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Fall 2012


                Master of Business Administration- MBA Semester 1

                    MB0040 – Statistics for Management - 4 Credits

                                   (Book ID: B1623)

                            Assignment Set - 1 (60 Marks)

Note: Each question carries 10 Marks. Answer all the questions.

   1. Mention the characteristics of Statistics. Explain any two applications of
      Statistics.
   2. Distinguish between primary and secondary data. What are the methods of
      collecting primary data?
   3. Find Karl Pearson’s correlation coefficient between the sales and expenses from
      the data given below:
       Sales         50    50     55      60     65      65     65      60     60       50
    (Rs. Lakhs)
     Expenses        11    13     14      16     16      15     15      14     13       13
    (Rs. Lakhs)


   4. The incidence of occupational disease in an industry is such that the workers
      have a 20% chance of suffering from it. What is the probability that out of six
      workers 4 or more will contract the disease?
   5. Use chi-square test to test if the two attributes (Performance and Training) in the
      following table are independent. Test at 5% level of significance.
                                                      Training
        Performance         Intensive          Good          Average            Total
       Above Average           100              150             40              290
          Average              100              100            100              300
            Poor                50               80            150              280
            Total              250              330            290              870
Fall 2012


6. Construct index numbers of price for the following data by applying:
   i)     Laspeyre’s method
   ii)    Paasche’s method
   iii)   Fisher’s Ideal Index number
                                    Base year                    Current year
            Commodity          Price       Quantity          Price        Quantity
               A                 2            8                4              6
               B                 5            10               6              5
               C                 4            14               5             10
               D                 2            19               2             13
Fall 2012


                  Master of Business Administration- MBA Semester 1

                    MB0040 – Statistics for Management - 4 Credits

                                         (Book ID: B1623)

                                 Assignment Set - 2 (60 Marks)

Note: Each question carries 10 Marks. Answer all the questions.

   1. Distinguish between Classification and Tabulation of data. What are the types of
      Classification of data?
   2. Calculate mean and median for the following data
        Marks       0-20         20-40    40-60   60-80     80-100   100-120   120-140
        No of         4           26       22      10            9     6         3
      Students


   3. Calculate the regression equations of X on Y and Y on X from the following data:
            X                1               2              3           4            5
            Y                2               5              3           8            7

   4. What is sampling? Briefly explain the various methods of sampling.

   5. A company appoints four salesmen, A, B, C and D, and observes their sales in
      three seasons- summer, winter and monsoon. The figures ( in lakhs) are given in
      the following table:
         Season                                      Salesman
                             A               B              C           D         Total
        Summer             36               36              21         35         128
         Winter            28               29              31         32         120
        Monsoon            26               28              29         29         112
          Total            90               93              81         96         360
Carry out an analysis of variance at 5% level of significance.
Fall 2012


6. The mean wage is Rs. 75 per day, SD wage is Rs 5 per day for a group of 1000
   workers and the same is Rs 60 and Rs 4.5 for the other group of 1500 workers.
   Find mean and standard deviation for the entire group.

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Mb0040 fall drive assignment-2012

  • 1. Fall 2012 Master of Business Administration- MBA Semester 1 MB0040 – Statistics for Management - 4 Credits (Book ID: B1623) Assignment Set - 1 (60 Marks) Note: Each question carries 10 Marks. Answer all the questions. 1. Mention the characteristics of Statistics. Explain any two applications of Statistics. 2. Distinguish between primary and secondary data. What are the methods of collecting primary data? 3. Find Karl Pearson’s correlation coefficient between the sales and expenses from the data given below: Sales 50 50 55 60 65 65 65 60 60 50 (Rs. Lakhs) Expenses 11 13 14 16 16 15 15 14 13 13 (Rs. Lakhs) 4. The incidence of occupational disease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will contract the disease? 5. Use chi-square test to test if the two attributes (Performance and Training) in the following table are independent. Test at 5% level of significance. Training Performance Intensive Good Average Total Above Average 100 150 40 290 Average 100 100 100 300 Poor 50 80 150 280 Total 250 330 290 870
  • 2. Fall 2012 6. Construct index numbers of price for the following data by applying: i) Laspeyre’s method ii) Paasche’s method iii) Fisher’s Ideal Index number Base year Current year Commodity Price Quantity Price Quantity A 2 8 4 6 B 5 10 6 5 C 4 14 5 10 D 2 19 2 13
  • 3. Fall 2012 Master of Business Administration- MBA Semester 1 MB0040 – Statistics for Management - 4 Credits (Book ID: B1623) Assignment Set - 2 (60 Marks) Note: Each question carries 10 Marks. Answer all the questions. 1. Distinguish between Classification and Tabulation of data. What are the types of Classification of data? 2. Calculate mean and median for the following data Marks 0-20 20-40 40-60 60-80 80-100 100-120 120-140 No of 4 26 22 10 9 6 3 Students 3. Calculate the regression equations of X on Y and Y on X from the following data: X 1 2 3 4 5 Y 2 5 3 8 7 4. What is sampling? Briefly explain the various methods of sampling. 5. A company appoints four salesmen, A, B, C and D, and observes their sales in three seasons- summer, winter and monsoon. The figures ( in lakhs) are given in the following table: Season Salesman A B C D Total Summer 36 36 21 35 128 Winter 28 29 31 32 120 Monsoon 26 28 29 29 112 Total 90 93 81 96 360 Carry out an analysis of variance at 5% level of significance.
  • 4. Fall 2012 6. The mean wage is Rs. 75 per day, SD wage is Rs 5 per day for a group of 1000 workers and the same is Rs 60 and Rs 4.5 for the other group of 1500 workers. Find mean and standard deviation for the entire group.