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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 82.2.10: Data of Median Income for Females $31 862 $40 550 $36.048 $30 752 $41817 $40,236 $47 476 $40 500 S60 | S35438 37.242 | S31,238-39.150 34,023 | S33.745 33,269 $32684 $31 844 $34,599 $48,748 $46.18S $36 931 $40,416 $29 545 $33.865 $31067 $33,424 $35,484 $41,021 $47.155$32,316 $42,113 S334 $41 412 $31330 $31 329 $33.184 $35,301 $32,843 $38,177 $40 969 $40,993 $29,68S $35,890 $34.381 332 $33,823 459 $32.462 $35.746 $31.274 $36.027 37089$22.117 2.2.6 Create a histogram and relative frequency histogram for the data in table #22.10. Describe the shape and any findings you can from the graph. 2.2.10 Create an ogive for the data in table #22.10. 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 the value of the house and the annual rental income. in (Capital and rental, 2013). Create a scatter plot and state if there is a relationship between Table #2.3.7: Data of House Value versus Rental Value Rental Value Rental Value Rental Value Rental 4576 750007280 67500 6864 95000 7904 94000 $73690000 6240 85000 7072 81000 665677000 121000 12064 1150007904 110000 7072 104000 7904 135000 8320 130000 9776 126000 6240 125000 7904 145000 8320 140000 9568 140000 9152 135000 748S 165000 13312 165000 8528 155000 7488 148000 8320 178000 11856 174000 10400 170000 9568 170000 12685 200000 12272 200000 10608 194000 1 1232 190000 8320 214000 8528 208000 10400 200000 10400 200000 8320 240000 10192 240000 12064 24000 11648 225000 12480

289000 11648 270000 12896 262000 10192 244500 11232 325000 12480 310000 12480 303000 12272 300000 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 wasnt 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 (BI assets of,2013). Create a time-series plot and interpret any findings. Table 112.3.1 1: Data of Date versus RBA Assets Assets in billions of AUD ate 96 107 Mar-2006 Jun-2006 Sep-2006 Dec-2006 Mar-2007 un-2007 Sep-2007 Dec-2007 Mar-2008 un-2008 Sep-2008 Dec-2008 Mar-2009 un-2009 Sep-2009 ec-2009 116.2 123 134 123 93 93 105 101.5 158 118 ar-2010 Jun-2010 Sep-2010 Dec-2010 Mar-2011 un-2011 ep-2011 ec-2011 Mar-2012 un-2012 74 75 75 90.1 83.9 95 Sep-2012 Dec-2012

Mar-2013 90 5 3.12 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 LengthRiver Length Clarence 209Clutha 322 48Taieri 288 Waiau 169 138 Kakanui 64 Rangitat Shag Waipara 121 97 161 Pareora 20 56 64 209 Waimakariri 145 Waitaki 90 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, 30for 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 Pian written. Does this employee need a pian? 3.2.2 The lengths in klometers) 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 83.2.9: Lengths of Rivers (km) Flowing to Pacific Ocean River Length River Length (km) 209Clutha Taieri 322 288 Clarence Conway Waiau Hurunu Waipara Ashley Waimakariri Selwyn 48 169Shag2 64 138 Kakanuo0 209 64 56 121 64 Waitaki 97 Waihao 161 Pareora 95 Rangitat 145 Ophi80 Rakaia 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 #32.13. Table #32.13: Fixed Costs for Print-O-Matic Printing Company Bank charges Cleaning Computer expensive Lease payments Postage Uniforms Monthly charges Monthly cost ($) 482 2208 2471 2656 2117 2600 a.) Find the mean and median. b.) Find the range. c.) Find the variance and standard deviation.

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Answer #1

question 2.2.2

class interval Frequency(fi) relative frequence=fi/total cumulative frequency
22117-27577 1 0.019231 1
27577-33037 14 0.269231 15
33037-38497 21 0.403846 36
38497-43957 11 0.211538 47
43957-49417 4 0.076923 51
49417-54877 0 0 51
54877-60337 1 0.019231 52
total 52 1
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