All directions are within the file i attached.

STAT 200 Week 2 Homework Problems

Please type your answers to these questions in this document using FULL SENTENCES including your reasoning where appropriate. Show your work when any calculations are needed. Save your work as a Word or .rtf file (NO “.pages”, please!) with file name “YourLastName_HW2”. Attach your file to the Assignment link and submit your work before 11:59 pm on Sunday of Week 2.

Tables can be created in Word or Excel, and graphs/charts may be created using the technology of your choice and inserted into this document. Please be sure to include appropriate labels on your graphs!

Question/PSP

Score

  1. The median incomes for 2013 of females who have a BA or above in each state of the United States, including the District of Columbia, are given in the table below (Status of Women in the States, 2020). Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes. Show your work!

Table 1. Median income of females who have a BA or above

$49,000

$48,000

$48,000

$48,500

$42,000

$48,000

$56,000

$52,000

$50,000

$53,000

$58,000

$60,000

$50,000

$50,000

$67,500

$52,000

$55,000

$60,000

$48,000

$45,000

$64,000

$67,000

$62,000

$46,000

$65,000

$59,000

$56,000

$51,000

$45,000

$52,000

$53,000

$49,300

$56,000

$65,000

$38,000

$52,000

$65,000

$50,000

$43,000

$50,000

$47,000

$58,000

$47,000

$49,000

$47,000

$52,000

$74,000

$50,000

$45,000

$53,000

$48,000



  1. Create a relative frequency histogram for the data above. Include axis labels and units. Describe the shape and any findings you can from the graph.




  1. Which type of measurement scale would be used for the variable in each study? Which measures of central tendency can be used for the variable? Explain.

  1. An appliance manufacturer conducts a survey to determine which color refrigerator customers prefer.

  2. A fast-food restaurant manager tracks how many small, medium and large soft drinks are sold.

  3. A researcher measures the daily temperature at several locations around the Great Lakes.

  4. A realtor compiles the selling prices of homes in your area.

  5. A retailer collects zip code information from its in-store customers.


  1. A student’s grade is determined by participation, four assignments, three quiz scores, and a final project. The weights of each of these components toward the overall course score are shown below:

Participation

13%

Assignment 1

8%

Assignment 2

8%

Assignment 3

8%

Assignment 4

8%

Quiz 1

10%

Quiz 2

10%

Quiz 3

10%

Final Project

25%

The student earns 96 participation points; 87 points on Assignment 1, 72 points on Assignment 2, 88 points on Assignment 3, 91 points on Assignment 4; 83 points on Quiz 1, 81 points on Quiz 2, and 89 points on Quiz 3; and 82 points on the Final Project. To meet certification requirements, the student’s weighted score must be at least 85 points.

  1. Find the weighted course score for this student.

  1. Will the student earn certification for the course? Explain.



  1. After recent stock market turmoil, Marc is considering his Facebook shares. Joan encourages him to look at how the share price has fluctuated over the past year, and this is the data that they find:

month

share price

March-19

$ 166.69

April-19

$ 193.40

May-19

$ 177.47

June-19

$ 193.00

July-19

$ 194.23

August-19

$ 185.67

September-19

$ 178.08

October-19

$ 191.65

November-19

$ 201.64

December-19

$ 205.25

January-20

$ 201.91

February-20

$ 192.47

March-20

$ 192.47

Create a time-series plot (showing each data point) with appropriate labels and scale, and interpret any findings.



  1. The table below contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013).


Table: House Value versus Yearly Rental Income (in US dollars)

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


Create a scatter plot with correctly labeled axes and appropriate scale; explain if there is a relationship between the value of the house and the annual rental income.