Bachelor Of Management Studies (BMS) SEM I 2017 18 March 2017-18 ATKT BUS.STATISTICS Question Paper - Mumbai University | munotes

Questions asked in this paper

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1. Q1 Fillin the blanks with the correct alternative (Attempt any Eight) 8 marks
   • i) construction of cumulative frequency table is useful in determining the li) is used to present data involving one variable
   • iii) Mode is the
   • iv) The limits for correlation coefficient are
   • v) the index number is calculated for more than one commodity it is called
   • vi) The optimistic decision maker will use the principle of
   • vii) With respect to time series, variations occurs due to weather or customs
   • viii) When the regression equation of weight on height is used, weight is the __ variable 1x) measures give actual extent of scatter of the data
   • x) For any probability mass function, sum of all the probabilities is equal to
2. Q1 B) State whether the following statements are True or False. (Attempt any seven) 7 marks
3. Q1 Variance is always non-negative
   • ii) If two variables are independent then they are correlated There are always two lines of regression for a paired set of data
   • iv) The sum of the deviations of all observations from their arithmetic mean is always zero
   • v) In Index number, the year selected as a reference period for comparison is called current
   • vi) Irregular variations are unpredictable vil) A random variable which can take all possible values over an interval is called a discrete In decision theory probabilities are associated with states of nature
   • ix) Pie diagram is a two dimensional diagram
   • x) The class mark of a class interval is lower limit + upper limit
   • Q.P. Code :25285 Attempt either A or B
   • p) Draw a less than ogive for the following data Hence find i) Q: and Q3 ii) Number of workers having wages between 75 and 95 8
   • q) The following are the marks of three students in 4 subjects. The weights of the subjects are given. Decide which of the three students is the best 7
   • p) Ifthe mode for the following distribution is 130, find the missing frequency. 7
   • q) i) Calculate the median height for the following data 5
   • q) ii) The average marks of a group of 100 students in Statistics are 60 and for other group of 50 students , the average marks are 90. Find the average marks of the combined group of 150 3
4. Q3 Attempt either A or B
   • p) quartile deviation and its coefficient for the following data. 7
   • q) Calculate coefficient of correlation between price and demand from the following data and hence comment on the result, 8
   • Q.P. Code :25285
   • p) Given below are the mileage per litre of petrol for two brands of car in trial tests carried out. Use coefficient of variation to determine which brand is more consistent? Why? 8
   • q) The following data represents the sales and the advertisement expenditure of a firm. If the coefficient of correlation is 0.9, what should be the advertisement expenditure (y) if the 7
5. Q4 Attempt either (A) or (B)
   • p) The following data give the number of T.V. Tubes produced by a certain manufacturer. Fit a straight line trend and hence estimate the production for the year 1995 7
   • q) Calculate Fishers’ and Dorbish Bowley’s Index number for the following data. 8
   • p) Calculate three yearly moving averages for the following data. Calculate cost of living index number. for the following data. (4) 7
   • Q.P. Code :25285
   • q) ii) Calculate for the following data the types of index number as mentioned below 4
   • a) Simple average of price relatives Method b) Simple Aggregative Method
6. Q5 Attempt either (A) or (B)
   • p) ACompany has to choose one of the four types of Biscuits - Glucose, Multigrain, Coconut and = Cream. Sales expected during the next year are highly uncertain. Marketing department estimates the profits considering manufacturing cost, promotional efforts and distribution set.up etc as given in table below: Profits on estimated level of sales (in Rs. Lakhs) for Quantities Course of Action | S; S2 S3 What will be the company manager’s decision if following criterion is applied? 1) Maximin ii) 7
   • q)i) Mr. Kamath bought a T.V. from Kohinoor Electronics. Kohinoor Electronics offered an after sales contract for Rs. 1000 for next five years. Considering the experience of T.V. users, the following distribution of maintenance expenses five years is formed What is the expected value of the maintenance cost? Should Mr. Kamath go for the contract? 4
   • q) ii) The probability that A can hit a 1/3 and probability that B can hit a target is 1/4. A and B try to hit a target independently. Find the probability that -a) The target remains unhit 4
   • b) The target is hit Write short notes on: (Attempt any three) (15)
   • i). Uses of Index Number Limitations of statistics iil) Merits and Demerits of median
   • iv) Absolute and Relative Measures of Dispersion
   • v) Essentials of a good table

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