Download OU B.Com 2018 June 2nd Year 2nd Semester 3546 Business Statistics II Question Paper

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Code No. 3546/CBCS

FACULTY OF COMMERCE

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B.Com. (CBCS) (IV – Semester) Examination, May/June, 2018

(Common Paper for General/ Computers and Computer Applications/Advertising/Foreign Trade and Tax Procedures Courses)

BUSINESS STATISTICS - I

Paper Code — BC –406

Time: 3 Hours Max. Marks: 80

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Note: Answer any FIVE of the following questions.

PART – A (5X4=20 Marks)

Answer any five questions not exceeding 20 lines each.

1. If y=0.6, sx=1.5 and sy =2, Find the bxy and byx.
2. Importance of Index Numbers.

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3. From the following data calculate a price index based on price Relatives Method using Arithmetic Mean.

   Commodity	A	B	C	D	E	F
   Price 2015	45	60	20	50	85	120
   Price 2016	55	70	30	75	90	130

4. What are the uses of Time Series.
5. Explain (i) Mutually Exclusive Events and (ii) Not-Mutually Exclusive Events.
6. When two dice are thrown, find the probability that the sum of the numbers is either 10 or 11.
7. If 6 coins are tossed at a time, what is the probability of obtaining 4 or more Heads.

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8. Properties of Normal Distribution.

PART - B (5X12=60 Marks)

Answer all the questions in not exceeding 4 pages each.

1. a) What is Regression and what are the differences between correlation and Regression.

   OR

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   b) Given: Sx= 56, Sy=40, Sx² =524, Sy² =256, Sxy=364, N =8

   (i) Find the two Regression equations and

2. a) The following are the indices (2007 Base)

   Year	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017
   Index	137	136	149	156	137

   OR

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   b) From the following data calculate price Index Number (i) Laspeyre’s Method and (ii) Marshal Edgeworth Method.

   Commodity	Price(Rs.) Base Year	Quantity Base Year	Price(Rs.) Current Year	Quantity Current Year
   P	6	30	10	40
   Q	2	200	4	300
   R	4	40	6	50
   S	10	2	12	3
   T	3	100	5	200

3. a) Find the 4 yearly moving averages for the following data:

   Year	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017
   Production in Tonnes	150	170	180	200	210	220	230	240	230	220

   OR

   b) Production figure of a sugar factory are given below:

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   Year	2001	2002	2003	2004	2005	2006	2007
   Production in ‘000	80	90	92	83	94	99	92

   For the above data fit a straight line trend by the method of least squares and tabulate the trend values.

   (i) Calculate the trend values for all the years.

4. a) Five coins are tossed 3,200 times, find the frequencies of the distribution of heads and tails; and tabulate the results and also calculate Mean and standard Deviation of fitted distribution.

   OR

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   b) A study of past participants indicates that the mean length of time spent on the programme is 500 hours; and that, this normal distribution random variable has a standard deviation of 100 hours. What is the probability a participant selected at random will required to complete the programme in following cases

   (i) ‘More’ than 500 hrs

   (ii) Between 500 and 650 hours

   (iii) Between 550 and 650 hours.

   (iv) Less than 580 hours.

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   (v) Between 420 and 570 hours.

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