Guidance for iLab Report for Week 2 The dataset for the Week 2 iLab assignment resides in Doc Sharing as an Excel document, called \"Excel Data Sheet for iLab Assignments\". You will be using different columns of this Excel spreadsheet as variables in various iLab exercises in later weeks. The Word document for the iLab Report for Week 2 is available in Doc Sharing, rather than the Report that is available via a link under the iLab tab under Week 2 in eCollege. Statistical topics addressed in this iLab include: graphics, shapes of distributions, Descriptive Statistics and the Empirical Rule, all included in my Lecture / Discussion for Week 1. Instructions are given for using Excel and identifying the variables and observations contained on the spreadsheet of the basic Lab data cited above. Most of the iLab work, including generating charts, consists of utilizing Excel functions, which are specified in the \"iLab Week 2 Report.\" Prior Excel knowledge is basically limited to addressing the array of cells needed by a specific Excel function, as I indicated in the Correlation function on Chart 20 of the Lecture for Week 2, and as articulated in the file \"Introduction to Excel,\" which resides in Doc Sharing. The exact requirements for particular Excel functions may be discerned by clicking on the Function tab of any Excel spreadsheet and locating the specific Excel function, many of which reside under \"More Functions\" and then under \"Statistical.\" The graphing functions may be located on the \"Insert\" tab of any Excel spreadsheet. It is expected that you will copy the charts generated on an Excel worksheet and then paste them in the gray areas under the relevant questions on the \"iLab Week 2 Report\" using the commands on the \"Home\" tab under the Clipboard of the Excel sheet on which you are generating the initial charts. (Hand-drawn charts will not be acceptable.) Of course, this guidance assumes you have Excel on your own PC. If not, Excel 2013 can be accessed and transferred to your PC from the Software Store, which can be accessed under \"Course Resources\" under \"Course Home\" in eCollege. To access a spreadsheet containing Excel 2013, please proceed to the iLab tab under Course Home, register and download the Citrix receiver, which was one of the dozen tasks specified in \"Deliverables or Our First Class,\" which was contained in my initial Welcome email and now is available in Doc Sharing and as an Announcement. To be of further assistance, you probably should review the files I included in Doc Sharing, including: \"Introduction to Excel,\" \"Excel Descriptive Statistics,\" \"Excel "How To" Suggestions,\" \"Excel Data Analysis Tools of Interest\" (optional), and \"Excel Scatter Plots.\" Please note that to exactly follow the instructions to generate pie and histogram charts in Q1 and Q2 you must copy the necessary data from the dataset spreadsheet on an Excel spreadsheet available from the Citrix iLab, which uses Excel 2013. (There are other indirect and lengthier ways of using prior versions of Excel to generate these charts.) Prior versions of Excel will suffice to respond to the other questions and later iLab assignments in Weeks 4 and 6, although most students may not yet have used Pivot Tables in Q4. Please do not be confused by what appears to be a list of 14 Questions in a survey instrument on the last page of the Statistics -- iLab Word Document. This section is entitled "Code Sheet" and is only there to explain what the variables in the data set represent. In other words, the Code Sheet just lists the variable name and the question used by the researchers on the survey that produced the data included in the Excel data file. Those are not questions for you to answer, just information to be ignored! The first question (Q1) is listed as 1, under the title Creating Graphs. The gray areas directly below Questions Q1, Q2 and Q3 are to be populated, respectively, by a pie chart based on Column G, labelled Car; a histogram based on Column D, labelled Height; and a stem and leaf diagram based on Column I, labelled Money. These graphs or displays are to be copied from Excel worksheets to the gray areas, which will expand when you paste your graphs. Q4 calls for using the Descriptive Statistics (main topic of my Lecture / Discussion for Week 1) routine in Excel to determine your estimates of sample mean x-bar and standard deviation s for the observations given by the variable Height, column D, separately for each Gender, with the latter data residing in Column D of the original spreadsheet. Note that you cannot simply determine the mean and standard deviation of column D, which must first be bifurcated by Gender (in column F), via Pivot Tables. A file providing an Overview of Pivot Tables,\" resides in Doc Sharing, but the instructions on iLab Report for Week 2 are very clear. Alternatively, but not recommended, the Height data in column H can be sorted by Gender by manual sorting. Questions Q5 through Q9 call for describing distribution shapes or making comparisons based on the charts and diagrams generated in Q1-Q3 or the sample statistics in Q4. Complete English sentences are expected containing your interpretation of the data presented. For example, shapes of distributions may be described by uniform, symmetrical, one-sided tails and skewness (left or right), while comparisons of figures must include a description of this aspect of the data. Q10 and Q11 require simple calculations of lower and upper bounds based on the Empirical Rule applied to the sample statistics you displayed in Q4 for the two gender variables. Please always display the lower bound first. I am fully aware that this first iLab report, involving use of statistical and graphing functions may pose some initial hard work, especially for students rusty in using Excel. Therefore, I have prepared all the above-cited files as aids to getting started. MATH399 StatisticsLab Week 2 Question 1 is worth 5 points and each question after that is worth 4.5 points, for a total of 50 points for the lab. Name: _______________________ Statistical Concepts: Using Excel Graphics Shapes of distributions Descriptive statistics NOTE: Directions for all labs are given based on Excel 2013 for Windows. If you have another version of Excel, you may need to research how to do the same steps. Data in Excel Excel is a powerful, yet user-friendly, data analysis software package. You can launch Excel by finding the icon and double clicking on it. There are detailed instructions on how to obtain the graphs and statistics you need for this lab in each question. There is also a link to an Excel how to document on the iLab page where you opened this file. Further, if you need more explanation of the Excel functions you can do an internet search on the function like \"Excel standard deviation\" or \"Excel pivot table\" for a variety of directions and video demonstrations. Data have already been formatted and entered into an Excel worksheet. You will see the link on the page with this lab document. The names of each variable from the survey are in the first row of the worksheet. All other rows of the worksheet represent certain students' answers to the survey questions. Therefore, the rows are called observations and the columns are called variables. Below, you will find a code sheet that identifies the correspondence between the variable names and the survey questions. Survey Code Sheet: Do NOT answer these questions. The code sheet just lists the variables name and the question used by the researchers on the survey instrument that produced the data that are included in the Excel data file. This is just information. The first question for the lab is after the code sheet. Variable Name Drive State Shoe Height Sleep Gender Question Question 1: How long does it take you to drive to the school on average (to the nearest minute)? Question 2: In what state/country were you born? Question 3: What is your shoe size? Question 4: What is your height to the nearest inch? Question 5: How many hours did you sleep last night? Question 6: What is your gender? Version 20160511 Car TV Money Coin Question 7: What color of car do you drive? Question 8: How long (on average) do you spend a day watching TV? Question 9: How much money do you have with you right now? Question 10: Flip a coin 10 times. How many times did you get tails? Frequency Distributions 1. Create a frequency table for the variable State. In the Excel file, you can click on Data and then Sort and choose State as the variable on which to sort. Once sorted, you can count how many students are from each state. From that table, use a calculator to determine the relative percentages, as well as the cumulative percentages. In the box below, type the states from the database in a column to the left, then type the counts, and relative and cumulative frequencies to the right of the respective state. Using the data in the table, make a statement about what the frequency counts or percentages tell about the data. Creating Graphs 2. Create a bar chart for the frequency table in Question 1. Select the State variable values. Click on Insert and then click on the arrow on the bottom right of the Charts area and select Clustered Column and click OK. (Again, different versions of Excel may need different directions.) Add an appropriate title and axis label. Copy and paste the graph here. Version 20160511 3. Create a pie chart for the variable Car. Select the column with the Car variable, including the title of Car. Click on Insert, and then Recommended Charts. It should show a clustered column and click OK. Once the chart is shown, right click on the chart (main area) and select Change Chart Type. Select Pie and OK. Click on the pie slices, right click Add Data Labels, and select Add Data Callouts. Add an appropriate title. Copy and paste the chart here. Version 20160511 4. Create a histogram for the variable Height. Use the strategies in the text to create a frequency table of the heights using the categories of 60-64, 65-69, 70-74, and 75- 79. It may be helpful to sort the data based on the Height variable first. Create a new worksheet in Excel by clicking on the + along the bottom of the screen and type in the categories and the frequency for each category. Then, select the frequency table, click on Insert, then Recommended Charts and choose the column chart shown and click OK. Right-click on one of the bars and select Format Data Series. In the pop up box, change the Gap Width to 0. Add an appropriate title and axis label. Copy and paste the graph here. 5. Create a stem and leaf chart for the variable Money, using only the whole dollar amounts. This must be done by hand, as Excel cannot do this type of chart. Using the tens value as the stem and the ones value for the leaves, type a stem and leaf plot into the box below. It may be helpful to sort the data based on the Money variable first. Version 20160511 Calculating Descriptive Statistics 6. Calculate descriptive statistics for the variable Height by Gender. Click on Insert and then Pivot Table. Click in the top box and select all the data (including labels) from Height through Gender. Also click on new worksheet and then OK. On the right of the new sheet, click on Height and Gender, making sure that Gender is in the Rows box and Height is in the Values box. Click on the down arrow next to Height in the Values box and select Value Field Settings. In the pop up box, click Average, then OK. Type in the averages below. Then, click on the down arrow next to Height in the Values box again and select Value Field Settings. In the pop up box, click on StdDev then OK. Type the standard deviations below. Mean Standard Deviation Females Males Select File > Save Worksheet As to save the data set. You must either keep a copy of this data or download it again off the website for future labs. Short Answer Writing Assignment All answers should be complete sentences. 7. What is the most common color of car for students who participated in this survey? Explain how you arrived at your answer. 8. What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer. Version 20160511 9. What is seen in the stem and leaf plot for the money variable (including the shape)? Explain your answer. 10. Compare the mean for the heights of males and the mean for the heights of females in these data. Compare the values and explain what can be concluded based on the numbers. 11. Compare the standard deviation for the heights of males and the standard deviation for the heights of females in the class. Compare the values and explain what can be concluded based on the numbers. Version 20160511