STATISTICAL ANALYSIS AND MODELLING FOR BUSINESS (BUS6090 - Section 2) Midterm - Show your work! NAME _________________ Use the Excel data file named Midterm Bus6090 data.xlsx to answer questions 1 - 5. 1. 2. 3. 4. 5. Pie chart Bar graph Measures of central tendencies Histogram Pivot table Nabisco came out with a new cookie named YUMMY-Os. The cookies were sold in 12 major grocery store chains for three months and the number of the unit sales was recorded from each of he companies. The data (in 1000s) fit a normal distribution curve with N(150, 15). 6. 50% of the lowest unit sales were under what number? 50% of the lowest unit sales were under 150,000 7. 50% of the greatest unit sales were over what number? 50% of the greatest unit sales were over 150,000 8. What percent of the YUMMY-O sales were between 135 and 165 (1000s)? 68 of the yummy O sales were between 135,000 and 165,000 150,000 (mean) - 15000(S.D) =135,000 150,000 (mean) + 15000(S.D) = 165,000 9. The top 2.5% of the unit sales were over what number? As mean +/- s.d will cover 95 of data, 2.5 will be left on either side totaling to 5% The top 2.5% of the unit sales were over 150,000 (mean) + 2 * 15,000 (S.D) = 180,000 10. The lowest 16% of the unit sales were under what number? 68 % of data is normally distributed across mean leaving 16% on each side totaling to 32% The lowest 16% of the unit sales were under 150,000 (mean) - 1 * 15,000 (S.D) = 135,000 A Quality Control Manager for an ice cream manufacturer selected 50 cartons of ice cream at random and weighed them. The data fit a normal distribution curve with a mean of 15.85 ounces with a standard deviation of 0.50 ounces. 11. What is the probability that an individual carton of ice cream will weigh under 15.85 grams? 12. What is the probability that an individual carton of ice cream will weigh under 15.00 grams? 13. What is the probability that an individual carton of ice cream will over 17.00 grams? 14. The top 5% of the ice cream cartons will weigh over what weight? 15. CASH COW, an investment firm, has made a list of which companies that they believed were the top 100 highest earning stocks. The mean growth of all of the companies follows a normal distribution with a mean increase of 6.62 points with a standard deviation of 1.24 point increase. Sasha just earned her MBA and was hired by CASH COW. The first thing she did was to select a different 100 companies and recorded their growth. The mean of her 100 companies was 7.08 points. She made a presentation to the Chief Operating Officer and the Board of Trustees and tried to convince them that CASH COW should invest in her 100 companies because they had made a significant more amount than their current 100 companies. Does the evidence prove her correct? a) b) c) d) e) f) What is the null hypothesis? What is the alternative hypothesis? Is this a one-tailed or a two-tailed test? What is the test statistic? What is the P-value? Do we accept or reject the null hypothesis at the 5% level of significance? (Is it statistically significant at the 5% level? (alpha = .05)) 16. The Human Resources Office stated (claimed) that the average number of sick days that employees took each year was 5.2. Jorge, the HR Officer in the Los Angeles Office, counted the number of sick days taken by their 24 employees. He said that the 5.2 average number of sick days was too low for the LA Office. Was he correct? Prove it by answering the questions below. a. What is the null hypothesis? b. What is the alternative hypothesis? c. What is the Independent Variable (IV)? d. What is the Dependent Variable (DV)? c. What is the test statistic? d. What is the P-value? e. Do we accept or reject the null hypothesis at the 5% level of significance? 17. The CEO of Benny's Restaurant compared the January sales between the top 20 restaurants in District 1 and District 2. See the data (in 1000s) below. She stated that District 2 had significantly higher sales, on average, than District 1. Answer the questions below to prove, or disprove, her statement. Restaurant 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 a. What is the null hypothesis? b. What is the alternative hypothesis? c. Is this a one-tailed or two-tailed test? d. What is the test statistic? District 1 208 206 206 203 199 198 191 182 161 157 154 149 145 142 141 140 137 134 130 129 District 2 205 204 204 198 196 192 191 183 182 182 181 159 156 154 152 151 150 144 141 125 e. What is the P-value? f. Do we accept or reject the null hypothesis at the 5% level of significance? 18. A new report of Job Satisfaction Scores was put out by the Human Resources Department. Use the appropriate statistical analysis to determine if there is a significant difference between the Sales Department and Management. Employee 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sales 32 77 45 46 52 76 51 43 68 73 53 70 49 47 Managemen t 50 67 60 63 91 53 85 57 61 61 73 78 71 87 a. What is the null hypothesis? b. What is the alternative hypothesis? c. Is this a one-tailed or two-tailed test? d. What is the test statistic? e. What is the P-value? f. Do we accept or reject the null hypothesis at the 5% level of significance? 19. The Sales Manager at Big Al's Kitchen Appliance Store hired a new consultant to try and increase the number of appliances being sold. All employees attended sales training from the new consultant on every Friday for the entire month of July. Below are the employees' sales numbers for the months of June and August. Use the appropriate statistical analysis to determine if there was a significant increase in the number of employee sales between the months of June and August. Employee 1 2 3 4 5 6 7 8 9 10 11 12 13 14 June Sales 11 14 14 11 6 10 6 7 6 12 11 6 7 11 August Sales 13 11 6 16 10 18 15 13 17 12 14 8 7 16 a. What is the null hypothesis? b. What is the alternative hypothesis? c. Is this a one-tailed or two-tailed test? d. What is the test statistic? e. What is the P-value? f. Do we accept or reject the null hypothesis at the 5% level of significance? g. Do we accept or reject the null hypothesis at the 1% level of significance? 20. Busway Sandwiches needed to trim its annual budget so it decided to record the daily sales of the 5 lowest producing stores, and close the store with the lowest weekly average sales. Assume that the data below did not violate any of the three assumptions and run a one-way ANOVA to determine if there was a significant difference in the weekly sales. Monday Tuesday Wednesda y Thursday Friday Saturday Sunday National City 545 736 El Cajon 1083 919 San Diego 683 679 Chula Vista 992 887 Del Mar 623 838 582 595 915 1165 885 642 959 1081 1001 1010 611 976 1200 1160 1141 885 966 659 1035 980 388 489 716 899 383 a. What is the null hypothesis? b. What is the alternative hypothesis? c. What is the test statistic? d. What is the P-value? e. Was there a significant difference between the weekly sales? f. According to the data, which store would you recommend to be closed? 21. Is there a significant difference in the average number of pushups between the 5 groups? Prove it, or not. 1 2 3 4 Marines 32 37 42 34 SEALS 37 47 35 38 Green Berets 50 38 49 38 Sports Professionals 45 36 36 45 Statistics Teachers 42 47 40 37 5 6 7 42 43 38 46 39 35 35 37 39 36 35 39 22. Below is the recorded data between Annual Salaries and Job Satisfaction scores. Annual Salaries 67265 69307 56053 51139 72933 70637 36701 61033 64276 74418 Job Satisfaction 74 37 74 66 76 42 74 44 38 38 a) Which is the response variable and which is the explanatory variable? b) Draw a scatterplot of the data. c) What is the correlation? d) Is there a strong or weak relation between the variables? e) A positive or negative association? 41 35 48 f) What is the equation for the linear regression? g) True or false? The higher the Annual Salary the higher the Job Satisfaction scores. 23. Below is the recorded data between Ice Cream Sales and the number of Violent Crimes. Ice Cream Sales 105 91 86 91 95 85 88 85 95 86 Violent Crimes 59 44 39 41 44 45 40 42 55 43 a) Which is the response variable and which is the explanatory variable? b) Draw a scatterplot of the data. c) What is the correlation? d) Is there a strong or weak relation between the variables? e) A positive or negative association? f) What is the equation for the linear regression? g) True or false? The higher the Ice Cream Sales the higher the number of Violent Crimes. h) What might be a \"lurking\" variable in this analysis? 24. Below is the recorded data of 20 employees. Do the Average Number of Sick Days, Years of Service, and Annual Salary predict the number of Promotions? Please run a multiple regression and answer the questions below. ID # Average Number of Sick Days 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1.12 1.68 1.88 2.06 2.4 2.56 2.89 3.88 3.94 3.76 3.95 5.4 3.18 3.64 2.66 2.96 3.05 2.81 3.05 3.64 Years of Servic e 19 30 30 13 19 31 31 21 25 26 25 25 25 26 18 10 19 13 13 12 Annua l Salary Job Promotions 65 47 47 53 65 48 47 60 55 53 54 47 47 48 65 57 49 65 65 65 5 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 a) According to the ANOVA table, is the regression model statistically significant? b) What was the effect size? Was it strong, medium or weak? What does effect size mean? c) Which of the three predictors are significant predictors of Job Promotions? d) Which predictor was the strongest? e) Please write out the regression equation. 25. Below is the recorded data of 14 students. Do the Average Number of Absences, Hours of Study, and Pretest Scores predict the Final Exam scores? Please run a multiple regression and answer the questions below. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Absences Hours of Study Pretest scores Final Exam Scores 0 0 1 2 2 3 3 2 5 6 6 3 4 6 12 11 11 10 10 10 10 9 9 8 8 4 5 3 51 26 58 57 41 96 53 30 100 58 36 56 98 69 99 97 83 79 79 77 77 74 69 67 66 60 60 48 a) According to the ANOVA table, is the regression model statistically significant? b) What was the effect size? Was it strong, medium or weak? What does effect size mean? c) Which of the three predictors are significant predictors of Final Exam Scores? d) Which predictor was the strongest? e) Please write out the regression equation. Twenty five employees took a company survey on benefits. Please make a pie chart from the data below that illustrates the percentage of each company department. Employee Department 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Staf Management Staf Sales Administration Management Staf Sales Staf Management Staf Sales Administration Management Staf Sales Administration Sales Staf Sales Staf Management Staf Sales Sales Eleven states reported the number of new businesses that started in the the first week of April. Please make a bar graph from the data below. 1 2 3 4 5 6 7 8 9 10 11 State Massachussets Kansas Alaska California Hawaii New Mexico Louisiana New York Florida Michigan South Carolina Frequency 15 21 15 33 14 21 22 24 22 21 14 Anova: Single Factor SUMMARY Groups Count Column 1 7 Column 2 7 Column 3 7 Column 4 7 Column 5 7 ANOVA Source of Variation SS Between G 550684.7 Within Gro 1198347 Total 1749032 Sum 5423 6695 6450 6404 4336 df Average 774.7143 956.4286 921.4286 914.8571 619.4286 Variance 51311.57 22777.95 66282.29 15729.14 43623.62 MS F P-value F crit 4 137671.2 3.446526 0.019696 2.689628 30 39944.91 34 Below are annual salaries (in $1000s) for Financial Analysts What is the Mean Mode Median Variance Standard deviation 75 58 101 56 111 111 93 110 68 109 68 88 86 71 98 57 57 72 69 72 82 60 71 78 68 67 61 107 72 96 60 95 89 71 108 112 90 101 89 75 91 70 108 70 73 99 56 95 61 104 84 89 73 54 95 84 58 84 66 102 108 112 60 107 89 65 78 55 85 62 110 100 69 87 58 65 72 90 55 105 110 88 108 104 89 110 56 79 110 91 89 65 95 97 55 101 111 96 52 86 101 103 82 94 The data below represents house sales in San Diego for the first week of October. Please make a histogram with intervals/ranges/bins of 10000. Like this ... 104000 - 150000, 150001 - 160000, 160001 - 170000, 170001 - 180000, 180001 - 190000, 190001 - 200000, 200001 - 2100 Is this data NORMALLY distributed? 198154 173964 143465 183293 179583 146157 175346 172354 146128 167528 149156 178704 180001 200871 143356 175960 161869 147781 185740 185707 157277 159981 200452 181536 140990 204578 205315 174466 155889 143006 192286 164157 177985 186426 191996 160543 172263 189402 144554 181593 190599 183457 174136 185349 195544 190423 173301 197582 146371 143382 159015 , 190001 - 200000, 200001 - 210000. Below is a list of produce sales (in $1000s) by country. Please make a pivot table EXACTLY like the graphic on the right. Order ID Product Category Amount Date Country 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 Carrots Broccoli Banana Banana Beans Orange Broccoli Banana Apple Apple Banana Broccoli Carrots Broccoli Apple Banana Banana Banana Broccoli Apple Orange Banana Banana Banana Beans Carrots Mango Beans Beans Apple Mango Apple Apple Broccoli Apple Apple Apple Carrots Banana Banana Carrots Broccoli Vegetables Vegetables Fruit Fruit Vegetables Fruit Vegetables Fruit Fruit Fruit Fruit Vegetables Vegetables Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Fruit Vegetables Vegetables Fruit Vegetables Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Vegetables Fruit Fruit Vegetables Vegetables $4,270 $8,239 $617 $8,384 $2,626 $3,610 $9,062 $6,906 $2,417 $7,431 $8,250 $7,012 $1,903 $2,824 $6,946 $2,320 $2,116 $1,135 $3,595 $1,161 $2,256 $1,004 $3,642 $4,582 $3,559 $5,154 $7,388 $7,163 $5,101 $7,602 $1,641 $8,892 $2,060 $1,557 $6,509 $5,718 $7,655 $9,116 $2,795 $5,084 $8,941 $5,341 1/6/2012 1/7/2012 1/8/2012 1/10/2012 1/10/2012 1/11/2012 1/11/2012 1/16/2012 1/16/2012 1/16/2012 1/16/2012 1/18/2012 1/20/2012 1/22/2012 1/24/2012 1/27/2012 1/28/2012 1/30/2012 1/30/2012 2/2/2012 2/4/2012 2/11/2012 2/14/2012 2/17/2012 2/17/2012 2/17/2012 2/18/2012 2/18/2012 2/20/2012 2/21/2012 2/22/2012 2/23/2012 2/29/2012 2/29/2012 3/1/2012 3/4/2012 3/5/2012 3/5/2012 3/15/2012 3/15/2012 3/15/2012 3/16/2012 United States United Kingdom United States Canada Germany United States Australia New Zealand France Canada Germany United States Germany Canada France United Kingdom United States United Kingdom United Kingdom United States France New Zealand Canada United States United Kingdom Australia France United States Germany France United States Australia France Germany France Australia United States United Kingdom United States United States United Kingdom France 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 Banana Banana Beans Apple Orange Orange Banana Carrots Banana Mango Apple Apple Carrots Banana Carrots Broccoli Banana Orange Apple Broccoli Banana Apple Banana Banana Banana Carrots Banana Mango Mango Banana Orange Banana Apple Banana Orange Banana Apple Carrots Banana Banana Carrots Banana Banana Broccoli Beans Carrots Apple Mango Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Vegetables Vegetables Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Fruit Fruit Fruit Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Vegetables Fruit Fruit Vegetables Vegetables Vegetables Fruit Fruit $135 $9,400 $6,045 $5,820 $8,887 $6,982 $4,029 $3,665 $4,781 $3,663 $6,331 $4,364 $607 $1,054 $7,659 $277 $235 $1,113 $1,128 $9,231 $4,387 $2,763 $7,898 $2,427 $8,663 $2,789 $4,054 $2,262 $5,600 $5,787 $6,295 $474 $4,325 $592 $4,330 $9,405 $7,671 $5,791 $6,007 $5,030 $6,763 $4,248 $9,543 $2,054 $7,094 $6,087 $4,264 $9,333 3/19/2012 3/19/2012 3/21/2012 3/22/2012 3/23/2012 3/24/2012 3/26/2012 3/26/2012 3/29/2012 3/30/2012 4/1/2012 4/1/2012 4/3/2012 4/6/2012 4/6/2012 4/12/2012 4/17/2012 4/18/2012 4/21/2012 4/22/2012 4/23/2012 4/25/2012 4/27/2012 4/30/2012 5/1/2012 5/1/2012 5/2/2012 5/2/2012 5/2/2012 5/3/2012 5/3/2012 5/5/2012 5/5/2012 5/6/2012 5/8/2012 5/8/2012 5/8/2012 5/8/2012 5/12/2012 5/14/2012 5/14/2012 5/15/2012 5/16/2012 5/16/2012 5/16/2012 5/18/2012 5/19/2012 5/20/2012 Canada Australia Germany New Zealand Germany United States Australia Germany France Australia France Canada United Kingdom New Zealand United States Germany United States Australia United States Canada United States Canada United Kingdom France New Zealand Germany United States United States United Kingdom United States Canada Germany France United States United States United Kingdom France United Kingdom Canada Germany United Kingdom Australia France United Kingdom Germany United States Australia United States 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 Mango Broccoli Banana Banana Beans Orange Orange Orange Broccoli Banana Apple Mango Apple Carrots Mango Broccoli Banana Apple Apple Broccoli Banana Broccoli Broccoli Banana Banana Orange Mango Banana Banana Orange Broccoli Orange Orange Orange Apple Broccoli Orange Banana Broccoli Carrots Apple Banana Banana Beans Banana Broccoli Orange Broccoli Fruit Vegetables Fruit Fruit Vegetables Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Vegetables Fruit Fruit Fruit Vegetables Fruit Vegetables Vegetables Fruit Fruit Fruit Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Vegetables Vegetables Fruit Fruit Fruit Vegetables Fruit Vegetables Fruit Vegetables $8,775 $2,011 $5,632 $4,904 $1,002 $8,141 $3,644 $1,380 $8,354 $5,182 $2,193 $3,647 $4,104 $7,457 $3,767 $4,685 $3,917 $521 $5,605 $9,630 $6,941 $7,231 $8,891 $107 $4,243 $4,514 $5,480 $5,002 $8,530 $4,819 $6,343 $2,318 $220 $6,341 $330 $3,027 $850 $8,986 $3,800 $5,751 $1,704 $7,966 $852 $8,416 $7,144 $7,854 $859 $8,049 5/22/2012 5/23/2012 5/25/2012 5/25/2012 5/25/2012 5/26/2012 5/26/2012 5/26/2012 5/26/2012 5/27/2012 5/27/2012 5/28/2012 5/28/2012 5/28/2012 5/29/2012 5/30/2012 6/4/2012 6/4/2012 6/10/2012 6/11/2012 6/20/2012 6/20/2012 6/23/2012 6/25/2012 6/26/2012 6/27/2012 7/2/2012 7/2/2012 7/5/2012 7/7/2012 7/11/2012 7/13/2012 7/20/2012 7/20/2012 7/20/2012 7/20/2012 7/22/2012 7/23/2012 7/25/2012 7/28/2012 7/29/2012 7/30/2012 7/31/2012 7/31/2012 8/1/2012 8/1/2012 8/3/2012 8/12/2012 Germany United Kingdom United States New Zealand Australia United Kingdom Canada Australia Germany United States France United States United States United States Canada Germany United States Canada France Germany Canada United Kingdom Australia France United States United States United States France Canada New Zealand United Kingdom United Kingdom United Kingdom New Zealand Germany United Kingdom New Zealand United Kingdom United States United Kingdom United Kingdom Australia United States Australia France United States United States United States 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 Banana Carrots Apple Apple Broccoli Apple Carrots Apple Beans Banana Banana Banana Banana Banana Banana Broccoli Broccoli Apple Banana Banana Orange Broccoli Banana Mango Broccoli Carrots Orange Banana Carrots Banana Carrots Banana Carrots Apple Apple Banana Banana Banana Banana Beans Orange Banana Carrots Apple Apple Banana Carrots Broccoli Fruit Vegetables Fruit Fruit Vegetables Fruit Vegetables Fruit Vegetables Fruit Fruit Fruit Fruit Fruit Fruit Vegetables Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Vegetables Vegetables Fruit Fruit Vegetables Fruit Vegetables Fruit Vegetables Fruit Fruit Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Vegetables Fruit Fruit Fruit Vegetables Vegetables $2,836 $1,743 $3,844 $7,490 $4,483 $7,333 $7,654 $3,944 $5,761 $6,864 $4,016 $1,841 $424 $8,765 $5,583 $4,390 $352 $8,489 $7,090 $7,880 $3,861 $7,927 $6,162 $5,523 $5,936 $7,251 $6,187 $3,210 $682 $793 $5,346 $7,103 $4,603 $8,160 $7,171 $3,552 $7,273 $2,402 $1,197 $5,015 $5,818 $4,399 $3,011 $4,715 $5,321 $8,894 $4,846 $284 8/13/2012 8/19/2012 8/23/2012 8/24/2012 8/25/2012 8/27/2012 8/28/2012 8/29/2012 8/29/2012 9/1/2012 9/1/2012 9/2/2012 9/5/2012 9/7/2012 9/8/2012 9/9/2012 9/9/2012 9/11/2012 9/11/2012 9/15/2012 9/18/2012 9/19/2012 9/20/2012 9/25/2012 9/25/2012 9/26/2012 9/27/2012 9/29/2012 9/29/2012 10/3/2012 10/4/2012 10/7/2012 10/10/2012 10/16/2012 10/23/2012 10/23/2012 10/25/2012 10/26/2012 10/26/2012 10/26/2012 11/2/2012 11/3/2012 11/3/2012 11/9/2012 11/12/2012 11/15/2012 11/25/2012 11/25/2012 Germany United States France France Germany Canada United States United Kingdom Germany New Zealand Germany United States Australia United Kingdom United States New Zealand Canada United States France United States United States Germany United States Australia United Kingdom Germany Australia Germany Germany Australia Germany New Zealand United States France United Kingdom New Zealand Australia Germany Australia Australia United States United Kingdom United States United Kingdom France United States United Kingdom Germany 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 Orange Orange Banana Apple Banana Carrots Carrots Apple Beans Banana Banana Banana Banana Banana Apple Banana Beans Orange Apple Apple Apple Carrots Apple Beans Orange Carrots Carrots Fruit Fruit Fruit Fruit Fruit Vegetables Vegetables Fruit Vegetables Fruit Fruit Fruit Fruit Fruit Fruit Fruit Vegetables Fruit Fruit Fruit Fruit Vegetables Fruit Vegetables Fruit Vegetables Vegetables $8,283 $9,990 $9,014 $1,942 $7,223 $4,673 $9,104 $6,078 $3,278 $136 $8,377 $2,382 $8,702 $5,021 $1,760 $4,766 $1,541 $2,782 $2,455 $4,512 $8,752 $9,127 $1,777 $680 $958 $2,613 $339 11/26/2012 United Kingdom 11/28/2012 Canada 11/28/2012 Australia 11/29/2012 France 11/30/2012 United States 12/2/2012 United States 12/4/2012 France 12/5/2012 United States 12/6/2012 Germany 12/12/2012 Canada 12/12/2012 Australia 12/12/2012 United States 12/15/2012 Germany 12/16/2012 United States 12/16/2012 Australia 12/18/2012 Germany 12/19/2012 United Kingdom 12/20/2012 United Kingdom 12/20/2012 Canada 12/22/2012 New Zealand 12/22/2012 Germany 12/25/2012 United States 12/28/2012 France 12/28/2012 France 12/29/2012 United States 12/29/2012 Australia 12/30/2012 Australia This is a graphic