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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$36,048$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

ValueRentalValueRentalValueRentalValueRental
810006656770004576750007280675006864
950007904940008736900006240850007072
12100012064115000790411000070721040007904
1350008320130000977612600062401250007904
1450008320140000956814000091521350007488
16500013312165000852815500074881480008320
1780001185617400010400170000956817000012688
2000001227220000010608194000112321900008320
214000852820800010400200000104002000008320
24000010192240000120642400001164822500012480
28900011648270000128962620001019224450011232
32500012480310000124803030001227230000012480

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

DateAssets in billions of AUD
Mar-200696.9
Jun-2006107.4
Sep-2006107.2
Dec-2006116.2
Mar-2007123.7
Jun-2007134.0
Sep-2007123.0
Dec-200793.2
Mar-200893.7
Jun-2008105.6
Sep-2008101.5
Dec-2008158.8
Mar-2009118.7
Jun-2009111.9
Sep-200987.0
Dec-200986.1
Mar-201083.4
Jun-201085.7
Sep-201074.8
Dec-201076.0
Mar-201175.7
Jun-201175.9
Sep-201175.2
Dec-201187.9
Mar-201291.0
Jun-201290.1
Sep-201283.9
Dec-201295.8
Mar-201390.5

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

RiverLength (km)RiverLength (km)
Clarence209Clutha322
Conway48Taieri288
Waiau169Shag72
Hurunui138Kakanui64
Waipara64Rangitata121
Ashley97Ophi80
Waimakariri161Pareora56
Selwyn95Waihao64
Rakaia145Waitaki209
Ashburton90

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

RiverLength (km)RiverLength (km)
Clarence209Clutha322
Conway48Taieri288
Waiau169Shag72
Hurunui138Kakanui64
Waipara64Waitaki209
Ashley97Waihao64
Waimakariri161Pareora56
Selwyn95Rangitata121
Rakaia145Ophi80
Ashburton90

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 chargesMonthly cost ($)
Bank charges482
Cleaning2208
Computer expensive2471
Lease payments2656
Postage2117
Uniforms2600

a.) Find the mean and median.

b.) Find the range.

c.) Find the variance and standard deviation.