Drive (miles) 4 6 6 20 25 25 28 29 33 36 36 36 36 36 40 42 42 54 54 55 63 63 71 71 73 76 76 76 78 80 80 80 80 88 94 State MI SC OR MI GA CA NY TX SC TX CA MI TX OR IL FL IL FL NY OH PA OR MI MI FL NY MI PA CA PA PA CA NV MI KY Shoe Size 9 8 13 5 8 8 7 9 11 7 12 10 11 9 8 8 8 9 11 8 8 5 13 8 12 9 11 11 9 9 9 8 12 6 11 Height (inches) 69 67 75 62 69 69 67 70 65 66 71 65 69 65 68 63 65 70 70 67 66 60 74 64 65 65 72 71 71 65 62 70 69 63 74 Sleep (hours) 7 4 10 7 7 6 4 7 8 7 7 7 6 7 6 7 8 8 7 7 8 8 7 6 7 7 6 4 7 5 4 8 7 5 8 Gender Car Color F blue F red M red F black M silver F silver F black M silver M blue M orange M silver M blue M black M red M green F red F red F green M black F dark blue F silver F blue M orange F blue F red F red M green M silver M blue F red F red F black M white F red M red TV (hours) 5 5 6 3 3 4 1 6 1 3 3 3 5 5 5 3 4 2 5 4 3 4 2 5 4 3 5 5 2 1 1 2 4 3 3 Money (dollars) 34.00 44.00 9.00 21.00 53.00 45.00 41.00 43.00 20.00 7.00 5.00 5.00 52.00 40.00 31.00 48.00 5.00 7.00 20.00 43.00 7.00 53.00 46.00 1.00 29.00 10.00 37.00 23.00 47.00 40.00 47.00 16.00 3.00 45.00 32.00 Coin 5 5 4 4 4 4 4 3 4 3 5 7 3 5 4 5 4 4 4 4 7 4 4 4 3 6 4 5 2 4 4 7 4 6 4 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. 1 MATH 221 Statistics for Decision Making Week 2 iLab Name:_______________________ Statistical Concepts that you will learn after completing this iLab: Using Excel for Statistics Graphics Shapes of Distributions Descriptive Statistics Empirical Rule Week 2 iLab Instructions-BEGIN Data have already been formatted and entered into an Excel worksheet. The data file for this iLab Report is available in \"Excel Data Sheet for iLab Assignments\". The names of each variable from the survey are in the first row of the Worksheet. This row has a background color of gray to identify it as the variable names. All other rows of the Worksheet represent a certain students' answers to the survey questions. Therefore, the rows are called observations and the columns are called variables. On page 6 of this iLab Report, you will find a code sheet that identifies the correspondence between the variable names and the survey questions. Follow the directions below and then paste the graphs from Excel in the grey areas for Questions 1 through 3. Type your answers to Questions 4 through 11 where noted in the grey areas. When asked for explanations, please give thorough, multi-sentence or paragraph-length explanations. PLEASE NOTE that various versions of Excel may have slightly different formula commands. For example, some versions use =STDEV.S while other versions would use =STDEV or STDEVS(without the dot before the last \"S\"). Please view the files 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 follow the Excel instructions in the iLab report just for the Week 2 graphics, it will be necessary to use Excel 2013. Find the Excel spreadsheet by visiting the Citrix iLab, if you have an earlier version of Excel on your PC or laptop. [Follow the initial instructions outlined in the Announcement, \"Deliverables for our First Class,\" and then click on iLab under Course Home.] 2 To respond to Question 4, which calls for determining sample means x-bar and standard deviations s, cutting across two variables, it will be necessary to use an advanced Excel capability, Pivot Table, which can be accessed on the Insert ribbon, and is further described in the file, \"Excel Pivot Tables,\" in Doc Sharing. Follow the instructions outlined in Question 4 below. The completed iLab Word Document with your responses to the 11 questions will be the ONE and only document submitted to the Dropbox. When saving and submitting the document, use the following format: Last Name_ First Name_Week2iLab. Week 2 iLab Instructions-END Creating Graphs 1. Create a pie chart for the variable Car Color: Select column G with the Car variable, including the title of Car Color. 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. (4 points) 2. Create a histogram for the variable Height in column D. You need to create a frequency distribution for the data by hand. Use 5 classes, find the class width, and then create the classes. Once you have the classes, count how many data points fall within each class. 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 3 Width to 0. Add an appropriate title and axis label. Copy and paste the graph here. (4 points) 3. Type up a stem-and-leaf plot chart in the box below for the variable Money in column I, with a space between the stems and the group of leaves in each line. Use the tens value as the stem and the ones value for the leaves. It may be helpful to sort the data based on the Money variable first. [Hint: You may sort a column of numbers in Excel by the following steps: 1. Select a column of numeric data in a range of cells. 2. On the Data tab, in the Sort & Filter group, to sort from low numbers to high numbers, click Sort Smallest to Largest.] An example of a stem-and-leaf plot would look like this: 1 2 3 4 5 6 9 3 5 6 3 6 9 2 The stem-and-leaf plot shown above would be for data 4, 5, 6, 9, 3, 15, 16, 13, 16, 29, and 22. (4 points) Calculating Descriptive Statistics 4 4. Calculate descriptive statistics for the variable Height by Gender (in column F). 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. (3 points) Mean Standard deviation Females Males Short Answer Writing Assignment All answers should be complete sentences. 5. What is the most common color of car for students who participated in this survey? Explain how you arrived at your answer. (5 points) 6. What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer. (5 points) 7. What is seen in the stem and leaf plot for the money variable (include the shape)? Explain your answer. (5 points) 5 8. 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. (5 points) 9. 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. (5 points) 10. Using the empirical rule, 95% of female heights should be between what two values? Either show work or explain how your answer was calculated. (5 points) 11. Using the empirical rule, 68% of male heights should be between what two values? Either show work or explain how your answer was calculated. (5 points) 6 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 data file. This is just information. The first question for the lab is after the code sheet. Variable Name Drive State Temp Rank Height Shoe Sleep Gender Race Car TV Money Coin Die1 Die2 Die3 Die4 Die5 Die6 Die7 Die8 Die9 Die10 Question Question 1 - How long does it take you to drive to the school on average (to the nearest minute)? Question 2 - What state/country were you born? Question 3 - What is the temperature outside right now? Question 4 - Rank all of the courses you are currently taking. The class you look most forward to taking will be ranked one, next two, and so on. What is the rank assigned to this class? Question 5 - What is your height to the nearest inch? Question 6 - What is your shoe size? Question 7 - How many hours did you sleep last night? Question 8 - What is your gender? Question 9 - What is your race? Question 10 - What color of car do you drive? Question 11 - How long (on average) do you spend a day watching TV? Question 12 - How much money do you have with you right now? Question 13 - Flip a coin 10 times. How many times did you get tails? Question 14 - Roll a six-sided die 10 times and record the results