Stat Assignment 2
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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 #2.2.10: Data of Median Income for Females
|
$31,862 |
$40,550 |
$36,0 48 |
$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 |
$35,8 90 |
$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 | |||||||||||
|
81000 |
66 56 |
77000 |
4576 |
75000 |
72 80 |
67500 |
68 64 |
|||||
|
95 000 |
7904 |
94000 |
8736 |
90000 |
6240 |
85000 |
7072 |
|||||
|
121 000 |
12064 |
115000 |
110000 |
10400 0 |
||||||||
|
135000 |
8320 |
130000 |
97 76 |
126000 |
125000 |
|||||||
|
145 000 |
140000 |
9568 |
9152 |
7488 |
||||||||
|
165000 |
13312 |
8528 |
155000 |
148000 |
||||||||
|
178000 |
11856 |
174000 |
10400 |
170000 |
12688 |
|||||||
|
200000 |
12272 |
10608 |
194000 |
11232 |
190000 |
|||||||
|
214000 |
208000 |
|||||||||||
|
240000 |
10192 |
11648 |
225000 |
12480 |
||||||||
|
289000 |
270000 |
12896 |
262000 |
244500 |
||||||||
|
325000 |
310000 |
303000 |
300000 |
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
River
s (km) Flowing to Pacific Ocean
| River |
Length (km) |
||||||||||
|
Clarence |
209 |
Clutha |
322 |
||||||||
|
Conway |
48 |
Taieri |
288 |
||||||||
|
Waiau |
169 |
Shag |
72 | ||||||||
|
Hurunui |
138 |
Kakanui |
64 | ||||||||
|
Waipara |
Rangitata |
121 | |||||||||
|
Ashley |
97 |
Ophi |
80 | ||||||||
|
Waimakariri |
161 |
Pareora |
56 | ||||||||
|
Selwyn |
95 |
Waihao |
|||||||||
|
Rakaia |
145 |
Waitaki |
|||||||||
|
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
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.