Week 5 Math Lab Assignment (Math Problem Sample)

MATH225 Week 5 Lab Assignment Name:________________________ Instructor Name: _______________ 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 from the same population in which you gathered your sample. 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. For the remainder of this lab, treat the 20 numbers as ONE sample. Instructor Provided Heights 62 62 62 63 65 67 68 69 69 73 Gathered Heights 60 61 61 63 64 64 66 66 67 70 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 65.1000 Sample Standard Deviation in inches 3.5079 Your Height in Inches 69 1b. Post a screen shot in the space BELOW of the portion of the Week 3 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. Data 62 62 62 63 65 67 68 69 69 73 60 61 61 63 64 64 66 66 67 70 1c. Answer the following two questions (Answer in complete sentences). 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 is 69 inches, which is slightly taller than the average mean of 65.1 in the sample population. This variation indicates that most of the participants chosen for the sampling ranged between 64 and 66 percent of the total population. 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, etc.? Explain how you concluded that you used the selected sampling method. Most of the time, I usually go for football exercises at the Westside Stadium near my residence. Last weekend, I did a simple random method by gathering our team players and requested I use their heights for the Math lab assignment. I proceeded with data collection using simple random sampling, and I randomly selected 10 of the football players out of the population. In this sampling technique, each member of the total population has an accurately equal chance of being selected. 2. What part of the country did your study take place in? Illinois State 3. What are the age ranges of your participants? 23-28 Years 4. How many of each gender did you have in your study? 6 – Males 4 – Females 5. Identify the population based on the sample gathered. For example, if you sampled people that worked on your floor in the hospital, your population may be all employees at your hospital or if you sampled your neighbors, maybe the population is everyone who lives in your city. Football players who live in Illinois States  Step 3. Data Analysis Answer the following questions. Use the Week 5 Excel spreadsheets to help analyze the data. For the remainder of the lab, suppose the population has the same mean and standard deviation as your sample. Empirical Rule 1. Determine the 68%, 95%, and 99.7% values of the Empirical Rule using the population mean and standard deviation. (Use the Empirical Rule tab from the Week 5 spreadsheet). 1 68% values of Empirical Rule: 61.5291 2 95% values of Empirical Rule: 58.0842 3 99% values of Empirical Rule: 54.5763 2. Take a Screenshot of your Empirical Rule Sheet and provide it below. ANSWER     Empirical Rule 68-95-99.7 mean 65.1   Lower number Upper number   standard deviation 3.5079 68% 61.5921 68.61 95% 58.0842 72.12 99.70% 54.5763 ...