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Stat 101Name(s): ________________________________________Mid-Term Applications Assignment (60 points) DUE: March 19, 2019Introduction: This assignment is composed of three descriptive statistics applications (plus a warmup item). Two applications will require the use of SPSS.Instructions:You may work alone or in conjunction with a maximum of two other individuals (max. group size = 3). If you elect to work with others, please submit only one copy of the assignment with all participants noted above. Please be neat and orderly in your written responses.General Grading, as presented on prior assignments, is in place for this assignment (-.5/error, etc.)Complete the following two problems on this sheet.Create two Word documents for Applications II & III. Submit: This sheet and separate analysis documents for applications II & III.SPSS: Remember that in addition to the instructions provided here, there is a SPSS manual online.WARM-UP: FREQUENCY TABLE COMPONENTS [6]A quantitative data set has been placed into a grouped-data table using equal width classes of width = 6.A) [2] If the midpoint of the second class is 29.5, what are its lower and upper boundaries? _____ and _____B) [2] What are the lower and upper class limits of the fourth class? ___________ and ____________C) [2] Into which class would an observation of 32.5 go? 1st 2nd 3rd 4th APPLICATION I: GLOBAL CLIMATE CHANGE [9]: The Pew Center on Global Climate Change reports that possible global warming is largely a result of human activity that produces carbon dioxide emissions and other greenhouse gases. The CO2 emissions from fossil fuel combustion are the result of the generation of electricity, heating, industrial processes, and gas consumption in automobiles. The Human Development Report 2003 published by the United Nations Development Programme reported the per capita CO2 emissions in 1999 by country. For the eight largest countries in population size (which make up more than half the world population) the values were, in metric tons per person: China 2.3 India 1.1 United States 19.7 Indonesia 1.2 Brazil 1.8 Russia 9.8 Pakistan 0.7 Bangladesh 0.2Determine the mean, median and mode for CO2 emissions for these eight countries. Show the formula and calculations, as needed [4].MEAN: ________MEDIAN: _________MODE: __________Draw a Dot Plot of these data and indicate on the dot plot the location of both the mean and the median [3].Given the CO2 emissions values, is there any value that might be considered an outlier (an unusual value that one might want to check)? [2] NOYESIf YES, which value: __________If you feel that there is an outlier, discuss its impact on the median and the mean.Impact on median: __________________________________________________________________________________________________________________________Impact on mean: ____________________________________________________________________________________________________________________________APPLICATION II: SPSS - Analysis of Random Acts of Kindness (RAK) [20]: 46243814934100During an earlier class I asked you to respond to three questions: 1) would you tell someone the time; 2) would you help a woman pick up her groceries; and 3) would you loan your cell phone to a stranger. In each case you have committed an act to assist someone else. Do these actions differ?Statistical Data [2]: Selected variables from the data collection are noted to the right. Transfer those data tables below the CLASS DATA headingSPSS Output [4]: For the large sample data, go to my web page and open the data file entitled Class_Survey_(Selected Variables).sav. Obtain frequency tables of the variables q6 (time) and q10 (groceries) and insert the frequency and relative frequency data into the tables below the LARGE SAMPLE DATA heading. Obtain a contingency table (crosstabs) of the variable q20 and insert the information sought in the contingency table located below the Large Sample Data heading. [How To for Contingency Table: Analyze > Descriptive Statistics > Crosstabs > objective variable Rows > GENDER to Columns > Cells > select ONLY Col % > Continue > Ok] Paper Format:Your document, which is limited to ONE sheet of paper (two-sides), containing the sections outlined below.Please do not use text boxes for your discussion. Please separate sections of your paper by using the “side-headings” presented below.Transfer a copy of the empty tables (below) into the document (an Excel version is available on the Class Assignment link, or make your own). Hand entry of data here or enter it into the excel sheet and transfer it into your report..Paper Header: March 2019 Mid-Term Stat Application IV: m&m’sName(s): ____________________26847536906700Paper Sections (use as paper section headings):Introduction [2]: Here identify the objective of the analysis. What is it that we are looking for (see RAK discussion) and the types of statistical analysis that will be presented (see below).Tables for Small Sample data (Class data) [3]: Review the frequency and relative frequency data contained in the CLASS DATA. Discuss any differences/trends you observe across the three variables. What have you learned by building a contingency table for the phone variable?Tables for Large Sample data [3]: Review the frequency and relative frequency data contained in the LARGE SAMPLE DATA. Discuss any differences/trends you observe across the three variables. What have you learned by building a contingency table for the phone variable?Comparison of Small and Large Sample data [3]: Look at the results collected at both sample sizes for each variable. Do the result differ? Do you feel that a small sample could substitute for a larger one? Are the trends across variables similar? Summary [3]: Briefly restate the objective followed by a summary of key points from each of the previous three sections. As a concluding statement, suggest why the results for the phone variable varies so much from the others.APPLICATION III SPSS - m&m’s [25]:The following analysis requires tables and charts obtained through SPSS. Open the SPSS data file “m&m_1.69_oz_samples_thru_SP2019.sav” located on the course Data Files link. Objective: The Mars Wrigley Confectionary Company has hired you to examine the contents of their 1.69-ounce bags of m&m’s. For this portion of the study your objective it to determine trends in the number of m&m’s contained within 1.69-ounce bags.Process: Write a brief paper containing the following: 1) Introductory paragraph; 2) Examination of the distribution shape; 3) Examination of bag filling consistency across semesters; 4) Effects of weird stuff; and 5) Summary of your analysis.-70485018542000Paper Format:Your document, which is limited to ONE sheet of paper (two-sides), is to contain the following sections outlined below.Please do not use text boxes for your discussion. Please separate sections of your paper by using the “side-headings” presented below.Paper Header: March 2019 Mid-Term Stat Application IV: m&m’sName(s): ____________________SPSS Output you will need [7]:Obtain the following items, all for the variable COUNT. Use these statistics and tables to address the paper sections listed below. 1) Frequency Table AND a2) Statistics Table that includes: mean, median, mode, standard deviation, range, minimum, maximum, skew, quartiles AND SUM. [NOTE: These two tables may be obtained at the same time via: Analyze > Descriptive Statistics > Frequencies > move COUNT to the right > select the Statistics button > check off the required stats > Continue > OK]3) Line Chart: [How To: Graphs > Legacy Dialog > Line > Define (don’t change anything here) > top right select Other Statistic and move COUNT to the other cell > move SEMESTER to the Category Axis (this is our time variable) > select the Titles button and enter the chart title: Figure 2: Mean Number of Candies in a 1.69 Ounce bag by Semester > Continue > Ok]4)Histogram with a superimposed normal curve: [How To: Graphs > Legacy Dialog > Histogram > move COUNT to top right cell > select the Display Normal Curve > > select the Titles button and enter the chart title: Figure 1: Number of Candies in a 1.69 Ounce bag of m&m’s > Continue > Ok] 5) Comparison of semester means: [How To: Analyze > Compare Means > Means > move COUNT to the dependent list AND SEMESTER to the independent cell > Options button > move Median and skew to the right (plus any others you think you might want to use) > Continue > OK. The table is a bit long, but it contains stats by semester since the early 2000’s. The bottom line contains the overall stats.Table/Chart Titles: To place titles on these items you generally can do so by selecting the Titles button when making them or by double-clicking on a completed table/chart (Title is on the Options menu item). Suggestions: Table 1: frequency table title; Table 2: stats title; Table 3: means table title (here you have to double-click on the REPORT header); Figure 1: histogram title; Figure 2: line chart title. Paper Sections (use as paper section headings):Introduction [2]: Here identify the objective of the analysis (see above) and the types of statistical analysis that will be presented (see below).Distribution Shape [5]: Question to address: How would you characterize the shape of the overall distribution of candies in 1.69 oz. bags? Use the histogram to discuss the overall shape of the distribution. In support of that chart is the SKEW statistic. If that statistic is between -1.0 and +1.0, we would consider the distribution normal. A value of zero would indicate a perfect bell shape. Incorporate in your presentation the histogram and a review of the skew statistics. You could also review the skew across semester data taken from the means table. Mean Count [5]: Are individual bags consistently filled with the same number of candies? Use the table and statistics obtained to address this concern; a concern that the company would have as too few and complaints come in, while too many and profits are lost.Weird Stuff [3]: So, you have opened one of these bags - well most of you have. Look through the statistics for unusual values. How might you address these in terms of your data analysis? Given the size of the sample n, would deleting an unusual bag count have any effect on the overall results (you have a Sum stat)?Summary [3]: Briefly restate the objective followed by a summary of key points from each of the previous three sections. ................
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