 of them for the purpose
2. What part of the country did your study take place in?
I stay and work in Georgia. The measurements I took were from the workmates in the state of Georgia
3. What are the age ranges of your participants?
All of them are adults. They were aged between 25 years to 36 years
4. How many of each gender did you have in your study?
I measured 3 women and 6 men. Men were very cooperative participants.
5. What are other interesting factors about your group?
A majority of the people measured were men. Also, all of them were above 30 years. One woman was 25 years, the youngest in the group.
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).
2. What do these values tell you? (Write at least one paragraph.)
The sample collected provided various results that could be summarized via the empirical rule. One standard deviation from the mean, 68%, of the heights will be between 63.54 inches and 69.16 inches. Two standard deviations from the mean, 95%, of the heights will be between 60.73 inches and 71.97 inches. Three standard deviations from the mean that is about 99.7%, of the heights will be between 57.92 inches and 74.78 inches. This implies that an inference from this sample to the general population of the people aged 25 – 36 years in Georgia may fall between 57.92 inches and 74.78 inches.
Normal Distribution
3. Based on your study results, what percent of the study participants are shorter than you? What percent are taller than you? ( Use the normal probability tab from the spreadsheet ).
The proportion of participants shorter than me are 82.72%. In addition to this, 17.28% of the participants are taller than me.
4. Post a screen shot of the normal distribution from the Week 5 Excel spreadsheet to support your answer above..
Step 4. Save and submit this document
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”.