INSTRUCTIONS TO FOLLOW FOR THIS QUESTION 2

2 (a) Four set of data, for each you need to find the mean (you can use excel)

Formula (One Set formula will do)
Answer in two decimals
Answer in units.
Four set of data for each you need to find the first, second (median) and third quartiles.

2(b) Four set of data each you need to find the standard deviation.

Formula (One set formula will do)
Answer in two decimal
Answer in units.

RANGE:

Formula ( One set of formula will do)
Showing the respective value in the formula
Answers

Co-efficient of variation.

Apply the sample formula of COV
Answer should be in %
Answer in 2 decimal places

C & D part follow the question.

2 (b)

Question 3 4 Marks

The Table below is taken from the Australian Bureau of Statistics website. It provides data on energy use of households – almost all houses use mains electricity but some use additional energy sources such as gas and solar. (You can get the data from Table 1 from the URL: http://www.abs.gov.au/AUSSTATS/[email protected]/DetailsPage/4602.0.55.001Mar%202014?OpenDocument.) Missing cells indicate data not published, and totals may be higher since all possibilities may not be listed. The totals are not incorrect.).

Based on the information available in the table above –

What is the probability that an Australian household, randomly selected, uses solar as a source of energy? 1 mark
What is the probability that an Australian household, randomly selected, uses mains gas and is located in Victoria? 1 mark
Given that a household uses LPG/bottled gas, what is the probability that the household is located in South Australia? 1 mark
Is the percentage of Australian households using mains gas independent of the state? 1 mark

INSTRUCTIONS TO FOLLOW FOR THIS QUESTION 3:

3(a). Form the contingency table with columns and row values.

3 Steps.

Formula
Calculation
Answer (4 Decimals)

3(b) And, Or, Given that (Use appropriate Formula).

3 Steps:

Formula
Calculation
Answer (4 decimals)

3(c) Given that (Identify the proper Formula)

3 Steps.

Formula
Calculation
Answer (4 Decimals)

3(d) Rule of independent need to check.

Question 4 4 Marks

(a) The following data collected from the Australian Bureau of Meteorology Website (http://www.bom.gov.au/climate/data/?ref=ftr) gives the daily rainfall data for the year 2015 in Brisbane. The zero values indicate no rainfall and the left-most column gives the date. Assuming that the weekly rainfall event (number of days in a week with rainfall) follows a Poisson distribution (There are 52 weeks in a year and a week is assumed to start from Monday. The first week starts from 29 December 2014 – you are expected to visit the website and get the daily values which are not given in the table below. Make sure you put the correct station number. Ignore the last few days of 2015 if it exceeds 52 weeks.):

(i) What is the probability that on any given week in a year there would be no rainfall? 1 mark

(ii) What is the probability that there will be 2 or more days of rainfall in a week? 1 mark

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Posted on May 14, 2016Author TutorCategories Question, Questions