Statistics

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STAT-Assignment2.docx

Statistics

Question 1

Select the same social issue (homelessness)in two countries.

a) Collect 8 years of data on the issue from each of the two countries, where appropriate.

homelessness

USA

UK

2010

233534

1768

2011

231472

2181

2012

231398

2309

2013

195666

2414

2014

175399

2744

2015

173268

3569

2016

176357

4134

2017

192875

4751

b) Compute the following descriptive statistics for the data collected:

Column1

Column1

Mean

201246.125

2983.75

Standard Error

9483.799513

371.978386

Median

194270.5

2579

Mode

#N/A

#N/A

Standard Deviation

26824.23579

1052.113757

Sample Variance

719539625.6

1106943.357

Kurtosis

-2.120851185

-0.832156376

Skewness

0.329023081

0.723153076

Range

60266

2983

Minimum

173268

1768

Maximum

233534

4751

Sum

1609969

23870

Count

8

8

Descriptive Statistics

USA

(Variable X)

UK

(Variable Y)

i) Mean

201246.125

2983.75

ii) Standard Deviation

26824.23579

1052.113757

iii) Coefficient of Variation

0.133291

0.352615

iv) Covariance (between X and Y)

v) Coefficient of correlation (between X and Y)

c) Justify in which country the social issue is more serious, based on the data themselves and, where appropriate, the numerical descriptive statistics in b).

(2 marks)

Answer:

Country:____________________________________

Reason:_____________________________________

d) Justify whether the social issue, based on the data themselves and, where appropriate, the numerical descriptive statistics in b), is a common phenomenon (viz. correlated) between the two countries.

Justification:_________________________________

e) Imagine you are the prime minister of one of the two countries.

Justify or “lie” that the social issue had improved under your administration, with

i) An appropriate graphical method (e.g. bar chart; histogram; line chart) and its interpretations

ii) The data themselves and, where appropriate, the numerical descriptive statistics in b) and their interpretations.

Answer

i) Justify / “lie” with the graphical presentation of data:

___________________________________

ii) Justify / “lie” with the data themselves and, where appropriate, the numerical descriptive statistics in b). You might like to further support your answer with qualitative considerations like government policies implemented, changes in population and social demographics, and alike:

___________________________________

f) Select one of the two countries, and suggest a plausible factor that, in the Group’s opinion, has contributed most to the social issue.

Explain the causation between the social issue and the factor the Group has suggested.

Answer

i) Factor:

___________________________________

ii) Explanation of the causation:

___________________________________

g) Imagine you are the president of the HumanRightsCommission of United Nations.

You would like to test whether the claimby the President is supported by evidence.

Set up and to test the claim.

Note: µ is the unknown and hence assumed parameter mean for Variable X or Y.

Answer

i) (in the form of : µ = a numerical value which you need to justify from the data collected)

: µ = ?

President’s claim (he / she had done a good, average or bad job in mitigating the social issue):

_________________________________________

Justification of the numerical value of µ: ________

ii) (in the form of : µ ≠, > or < the numerical value in )

: µ =, ≠, > or <?

Justification of the choice of ≠, > or <:________

Question 2

What is the most important lesson you have learnt in presenting and interpreting statistical data from undertaking the assignment, especially e)? Please explain.

Answer

i) Lesson:

___________________________________________

ii) Explanation:

____________________________________________

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