MTH302- Business Mathematics & Statistics Spring 2009 Final Term

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FINALTERM EXAMINATION
Spring 2009
MTH302- Business Mathematics & Statistics

Question No: 1 ( Marks: 1 ) - Please choose one
The c2 distribution is ---------------

► Positively skewed
► Negatively skewed
► Symmetrical
► None of these

Question No: 2 ( Marks: 1 ) - Please choose one
In the regression line Y = a + bX., a represents
►Intercept of the line
►Slope of the line
►Slope of the curve
►None of the above

Question No: 3 ( Marks: 1 ) - Please choose one
In the formula, , e is a constant whose value is ……………

► 2.71828
► 3.14157
► 22 / 7
► 9.325

Question No: 4 ( Marks: 1 ) - Please choose one
Which distribution is most commonly used for the continuous data?
► Normal Distribution
► Binomial Distribution
► Poisson Distribution
► Negative Binomial Distribution

Question No: 5 ( Marks: 1 ) - Please choose one
For any event if the probability of success is x, then the probability of failure is

► also x
► 1 + x
► 1 – x
► x - 1

Question No: 6 ( Marks: 1 ) - Please choose one
The standard deviation of any sampling distribution is called
► sampling error
► type –I error
► standard error
► non sampling error

Question No: 7 ( Marks: 1 ) - Please choose one
For graphing univariate data we use

► Pie charts,Bar charts .
► Pareto diagrams.
► Side by side chart .
► Both (1) & (2)


Question No: 8 ( Marks: 1 ) - Please choose one
Interest paid (earned) on only the original principal borrowed (lent) is often referred to as
► simple interest
► present value
► future value
► compound interest

Question No: 9 ( Marks: 1 ) - Please choose one
The sales of a company increases from Rs.100,000 last month to Rs.120,000 this month. The percentage change in profit for the month?
► 20%
► 40%
► 10%
► 60%

Question No: 10 ( Marks: 1 ) - Please choose one
Amount of discount is obtained as
► Percentage of Discount x List Price
► Percentage of Discount / List Price
► Percentage of Discount - List Price
► None of these


Question No: 11 ( Marks: 1 ) - Please choose one
If a and b are any two integers such that a<b then a-b is
► positive
► negative
► canot be told
► zero

Question No: 12 ( Marks: 1 ) - Please choose one
If the salary of an employee is 10,000 and his allowances are 5,000 then what is the taxable income of the employee?

► 5,000
► 10,000
► Zero
► 15,000

Question No: 13 ( Marks: 1 ) - Please choose one
Compound interest is always:
► Higher than simple interest
► Smaller than simple interest

► Less than annuity

► Equals to simple interest

Question No: 14 ( Marks: 1 ) - Please choose one
The RSQ of any data is
► Square root of correlation coefficient.
► Square of correlation coefficient.
► Correlation coefficient.
► Slope of the data.

Question No: 15 ( Marks: 1 ) - Please choose one
12% of the electric bulbs manufactured by a company are defective. What is the probability that a bulb selected will not be defective?
► 90 %
► 88 %
► 80 %
► 85 %

Question No: 16 ( Marks: 1 ) - Please choose one
If there is a indirect relationship between rainfall & yield of crops then
► Yield is higher if rainfall is less
► Yield is lower if rainfall is less
► Yield is higher if rainfall is higher
► Yield is higher if rainfall is nothing

Question No: 17 ( Marks: 1 ) - Please choose one
If the estimating equation is Y = a – b X, which of the following is true
► The y intercept is b
► Slope of line is positive
► There is inverse relationship
► There is direct relationship

Question No: 18 ( Marks: 1 ) - Please choose one
How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
► 256
► 12
► 81
► None of these

Question No: 19 ( Marks: 1 ) - Please choose one
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
► 5^10
► 10^5
► 10P5
► 10C5

Question No: 20 ( Marks: 1 ) - Please choose one
Equation of line having slope 0 and passing through the point A (0, 0) is

► X =0
► Y= X
► Y=0
► X-1= 0


Question No: 21 ( Marks: 2 )
Define the Null Hypothesis.

ANS: Null hypothesis is a scenario which explain a given set of data. It is tested to determine whether data provides sufficient reasons to pursue some alternative hypothesis.
It is a hypothesis that states there is no difference between 2 or more sets of data.

Question No: 22 ( Marks: 2 )
A coin can be tossed in 3 ways. A die can be thrown in 6 ways. A coin and a die together can be thrown in …3 X 6 = 18……….ways.

Question No: 23 ( Marks: 2 )
Find harmonic mean (HM) of 10,12,14,17.
ANS: Harmonic mean,HM = n/(1/x1 + 1/x2 + 1/x3 + 1/x4 +…… +1/xn)


N= 4
X1 = 10
X2 = 12
X3 = 14
X4 = 17
1/x1 + 1/x2 + 1/x3 + 1/x4 = 1/10 + 1/12+ 1/14+ 1/17 = 0.2385
Harmonic mean = 4/0.2385= 16.77


Question No: 24 ( Marks: 3 )
Find proportion of bags which have weight in excess of 505 g.
Mean = 500.
StDev = 2.5 g
(For z=2.00 probability is 0.4772)


Question No: 25 ( Marks: 3 )
Given for a frequency distribution mode = 18, mean = 21.Calculate median . Using these values comment on skewness of distribution.
ANS: We know that,
Mean-mode= 3(mean- median)
Median= (2*mean+mode)/3
Since,
Mean= 21
Mode= 18
So,
Median = (2*21+18)/3
= (42+18)/3 = 60/3 = 10
The distribution is Moderately skewed and unimodal distribution.



Question No: 26 ( Marks: 3 )
How many different ways can you select 2 letters from the set of letters: X, Y, and Z? (Hint: In this problem, order is NOT important; i.e., XY is considered the same selection as YX.)
ANS: Total number of letters = 3
Letters taken at a time = 2
Number of ways in which 2 letters can be selected out of 3 = 3C2 = 3! / 2!(3-2)!
=3*2*1/ 2
= 3

Question No: 27 ( Marks: 5 )
How many possible permutations can be formed from the word MATHEMATICS?
ANS: Total number of alphabets in mathematics = 11
M = 2
A = 2
T = 2
H = 1
E = 1
I = 1
C = 1
S = 1
Permutations = 11! / 2! * 2! * 2! *1! * 1! * 1* 1! * 1!
= 11! / 8 = 4,989,600



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