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Executive MBA Sample Papers for Quantitative Methods for First SemesterItsMyAcademy.com

Executive MBA Sample Papers for Quantitative Methods for First Semester

 

TERM END EXAMINATIONS EXECUTIVE MBA , SEMESTER/YEAR – I

QUANTITATIVE METHODS

Duration -3 Hours                                                                              Max Marks: 60

 

Note:  1. Attempt any FIVE questions.

           2. All questions carry equal marks.

 

 

Q1.      Calculate the correlation coefficient for the following:

 

X:        65        66        67        67        68        69        70        72

 

Y:        67        68        65        72        72        72        69        71

 

Q2.      Calculate (i) Quartile deviation and (ii) Mean Deviations from mean of the             following

data:

 

Marks              0-10     10-20   20-30  30-40  40-50  50-60     60-70

 

No of Students    6       5           8         15         7         6            3

 

Q3.      Calculate the mean and standard deviations for the following table giving the age             the age distributions of the 542 members

Age(in Years)  20-30   30-40   40-50  50-60  60-70  70-80     80-90

No of Members   3        61         132     153       140     51          2

Q4.      An Incomplete frequency distribution is given as follows:

 

Variable           Frequency                               Variable                         Frequency

 

10-20                           12                                50-60                                       ?

 

20-30                           30                                60-70                                       25

 

30-40                           ?                                  70-80                                       18

 

40-50                           65                                _______                      _________________

TOTAL                       _____229_________

 

Given that the median value is 46, determine the missing frequencies, using the median formula.

 

Q5.      Obtain the equations of the two lines of regression for the following data. Also obtain       the estimate of X for Y=70

 

X:        65        66        67        67        68        69        70        72

 

Y:        67        68        65        72        72        72        69        71

 

Q6.     The daily cost of production “C” for x units of a manufactured product is given by C(x)=Rs 5x+Rs12000.

(i)                 If each unit is sold for Rs10 determine the minimum number of units that should be produced and sold to ensure no loss.

(ii)               If the selling price is increased by half of a rupee per unit, what

would be the break-even point?

If 6000 units are sold daily, what price per unit should be charged to guarantee no             loss

 

Q7.      Find the domain and range of the following functions:

 

 

 

Q8.       Assume that 25% of fuses are defective, and the fuses in packages of six fuses are            independently selected.

  1.         i.      What is the probability that (exactly) two fuses in a package of six are defective?
  2.       ii.      What is the probability that fewer than two are defective?

Q9.      Define Sampling. Explain different types of Sampling Techniques with examples.

Q10.    A sample of 6 electric bulbs has the following data for mean life in (000hours),

25, 45, 32, 28, 39, 35

Can we claim the average life of electric bulb to be 40, at 5 % level of significance?

 

Notes:-

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