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Thursday, January 13, 2011

Complete Finalterm MTH302- Business Mathematics & Statistics

FINALTERM  EXAMINATION
Spring 2009
MTH302- Business Mathematics & Statistics (Session - 2)

Time: 120 min
Marks: 80
  
Question No: 1    ( Marks: 1 )    - Please choose one
 The Basic salary of an employee is Rs 7,000.    What is the contribution of the company on account of gratuity to the Gratuity Trust Fund?

       Rs 636.36
       Rs 6363.6
       Rs 63.636
       Rs 6363
   
Question No: 2    ( Marks: 1 )    - Please choose one
 An arrangement of data by successive time periods is called a

Exponential Smoothing

Time Series
Combination

Permutation

   
Question No: 3    ( Marks: 1 )    - Please choose one
 The graph of time series is called

Straight line

Smooth Curve

Parabola

Histogram
   
Question No: 4    ( Marks: 1 )    - Please choose one
 When a straight is fitted to time series data, it is called

Linear equation

Linear regression

Linear trend
Non-Linear equation

   
Question No: 5    ( Marks: 1 )    - Please choose one
 What variation does moving average method eliminate?
Seasonal
Cyclical
Irregular
Secular trend
   
Question No: 6    ( Marks: 1 )    - Please choose one
 The temperature was 30°C in the afternoon and the temperature dropped to 26°C in the evening. Find the percentage change in the temperature.           
►13.33%

►15%

►14.26%

►12%

   
Question No: 7    ( Marks: 1 )    - Please choose one
 Observed errors, which represent information from the data which is not explained by the model, are called?

Marginal values
Residuals
Mean square errors
Standard errors
   
Question No: 8    ( Marks: 1 )    - Please choose one
 An insurance company wants to predict sales from the amount of money they spend on advertising. Which would be the independent variable?

(i)  sales
(ii)  advertising
(iii) insufficient information to decide

(iv)  Both (i) and (ii) are correct.
   
Question No: 9    ( Marks: 1 )    - Please choose one
 Frequency of occurrence is used in finding the
weighted mean
median
mode
variance
   
Question No: 10    ( Marks: 1 )    - Please choose one
 If the equation of regression line is y = 5, then what result will you take out from it?
►The line passes through origin.
►The line passes through (5, 0)
►The line is parallel to y-axis.
►The line is parallel to x-axis
   
Question No: 11    ( Marks: 1 )    - Please choose one
 Which of the following graphs is a visual presentation using horizontal or vertical bars to make comparisons or to show relationships on items of similar makeup?

       bar graph
       pie graph
       pictograph
       line graph
   
Question No: 12    ( Marks: 1 )    - Please choose one
 In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?
       10! - 2!
       9! - 2!
       10! - 9!
       None of these
   
Question No: 13    ( Marks: 1 )    - Please choose one
 Which of the following describe the middle part of a group of numbers?
       Measures of central tendency
       measures of variability
       measures of shape
       measures of association
    
Question No: 14    ( Marks: 1 )    - Please choose one
 In the United States, 43% of people wear a seat belt while driving. If two people are chosen at random, what is the probability that both of them wear a seat belt?
       18%
        20%
       25%
       None of these
   
Question No: 15    ( Marks: 1 )    - Please choose one
 The midrange is not greatly affected by outliers
       False
       True
   
Question No: 16    ( Marks: 1 )    - Please choose one

In which of the following form, can the probability be written? 
       fraction
       decimal
       percentage
       All of these.
 
Question No: 17    ( Marks: 1 )    - Please choose one
 The moving averages of the Prices   90,70,30,110   are
       63.33, 70
       73.33,80
       45.45, 68
       65.50, 75
   
Question No: 18    ( Marks: 1 )    - Please choose one
 Sum of annuity is always

       Present value

       Future value

       Net present value

       Current value

   
Question No: 19    ( Marks: 1 )    - Please choose one
 Write a formula to find the simple interest (I) if $5000 is invested at 4% for 2 years.
       I=PRT
       I=P+R+T
       I=PT
       I=P(R+T)
   
Question No: 20    ( Marks: 1 )    - Please choose one
 Solve 3x = 27 for x
       0.9
       6
       18
       9
   
Question No: 21    ( Marks: 1 )    - Please choose one
 If the value of r is zero then the graph of the data points shows

       evenly skewness
       positively scattered
       no associations
       negative associations

Question No: 22    ( Marks: 1 )    - Please choose one
 The minimum number of points required to calculate the intercept of a straight line is/are
       one
       two
       three
       one or theree
   
Question No: 23    ( Marks: 1 )    - Please choose one
 What will be the rate of 20 as a base and percentage is 25?

       120%


       125%

         130%

            None of these

   
Question No: 24    ( Marks: 1 )    - Please choose one
 The value of x after solving the following linear equation is
                                              -2x + 6 = 4x - 2

       0
       3
       1/2
       4/3
   
Question No: 25    ( Marks: 1 )    - Please choose one
 Order of a Matrix =
       Number of Columns xNumber of Rows

       Number of Rows / Number of Columns

       Number of Rows x Number of Columns

       None of these


Question No: 26    ( Marks: 1 )    - Please choose one
 Markdown means a reduction from the
       Original cost price

       Original sale price

       Original Net price

       None of these

   
Question No: 27    ( Marks: 1 )    - Please choose one
 If an asset is purchased at Rs 3000 on the date 6/29/2008 and the first depreication period ends on 11/29/2008, where salvage value is 300 and period is taken as 1 on  20% interest rate where basis =1, then which of the following function Returns the depreciation for given accounting period

       =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12, 20%, 1)
       =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20% / 12 , 1)
       =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20%, 1)
       =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12 , 20%/12, 1)
       None of these
   
Question No: 28    ( Marks: 1 )    - Please choose one

Which of the following is the system of linear equations?
       4 x + 6 y = 9
       3 x2 + 5 y2 = 7 , x + y = 8
       5 x + 7 y = 12,  2 x + 8 y = 10
       2 x 2 – 5 x + 7 = 0
   
Question No: 29    ( Marks: 1 )    - Please choose one
   To find average of numbers  given in figure  ,one can apply the excel formula
        =AVERAGE(E12:E13)

       =AVERAGE(E5:E12)       
       =SUMIF(E5:E12)

       =DSUM(E5:E12)


Question No: 30    ( Marks: 1 )    - Please choose one
 An arrangement of all or some of a set of objects in a ….. order is called permutation.
       Definite

       Indefinite

       Same

       Different

   
Question No: 31    ( Marks: 1 )    - Please choose one
 6!.......
       720
       620
       420
       520
   
Question No: 32    ( Marks: 1 )    - Please choose one
 Expected = …….

       Trend - Seasonal
       Trend + Seasonal
       Trend * Seasonal
       Trend / Seasonal
   
Question No: 33    ( Marks: 1 )    - Please choose one
 Random = …….

       Actual / expected
       Actual +expected

       Actual * expected
       Actual - expected

Question No: 34    ( Marks: 1 )    - Please choose one
 The standard deviation is
       a measure of variability.
       the square root of the variance.
       twice the standard error.

       half the range.
   
Question No: 35    ( Marks: 1 )    - Please choose one
 Coefficient of variation shows dispersion of the
       standard deviation about mean.
       standard deviation about mode.
       variance about mean.
       variance about mode.
   
Question No: 36    ( Marks: 1 )    - Please choose one
 If a hypothesis specifies the population distribution is called
       composite hypothesis  
       test statistic 
       alternative hypothesis 
       simple hypothesis
   
Question No: 37    ( Marks: 1 )    - Please choose one

Which distribution is most commonly used to model the number of random occurrences of some phenomenon in a specified unit of space or time?
       Normal Distribution
       Binomial Distribution
       Poisson Distribution
       Negative Binomial Distribution
   
Question No: 38    ( Marks: 1 )    - Please choose one
 A regression equation was computed to be Y = 35 + 6X,the value of 35 indicates that
       An increase in one unit of X will result in an decrease of 35 in Y
       The coefficient of correlation is 35
       The coefficient of determination is 35
       The regression line crosses the Y-axis at 35
   
Question No: 39    ( Marks: 1 )    - Please choose one
 Chi-distribution is used to decide whether or not certain variables are





       Dependent
       Independent 
       Discrete
       Continuous
   
Question No: 40    ( Marks: 1 )    - Please choose one

Time series data is analyzed by the moving average.

       True
       False
   
Question No: 41    ( Marks: 2 )
 A student is chosen at random from a class of 16 girls
and 14 boys. What is the probability that the student
chosen is not a girl?

   
Question No: 42    ( Marks: 2 )
 For the marks obtained by 9 students ,given  Q1 = 56 marks ,Q2= 65 marks , Q3= 74 marks .Find  Q.D .

   
Question No: 43    ( Marks: 2 )

Describe the difference between Poisson distribution and Cumulative Poisson Distribution.
   
Question No: 44    ( Marks: 3 )
 Eleven subjects carried out the same task using a pocket calculator. The times (in seconds) taken were:       69, 75, 83, 58, 95, 72, 86, 88, 77, 79, 90. Find the range &  median .
   
uestion No: 45    ( Marks: 3 )
 Find the trends in the data below: 

   
Question No: 46    ( Marks: 3 )
 A random sample of size n is drawn from normal population with mean 6 and S.D 
       1.2; if  z = 4,  8 what is n?
   
Question No: 47    ( Marks: 5 )
 Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
x      y
1    143
3    116
5    100
7     98
9     90
   
Question No: 48    ( Marks: 5 )

Find the probability that a man flipping a coin gets the sixth head on the tenth flip. 
   
Question No: 49    ( Marks: 5 )
 Calculate the mean, median and mode for the following set of data 1,2,8,5,4,9,3,4,5,8,6,2,4,5,8,8000.
   
Question No: 50    ( Marks: 10 )
 A family has 3 boys and 2 girls.
a) Find the number of ways they can sit in a row
b) How many ways are there if the boys and girls are each to sit together?


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