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Business Statistics
fixed acidity volatile acidity citric acid residual sugar chlorides 7.4 0.7 0 1.9 0.076 7.8 0.88 0 2.6 0.098 7.8 0.76 0.04 2.3 0.092 11.2 0.28 0.56 1.9 0.075 7.4 0.7 0 1.9 0.076 7.4 0.66 0 1.8 0.075 7.9 0.6 0.06 1.6 0.069 7.3 0.65 0 1.2 0.065 7.8 0.58 0.02 2 0.073 7.5 0.5 0.36 6.1 0.071 6.7 0.58 0.08 1.8 0.097 7.5 0.5 0.36 6.1 0.071 5.6 0.615 0 1.6 0.089 7.8 0.61 0.29 1.6 0.114 8.9 0.62 0.18 3.8 0.176 8.9 0.62 0.19 3.9 0.17 8.5 0.28 0.56 1.8 0.092 8.1 0.56 0.28 1.7 0.368 7.4 0.59 0.08 4.4 0.086 7.9 0.32 0.51 1.8 0.341 8.9 0.22 0.48 1.8 0.077 7.6 0.39 0.31 2.3 0.082 7.9 0.43 0.21 1.6 0.106 8.5 0.49 0.11 2.3 0.084 6.9 0.4 0.14 2.4 0.085 6.3 0.39 0.16 1.4 0.08
- For the data on 26 red wines given above, conduct the following analysis:
- Provide five-number summary i.e. the minimum, 1st quartile, median, 3rd quartile and maximum value for fixed acidity. Arrange them in increasing order on a straight line, draw a box plot and interpret what it means.
- Calculate the correlation coefficient between fixed acidity and volatile acidity and between residual sugar and chlorides. Comment on the strength and direction of association for the two variable pairs.
iii. What can be stated about the cause-effect relationship between fixed acidity and volatile acidity, based on the correlation coefficient score?
- For the data in the table below:
- What do high kurtosis and skewness figures denote?
- Free Sulphur dioxide and total Sulphur dioxide have mean, median and modes that differ substantially from each other. What can you infer from this?
iii. By looking at the descriptive stats of the variables, identify two that may be closest to being normally distributed. Why?
Desc Stats fixed acidity volatile acidity citric acid residual sugar chlorides free sulfur dioxide total sulfur dioxide density pH sulphates alcohol Mean 6.85 0.28 0.33 6.39 0.05 35.31 138.36 0.99 3.19 0.49 10.51 Med 6.80 0.26 0.32 5.20 0.04 34.00 134.00 0.99 3.18 0.47 10.40 Mod 6.80 0.28 0.30 1.20 0.04 29.00 111.00 0.99 3.14 0.50 9.40 SD 0.84 0.10 0.12 5.07 0.02 17.01 42.50 0.00 0.15 0.11 1.23 Kurt 2.17 5.09 6.17 3.47 37.56 11.47 0.57 9.79 0.53 1.59 -0.70 Skew 0.65 1.58 1.28 1.08 5.02 1.41 0.39 0.98 0.46 0.98 0.49 Range 10.40 1.02 1.66 65.20 0.34 287.00 431.00 0.05 1.10 0.86 6.20
- Lok Sabha in India is to discuss a key constitutional amendment, and there will be four rounds of voting. In each round of voting, assume that the ruling party has a 60% chance of winning, i.e. getting the resolution passed by majority vote. Further assuming that the voting rounds are independent of each other, what is the probability that:
- The ruling party will win 0 rounds, 1 round, 2 rounds, 3 rounds or all 4 rounds of voting?
b.The ruling party will win at least 1 round?
Financial Accounting and Analysis
- Wildcat Ltd, a manufacturing company sold a machinery for Rs 8 lacs at the year end. The company had purchased the machinery four years back for Rs 15 lacs and had depreciated the same using written down value method of depreciation @ 20%.
As an accounts executive of Wildcat Ltd, calculate the WDV of the asset for the four years, accumulated depreciation for four years and profit/loss on sale, if any
- 2. Shil Wants to record the financial transactions of his newly started business. Discuss what accounting steps/stages he need to adhere so that the transactions can be duly recorded and processed in order to prepare the financial statements.
3 a.
Following information is available in respect of a company named, as Beta Ltd
Particulars
Amount
Profit before taxes
Rs 50 lakhs
Dividend declared per share
Rs2
Price of the share prevalent on stock exchange
Rs 200
Applicable tax rate
35%
Share capital of company 5 lakh shares of Rs 10 each
Calculate-
Earnings per share
