Complete Finalterm MTH302- Business Mathematics & Statistics

FINALTERM  EXAMINATION

Spring 2009

MTH302- Business Mathematics & Statistics (Session - 2)

Time: 120 min

Marks: 80

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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

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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

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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.

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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

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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

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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)

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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

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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

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       ► 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 .

   

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uestion No: 45    ( Marks: 3 )

 Find the trends in the data below: 

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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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