Question: Description: This assessment task has four tasks. Trainers/assessors may vary the data for the task for different students. Tasks may be scheduled according to classroom
Description:
This assessment task has four tasks. Trainers/assessors may vary the data for the task for different students. Tasks may be scheduled according to classroom learning sessions and organised over a number of sessions to coincide with the relevant lessons and activities.
1.Complete the following tasks using the given data set.
Assets
$
Cash200 000
Accounts receivable400 000
Inventory1 200 000
Plant600 000
Total assets2 400 000
Liabilities
$
Accounts payable800 000
Long-term debt400 000
Capital1 200 000
2 400 000
Profit and loss
Sales1 600 000
Cost of goods sold1 000 000
Operating expenses200 000
Interest100 000
Taxes100 000
Net profit200 000
Find the following:
(a) Current ratio
(b) Quick asset ratios
(c) Inventory turnover
(d) Collection period
(e) Fixed asset turnover
(f) Times interest covered
(g) Net profit margin
(h) Return on total assets
(i) Return on capital.
2.The following data represents sales for 2005 to 2015:
Year Sales
200810 000
200911 000
201012 000
201112 500
201216 000
201318 000
201425 000
201540 000
201641 000
201743 000
201850 000
Based on the data,
(a) Plot the data on a graph.
(b) Draw the secular trend line of best fit using semi-average method.
(c) With the data from 2009 to 2018 predict sales for 2019 with least square method of forecasting
3.You are given the following data:
21121131210
11321411102
Required:
(a) Draw a histogram.
(b) Draw a frequency table.
(c) Draw a frequency polygon.
4. Calculate the correlation coefficient between advertising (x) and sales (y).
Year
2009
2010
2011
2012
2013
2014
$'000 Advertising
10
11
12
13
14
15
$'000 Sales
200
220
230
250
260
300
( b ) Describe the relationship between advertising and sales.
( c ) Find the equation of the regression line.
( d ) Plot the data for the annual sales versus advertising on a scattergram using the paper below. Start the x axis from 100 and the y axis from 8.
( e )Use the regression equation to draw the line of regression on your scatter diagram.
( f )If advertising is $16,000 in 2015 calculate the expected sales.
5. Why is accurate data so important for business survival? What are some of the graphical data techniques that are used to illustrate statistics results?
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