STAT 200 Week 2 Homework Problems 2.2.2 The median incomes of females in each state of the United States, including the District of Columbia and Puerto Rico, are given in table #2.2.10 ("Median income of," 2013). Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes. Table #2.2.10: Data of Median Income for Females $31,862 $60,332 $33,269 $29,548 $42,113 $41,412 $40,993 $40,550 $33,823 $32,684 $33,865 $33,459 $31,330 $29,688 $36,048 $35,438 $31,844 $31,067 $32,462 $31,329 $35,890 $30,752 $37,242 $34,599 $33,424 $35,746 $33,184 $34,381 $41,817 $31,238 $48,748 $35,484 $31,274 $35,301 $40,236 $39,150 $46,185 $41,021 $36,027 $32,843 $47,476 $34,023 $36,931 $47,155 $37,089 $38,177 $40,500 $33,745 $40,416 $32,316 $22,117 $40,969 2.2.6 Create a histogram and relative frequency histogram for the data in table #2.2.10. Describe the shape and any findings you can from the graph. 2.2.10 Create an ogive for the data in table #2.2.10. Describe any findings you can from the graph. 2.3.4 Table #2.3.7 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Create a scatter plot and state if there is a relationship between the value of the house and the annual rental income. Table #2.3.7: Data of House Value versus Rental Value 81000 95000 121000 135000 145000 165000 178000 200000 214000 240000 Rental 6656 7904 12064 8320 8320 13312 11856 12272 8528 10192 Value 77000 94000 115000 130000 140000 165000 174000 200000 208000 240000 Rental 4576 8736 7904 9776 9568 8528 10400 10608 10400 12064 Value 75000 90000 110000 126000 140000 155000 170000 194000 200000 240000 Rental 7280 6240 7072 6240 9152 7488 9568 11232 10400 11648 Value 67500 85000 104000 125000 135000 148000 170000 190000 200000 225000 Rental 6864 7072 7904 7904 7488 8320 12688 8320 8320 12480 289000 325000 11648 12480 270000 310000 12896 12480 262000 303000 10192 12272 244500 300000 11232 12480 2.3.8 The economic crisis of 2008 affected many countries, though some more than others. Some people in Australia have claimed that Australia wasn’t hurt that badly from the crisis. The bank assets (in billions of Australia dollars (AUD)) of the Reserve Bank of Australia (RBA) for the time period of March 2007 through March 2013 are contained in table #2.3.11 ("B1 assets of," 2013). Create a time-series plot and interpret any findings. Table #2.3.11: Data of Date versus RBA Assets Date Mar-2006 Jun-2006 Sep-2006 Dec-2006 Mar-2007 Jun-2007 Sep-2007 Dec-2007 Mar-2008 Jun-2008 Sep-2008 Dec-2008 Mar-2009 Jun-2009 Sep-2009 Dec-2009 Mar-2010 Jun-2010 Sep-2010 Dec-2010 Mar-2011 Jun-2011 Sep-2011 Dec-2011 Mar-2012 Jun-2012 Assets in billions of AUD 96.9 107.4 107.2 116.2 123.7 134.0 123.0 93.2 93.7 105.6 101.5 158.8 118.7 111.9 87.0 86.1 83.4 85.7 74.8 76.0 75.7 75.9 75.2 87.9 91.0 90.1 Sep-2012 Dec-2012 Mar-2013 83.9 95.8 90.5 3.1.2 The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.1.8 (Lee, 1994). Find the mean, median, and mode. Table #3.1.8: Lengths of Rivers (km) Flowing to Pacific Ocean River Clarence Conway Waiau Hurunui Waipara Ashley Waimakariri Selwyn Rakaia Ashburton Length River (km) 209 Clutha 48 Taieri 169 Shag 138 Kakanui 64 Rangitata 97 Ophi 161 Pareora 95 Waihao 145 Waitaki 90 Length (km) 322 288 72 64 121 80 56 64 209 3.1.8 State which type of measurement scale each represents, and then which center measures can be use for the variable? a.) You collect data on the height of plants using a new fertilizer. b.) You collect data on the cars that people drive in Campbelltown, Australia. c.) You collect data on the temperature at different locations in Antarctica. d.) You collect data on the first, second, and third winner in a beer competition. 3.1.12 An employee at Coconino Community College (CCC) is evaluated based on goal setting and accomplishments toward goals, job effectiveness, competencies, CCC core values. Suppose for a specific employee, goal 1 has a weight of 20%, goal 2 has a weight of 20%, goal 3 has a weight of 10%, job effectiveness has a weight of 25%, competency 1 has a goal of 4%, competency 2 has a goal has a weight of 3%, competency 3 has a weight of 3%, competency 4 has a weight of 5%, and core values has a weight of 10%. Suppose the employee has scores of 2.0 for goal 1, 2.0 for goal 2, 4.0 for goal 3, 3.0 for job effectiveness, 2.0 for competency 1, 3.0 for competency 2, 2.0 for competency 3, 3.0 for competency 4, and 4.0 for core values. Find the weighted average score for this employee. If an employee that has a score less than 2.5, they must have a Performance Enhancement Plan written. Does this employee need a plan? 3.2.2 The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.2.9 (Lee, 1994). Table #3.2.9: Lengths of Rivers (km) Flowing to Pacific Ocean River Length River Length (km) (km) Clarence 209 Clutha 322 Conway 48 Taieri 288 Waiau 169 Shag 72 Hurunui 138 Kakanui 64 Waipara 64 Waitaki 209 Ashley 97 Waihao 64 Waimakariri 161 Pareora 56 Selwyn 95 Rangitata 121 Rakaia 145 Ophi 80 Ashburton 90 a.) Find the mean and median. b.) Find the range. c.) Find the variance and standard deviation. 3.2.6 Print-O-Matic printing company spends specific amounts on fixed costs every month. The costs of those fixed costs are in table #3.2.13. Table #3.2.13: Fixed Costs for Print-O-Matic Printing Company Monthly charges Monthly cost ($) Bank charges 482 Cleaning 2208 Computer expensive 2471 Lease payments 2656 Postage 2117 Uniforms 2600 a.) Find the mean and median. b.) Find the range. c.) Find the variance and standard deviation. STAT 200 Week 2 Homework Problems 2.2.2 The median incomes of females in each state of the United States, including the District of Columbia and Puerto Rico, are given in table #2.2.10 ("Median income of," 2013). Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes. Table #2.2.10: Data of Median Income for Females $31,862 $60,332 $33,269 $29,548 $42,113 $41,412 $40,993 $40,550 $33,823 $32,684 $33,865 $33,459 $31,330 $29,688 $36,048 $35,438 $31,844 $31,067 $32,462 $31,329 $35,890 $30,752 $37,242 $34,599 $33,424 $35,746 $33,184 $34,381 $41,817 $31,238 $48,748 $35,484 $31,274 $35,301 $40,236 $39,150 $46,185 $41,021 $36,027 $32,843 $47,476 $34,023 $36,931 $47,155 $37,089 $38,177 $40,500 $33,745 $40,416 $32,316 $22,117 $40,969 2.2.6 Create a histogram and relative frequency histogram for the data in table #2.2.10. Describe the shape and any findings you can from the graph. 2.2.10 Create an ogive for the data in table #2.2.10. Describe any findings you can from the graph. 2.3.4 Table #2.3.7 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Create a scatter plot and state if there is a relationship between the value of the house and the annual rental income. Table #2.3.7: Data of House Value versus Rental Value 81000 95000 121000 135000 145000 165000 178000 200000 214000 240000 Rental 6656 7904 12064 8320 8320 13312 11856 12272 8528 10192 Value 77000 94000 115000 130000 140000 165000 174000 200000 208000 240000 Rental 4576 8736 7904 9776 9568 8528 10400 10608 10400 12064 Value 75000 90000 110000 126000 140000 155000 170000 194000 200000 240000 Rental 7280 6240 7072 6240 9152 7488 9568 11232 10400 11648 Value 67500 85000 104000 125000 135000 148000 170000 190000 200000 225000 Rental 6864 7072 7904 7904 7488 8320 12688 8320 8320 12480 289000 325000 11648 12480 270000 310000 12896 12480 262000 303000 10192 12272 244500 300000 11232 12480 2.3.8 The economic crisis of 2008 affected many countries, though some more than others. Some people in Australia have claimed that Australia wasn’t hurt that badly from the crisis. The bank assets (in billions of Australia dollars (AUD)) of the Reserve Bank of Australia (RBA) for the time period of March 2007 through March 2013 are contained in table #2.3.11 ("B1 assets of," 2013). Create a time-series plot and interpret any findings. Table #2.3.11: Data of Date versus RBA Assets Date Mar-2006 Jun-2006 Sep-2006 Dec-2006 Mar-2007 Jun-2007 Sep-2007 Dec-2007 Mar-2008 Jun-2008 Sep-2008 Dec-2008 Mar-2009 Jun-2009 Sep-2009 Dec-2009 Mar-2010 Jun-2010 Sep-2010 Dec-2010 Mar-2011 Jun-2011 Sep-2011 Dec-2011 Mar-2012 Jun-2012 Assets in billions of AUD 96.9 107.4 107.2 116.2 123.7 134.0 123.0 93.2 93.7 105.6 101.5 158.8 118.7 111.9 87.0 86.1 83.4 85.7 74.8 76.0 75.7 75.9 75.2 87.9 91.0 90.1 Sep-2012 Dec-2012 Mar-2013 83.9 95.8 90.5 3.1.2 The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.1.8 (Lee, 1994). Find the mean, median, and mode. Table #3.1.8: Lengths of Rivers (km) Flowing to Pacific Ocean River Clarence Conway Waiau Hurunui Waipara Ashley Waimakariri Selwyn Rakaia Ashburton Length River (km) 209 Clutha 48 Taieri 169 Shag 138 Kakanui 64 Rangitata 97 Ophi 161 Pareora 95 Waihao 145 Waitaki 90 Length (km) 322 288 72 64 121 80 56 64 209 3.1.8 State which type of measurement scale each represents, and then which center measures can be use for the variable? a.) You collect data on the height of plants using a new fertilizer. b.) You collect data on the cars that people drive in Campbelltown, Australia. c.) You collect data on the temperature at different locations in Antarctica. d.) You collect data on the first, second, and third winner in a beer competition. 3.1.12 An employee at Coconino Community College (CCC) is evaluated based on goal setting and accomplishments toward goals, job effectiveness, competencies, CCC core values. Suppose for a specific employee, goal 1 has a weight of 20%, goal 2 has a weight of 20%, goal 3 has a weight of 10%, job effectiveness has a weight of 25%, competency 1 has a goal of 4%, competency 2 has a goal has a weight of 3%, competency 3 has a weight of 3%, competency 4 has a weight of 5%, and core values has a weight of 10%. Suppose the employee has scores of 2.0 for goal 1, 2.0 for goal 2, 4.0 for goal 3, 3.0 for job effectiveness, 2.0 for competency 1, 3.0 for competency 2, 2.0 for competency 3, 3.0 for competency 4, and 4.0 for core values. Find the weighted average score for this employee. If an employee that has a score less than 2.5, they must have a Performance Enhancement Plan written. Does this employee need a plan? 3.2.2 The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.2.9 (Lee, 1994). Table #3.2.9: Lengths of Rivers (km) Flowing to Pacific Ocean River Length River Length (km) (km) Clarence 209 Clutha 322 Conway 48 Taieri 288 Waiau 169 Shag 72 Hurunui 138 Kakanui 64 Waipara 64 Waitaki 209 Ashley 97 Waihao 64 Waimakariri 161 Pareora 56 Selwyn 95 Rangitata 121 Rakaia 145 Ophi 80 Ashburton 90 a.) Find the mean and median. b.) Find the range. c.) Find the variance and standard deviation. 3.2.6 Print-O-Matic printing company spends specific amounts on fixed costs every month. The costs of those fixed costs are in table #3.2.13. Table #3.2.13: Fixed Costs for Print-O-Matic Printing Company Monthly charges Monthly cost ($) Bank charges 482 Cleaning 2208 Computer expensive 2471 Lease payments 2656 Postage 2117 Uniforms 2600 a.) Find the mean and median. b.) Find the range. c.) Find the variance and standard deviation. STAT 200 Week 2 Homework Problems 2.2.2 The median incomes of females in each state of the United States, including the District of Columbia and Puerto Rico, are given in table #2.2.10 ("Median income of," 2013). Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes. Table #2.2.10: Data of Median Income for Females $31,862 $60,332 $33,269 $29,548 $42,113 $41,412 $40,993 $40,550 $33,823 $32,684 $33,865 $33,459 $31,330 $29,688 $36,048 $35,438 $31,844 $31,067 $32,462 $31,329 $35,890 $30,752 $37,242 $34,599 $33,424 $35,746 $33,184 $34,381 $41,817 $31,238 $48,748 $35,484 $31,274 $35,301 $40,236 $39,150 $46,185 $41,021 $36,027 $32,843 $47,476 $34,023 $36,931 $47,155 $37,089 $38,177 $40,500 $33,745 $40,416 $32,316 $22,117 $40,969 2.2.6 Create a histogram and relative frequency histogram for the data in table #2.2.10. Describe the shape and any findings you can from the graph. 2.2.10 Create an ogive for the data in table #2.2.10. Describe any findings you can from the graph. 2.3.4 Table #2.3.7 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Create a scatter plot and state if there is a relationship between the value of the house and the annual rental income. Table #2.3.7: Data of House Value versus Rental Value 81000 95000 121000 135000 145000 165000 178000 200000 214000 240000 Rental 6656 7904 12064 8320 8320 13312 11856 12272 8528 10192 Value 77000 94000 115000 130000 140000 165000 174000 200000 208000 240000 Rental 4576 8736 7904 9776 9568 8528 10400 10608 10400 12064 Value 75000 90000 110000 126000 140000 155000 170000 194000 200000 240000 Rental 7280 6240 7072 6240 9152 7488 9568 11232 10400 11648 Value 67500 85000 104000 125000 135000 148000 170000 190000 200000 225000 Rental 6864 7072 7904 7904 7488 8320 12688 8320 8320 12480 289000 325000 11648 12480 270000 310000 12896 12480 262000 303000 10192 12272 244500 300000 11232 12480 2.3.8 The economic crisis of 2008 affected many countries, though some more than others. Some people in Australia have claimed that Australia wasn’t hurt that badly from the crisis. The bank assets (in billions of Australia dollars (AUD)) of the Reserve Bank of Australia (RBA) for the time period of March 2007 through March 2013 are contained in table #2.3.11 ("B1 assets of," 2013). Create a time-series plot and interpret any findings. Table #2.3.11: Data of Date versus RBA Assets Date Mar-2006 Jun-2006 Sep-2006 Dec-2006 Mar-2007 Jun-2007 Sep-2007 Dec-2007 Mar-2008 Jun-2008 Sep-2008 Dec-2008 Mar-2009 Jun-2009 Sep-2009 Dec-2009 Mar-2010 Jun-2010 Sep-2010 Dec-2010 Mar-2011 Jun-2011 Sep-2011 Dec-2011 Mar-2012 Jun-2012 Assets in billions of AUD 96.9 107.4 107.2 116.2 123.7 134.0 123.0 93.2 93.7 105.6 101.5 158.8 118.7 111.9 87.0 86.1 83.4 85.7 74.8 76.0 75.7 75.9 75.2 87.9 91.0 90.1 Sep-2012 Dec-2012 Mar-2013 83.9 95.8 90.5 3.1.2 The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.1.8 (Lee, 1994). Find the mean, median, and mode. Table #3.1.8: Lengths of Rivers (km) Flowing to Pacific Ocean River Clarence Conway Waiau Hurunui Waipara Ashley Waimakariri Selwyn Rakaia Ashburton Length River (km) 209 Clutha 48 Taieri 169 Shag 138 Kakanui 64 Rangitata 97 Ophi 161 Pareora 95 Waihao 145 Waitaki 90 Length (km) 322 288 72 64 121 80 56 64 209 3.1.8 State which type of measurement scale each represents, and then which center measures can be use for the variable? a.) You collect data on the height of plants using a new fertilizer. b.) You collect data on the cars that people drive in Campbelltown, Australia. c.) You collect data on the temperature at different locations in Antarctica. d.) You collect data on the first, second, and third winner in a beer competition. 3.1.12 An employee at Coconino Community College (CCC) is evaluated based on goal setting and accomplishments toward goals, job effectiveness, competencies, CCC core values. Suppose for a specific employee, goal 1 has a weight of 20%, goal 2 has a weight of 20%, goal 3 has a weight of 10%, job effectiveness has a weight of 25%, competency 1 has a goal of 4%, competency 2 has a goal has a weight of 3%, competency 3 has a weight of 3%, competency 4 has a weight of 5%, and core values has a weight of 10%. Suppose the employee has scores of 2.0 for goal 1, 2.0 for goal 2, 4.0 for goal 3, 3.0 for job effectiveness, 2.0 for competency 1, 3.0 for competency 2, 2.0 for competency 3, 3.0 for competency 4, and 4.0 for core values. Find the weighted average score for this employee. If an employee that has a score less than 2.5, they must have a Performance Enhancement Plan written. Does this employee need a plan? 3.2.2 The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.2.9 (Lee, 1994). Table #3.2.9: Lengths of Rivers (km) Flowing to Pacific Ocean River Length River Length (km) (km) Clarence 209 Clutha 322 Conway 48 Taieri 288 Waiau 169 Shag 72 Hurunui 138 Kakanui 64 Waipara 64 Waitaki 209 Ashley 97 Waihao 64 Waimakariri 161 Pareora 56 Selwyn 95 Rangitata 121 Rakaia 145 Ophi 80 Ashburton 90 a.) Find the mean and median. b.) Find the range. c.) Find the variance and standard deviation. 3.2.6 Print-O-Matic printing company spends specific amounts on fixed costs every month. The costs of those fixed costs are in table #3.2.13. Table #3.2.13: Fixed Costs for Print-O-Matic Printing Company Monthly charges Monthly cost ($) Bank charges 482 Cleaning 2208 Computer expensive 2471 Lease payments 2656 Postage 2117 Uniforms 2600 a.) Find the mean and median. b.) Find the range. c.) Find the variance and standard deviation.
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