Bachelor Of Management Studies (BMS) SEM I ATKT Mar 2016 ATKT BUSINESS STATISTICS Question Paper - Mumbai University | munotes

Questions asked in this paper

• 1) Attempt all questions

1. Q2 All questions carry equal marks of 15 each
2. Q3 Attempt both the subparts of Question No.1
3. Q4 Figures to the right indicate full marks
4. Q5 Non Programmable calculators are allowed Fill in the blanks (any 8 out of 10) (8m)
   • i) A Statistical measure calculated for all objects in the population is called as il) When two or more characteristics are to be represented for the same set of objects, then diagram is used. (Simple Bar, Multiple Bar, Subdivided Bar) If the values of Median and Mode are 42 and.47 respectively, the value of Arithmetic Mean
   • iv) If the value of co-efficient of variation is more, the consistency of the data is
   • v) If the value of Pearson’s correlation co-efficient is 0.93, it can be concluded that there is (High Degree Positive.Correlation, Absence of Correlation, Perfect
   • vi) If the two regression co-efficients are positive, the value of correlation.co-efficient must be Vii) Least Square Method is used to compute trend. (Secular, Non Linear, Family Budget Method is used to calculate the Index Numbers (Wholesale Price, Cost of Living, Simple Average of Price Relatives)
   • ix) If A and B are any two events associated with an experiment, the probability of occurrence of Event A or B or both A and B is
5. Q10 In Decision Making problems there is only one . (Policy Maker, Policy, State of Nature)
6. Q1 B) State True or False (any 7 out of 10) (7m)
   • i) Statistical survey is a scientific process of collection and analysis of numerical data Classification of employees according to age and salary is three way classification Histogram is used to represent Median graphically
   • iv) Extreme variations of the data can be indicated by the method of mean deviation The more the clustered around a straight line on scatter diagram, the degrees of
   • vi) If the values of regression co-efficients are 0.7 each, then the value of correlation co-efficient Vil) Future Trend Values can be estimated with the help of Straight Line Trend Fishers Index Number uses all informations like prices p1, pO and quantities q1, q0
   • ix) Complimentary Events are Mutually Exclusive
7. Q10 Decision Tree calculations begins from right to left
8. Q2 A) Draw a Histogram and Frequency Curve on a graph paper. (8m)
9. Q2 B) If the average marks of students are 26.75, find the number of students belonging to
10. Q2 P) Find Q; and Q3 for the following distribution. (8m)
11. Q3 A) From the following regression equations 2x — y = 17 and 4x = 1, find mean values of x and y and correlation co-efficient. (8m)
12. Q3 B) The following are particulars of the distribution of weights of boys and girls in a class. Find standard deviation of combined group. (7m)
13. Q3 P) Calculate correlation co-efficient for the following data: (8m)
14. Q3 Q) For a bivariate distribution, Mean values of x and y are 25.3 and 152.4 respectively, standard deviation of x and y are 1.8 and 5.7 respectively, correlation co-efficient is 0.82. Find Regression equation of y on x and estimate y when x = 23.8 (7m)
15. Q4 A) Fit a Straight Line Trend by the method of Least Squares for the following time series and estimate the trend for the year 2007. (8m) No of Workers
16. Q4 B) Calculate Cost of Living Index Numbers by Family Budget Method. (7m)
17. Q4 P) Determine Seasonal Indices for the following. (7m) Year Exports (in thousands of Rupees
18. Q4 Q) Calculate Chain Base Index Numbers for the following. (8m)
19. Q5 A) For the following probability distribution, obtain E(X) and V(X). (8m)
20. Q5 B) A manager has to make a choice from 3 available courses of action A;, Az, and A3. There are two possible states of nature S; and S2 with probabilities of occurance as 0.7 and 0.3 respectively. For state S;, the pay offs for three actions are Rs. 25,000/-, Rs. 35,000/- and Rs 20,000/- respectively. While for state S2, the pay offs are Rs. 45,000/- Rs. 50,000/- and Rs 35,000/- respectively. Represent the problem with the help of a Decision Tree and suggest the most and corresponding expected value. (7m)
21. Q5 P) Write Short Notes on any three out of five. (15m)
22. Q1 Components of Decision Making
23. Q2 Components of Time Series
24. Q4 Relation between Correlation Co-efficient and Regression Co-efficients
25. Q5 Scatter Diagram

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