STAT 200 Week 2 Homework Solutions

STAT 200 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   

$40,550   

$36,048   

$30,752   

$41,817   

$40,236   

$47,476   

$40,500   

 

$60,332   

$33,823   

$35,438   

$37,242   

$31,238   

$39,150   

$34,023   

$33,745   

 

$33,269   

$32,684   

$31,844   

$34,599   

$48,748   

$46,185   

$36,931   

$40,416   

 

$29,548   

$33,865   

$31,067   

$33,424   

$35,484   

$41,021   

$47,155   

$32,316   

 

$42,113   

$33,459   

$32,462   

$35,746   

$31,274   

$36,027   

$37,089   

$22,117   

 

$41,412   

$31,330   

$31,329   

$33,184   

$35,301   

$32,843   

$38,177   

$40,969   

 

$40,993   

$29,688   

$35,890   

$34,381   

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

Rental

Value

Rental

Value

Rental

Value

Rental

 

81000

6656

77000

4576

75000

7280

67500

6864

 

95000

7904

94000

8736

90000

6240

85000

7072

 

121000

12064

115000

7904

110000

7072

104000

7904

 

135000

8320

130000

9776

126000

6240

125000

7904

 

145000

8320

140000

9568

140000

9152

135000

7488

 

165000

13312

165000

8528

155000

7488

148000

8320

 

178000

11856

174000

10400

170000

9568

170000

12688

 

200000

12272

200000

10608

194000

11232

190000

8320

 

214000

8528

208000

10400

200000

10400

200000

8320

 

240000

10192

240000

12064

240000

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 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

Assets in billions of AUD

 

Mar-2006

96.9

 

Jun-2006

107.4

 

Sep-2006

107.2

 

Dec-2006

116.2

 

Mar-2007

123.7

 

Jun-2007

134.0

 

Sep-2007

123.0

 

Dec-2007

93.2

 

Mar-2008

93.7

 

Jun-2008

105.6

 

Sep-2008

101.5

 

Dec-2008

158.8

 

Mar-2009

118.7

 

Jun-2009

111.9

 

Sep-2009

87.0

 

Dec-2009

86.1

 

Mar-2010

83.4

 

Jun-2010

85.7

 

Sep-2010

74.8

 

Dec-2010

76.0

 

Mar-2011

75.7

 

Jun-2011

75.9

 

Sep-2011

75.2

 

Dec-2011

87.9

 

Mar-2012

91.0

 

Jun-2012

90.1

 

Sep-2012

83.9

 

Dec-2012

95.8

 

Mar-2013

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

Length (km)

River

Length (km)

 

Clarence

209

Clutha

322

 

Conway

48

Taieri

288

 

Waiau

169

Shag

72

 

Hurunui

138

Kakanui

64

 

Waipara

64

Rangitata

121

 

Ashley

97

Ophi

80

 

Waimakariri

161

Pareora

56

 

Selwyn

95

Waihao

64

 

Rakaia

145

Waitaki

209

 

Ashburton

90

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 (km)

River

Length (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.