1. value: 10.00 points A sample of the funds deposited in First Federal Savings Bank's MCA (miniature checking account) revealed the following amounts. $124 39 186 116 145 $14 52 107 152 187 $150 103 142 206 165 $289 58 185 117 147 $52 136 75 52 158 $156 249 202 299 146 $203 110 119 58 185 $82 298 219 153 186 $27 251 156 219 149 $248 157 78 148 140 Using the preceding raw data and a statistical package (such as MINITAB): (a) Determine the mean, median, and standard deviation. (Round your answers to 2 decimal places.) Mean Median Standard deviation (b) Determine the first and third quartiles. (Round your answers to 2 decimal places.) First quartile Third quartile (c) Are there any outliers? Do the amounts follow a symmetric distribution or are they skewed? There are outliers. The distribution is . (d) Organize the distribution of ages into a frequency distribution. lower upper 0 < < < < < < Frequency 50 Cumulative Frequency 2. value: 10.00 points Listed below are the 44 U.S. presidents and their age as they began their terms in office. Using the preceding raw data and a statistical package (such as MINITAB): Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Name Washington J. Adams Jefferson Madison Monroe J. Q. Adams Jackson Van Buren W. H. Harrison Tyler Polk Taylor Fillmore Pierce Buchanan Lincoln A. Johnson Grant Hayes Garfield Arthur Cleveland Age 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 Number 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 Name B. Harrison Cleveland McKinley T. Roosevelt Taft Wilson Harding Coolidge Hoover F. D. Roosevelt Truman Eisenhower Kennedy L. B. Johnson Nixon Ford Carter Reagan G.H.W. Bush Clinton G. W. Bush Obama Age 55 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 54 47 Click here for the Excel Data File (a) Determine the mean, median, and standard deviation. (Round your answers to 2 decimal places.) Mean Median Standard deviation (b) Determine the first and third quartiles. (Round your answers to 2 decimal places.) First quartile Third quartile (c) Are there any outliers? Do the amounts follow a symmetric distribution or are they skewed? There are outliers. The distribution is . (d) Organize the distribution of funds into a frequency distribution 40 Age up to up to up to up to up to up to Total _Q 3. Frequency 45 value: 10.00 points Listed below is the per capita income for the 50 states and the District of Columbia. State Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware DC Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Amount $30,894 38,138 31,936 28,473 39,626 39,491 50,762 39,131 57,746 36,720 32,095 37,023 29,920 38,409 32,288 33,038 34,799 29,729 31,821 32,095 43,788 46,299 33,788 38,859 27,028 32,789 State Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming Amount $30,790 34,440 38,994 39,753 46,763 29,929 44,027 32,247 32,763 33,320 32,391 33,299 36,825 37,523 29,767 32,030 32,172 35,166 29,406 34,871 39,540 38,212 28,206 34,405 40,655 Use a statistical software package such as Excel or MINITAB to help answer the following questions. Determine the first and third quartiles. Click here for the Excel Data File (a) Determine the mean, median, and standard deviation. Mean Median Standard deviation (b) Determine the first and third quartiles. First quartile Third quartile (c) Are there any outliers? Do the amounts follow a symmetric distribution or are they skewed? There are outliers. The distribution is . (d) Organize the distribution of funds into a frequency distribution. $ 24,000 Amounts up to up to up to up to up to up to Total C 4. Frequency 30,000 value: 10.00 points A sample of 12 homes sold last week in St. Paul, Minnesota, revealed the following information. Home Size (thousands of square feet) 1.4 1.3 1.2 1.1 1.4 1.0 1.3 0.8 1.2 0.9 1.1 1.1 Selling Price ($ thousands) 100 110 105 120 80 105 110 85 105 75 70 95 Click here for the Excel Data File From the above table can we conclude that, as the size of the home (reported in thousands of square feet) increases, the selling price (reported in $ thousands) also increases? Yes No eBook Linkreferences _44537 5. value: 10.00 points Refer to the following diagram. (a) What is the graph called? Graph (b) What are the median, and first and third quartile values? Median First quartile Third quartile (c) Is the distribution positively skewed? (d) Estimate the values of outliers. Outliers and (e) Can you determine the number of observations in the study? check my workeBook Linkreferences Amount 124 39 186 116 145 14 52 107 152 187 150 103 142 206 165 289 58 185 117 147 52 136 75 52 158 156 249 202 299 146 203 110 119 58 185 82 298 219 153 186 27 251 156 219 149 248 157 78 148 140 Number Name 1 Washington 2 J. Adams 3 Jefferson 4 Madison 5 Monroe 6 J. Q. Adams 7 Jackson 8 Van Buren 9 W. H. Harrison 10 Tyler 11 Polk 12 Taylor 13 Fillmore 14 Pierce 15 Buchanan 16 Lincoln 17 A. Johnson 18 Grant 19 Hayes 20 Garfield 21 Arthur 22 Cleveland 23 B. Harrison 24 Cleveland 25 McKinley 26 T. Roosevelt 27 Taft 28 Wilson 29 Harding 30 Coolidge 31 Hoover 32 F. D. Roosevelt 33 Truman 34 Eisenhower 35 Kennedy 36 L. B. Johnson 37 Nixon 38 Ford 39 Carter 40 Reagan 41 G.H.W. Bush 42 Clinton 43 G. W. Bush 44 Obama Age 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 54 47 State Amount Alabama 30894 Alaska 38138 Arizona 31936 Arkansas 28473 California 39626 Colorado 39491 Connecticut 50762 Delaware 39131 DC 57746 Florida 36720 Georgia 32095 Hawaii 37023 Idaho 29920 Illinois 38409 Indiana 32288 Iowa 33038 Kansas 34799 Kentucky 29729 Louisiana 31821 Maine 32095 Maryland 43788 Massachusetts 6299 4 Michigan 33788 Minnesota 38859 Mississippi 27028 Missouri 32789 Montana 30790 Nebraska 34440 Nevada 38994 New Hampshire 39753 New Jersey 46763 New Mexico 29929 New York 44027 North Carolina32247 North Dakota 32763 Ohio 33320 Oklahoma 32391 Oregon 33299 Pennsylvania 36825 Rhode Island 37523 South Carolina 29767 South Dakota 32030 Tennessee 32172 Texas 35166 Utah 29406 Vermont 34871 Virginia 39540 Washington 38212 West Virginia 28206 Wisconsin 34405 Wyoming 40655 Size Selling Price 1.4 100 1.3 110 1.2 105 1.1 120 1.4 80 1 105 1.3 110 0.8 85 1.2 105 0.9 75 1.1 70 1.1 95