MTH302 Final Term 2010

FINALTERM  EXAMINATION

Spring 2010

MTH302- Business Mathematics & Statistics

Ref No:

Time: 90 min

Marks: 60

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For Teacher's Use Only
Q No.	1	2	3	4	5	6	7	8	Total
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Q No.	9	10	11	12	13	14	15	16
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Q No.	17	18	19	20	21	22	23	24
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Q No.	25	26	27	28	29	30	31	32
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Q No.	33	34	35	36	37	38	39
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Question No: 1      ( Marks: 1 ) - Please choose one

 

A significant value of a correlation coefficient calculated from a sample of data

 (x, y) implies that                          

       ► x causes y

       ► y causes x

       ► x and y have a curved relationship

       ► x and y have a relationship with a strong linear component

Question No: 2      ( Marks: 1 ) - Please choose one

 

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

       ► 1260

       ► 210

       ► 10C6 * 6!

       ► 10C5 * 6

Question No: 3     www.vuaskari.com( Marks: 1 ) - Please choose one

 

When there is no linear correlation between two variables, what will the value of r be?

       ► -1

       ► +1

       ► 0

       ► a very small negative number

Question No: 4      ( Marks: 1 ) - Please choose one

 

The weighted mean is a special case of the    

       ► Mean

       ► Harmonic mean

       ► Mode

       ► Geometric mean

Question No: 5      ( Marks: 1 ) - Please choose one

 

A scatter diagram is a chart    http://vustudents.ning.com

       ► In which the independent variable is scaled along the vertical axis.

       ► In which the dependent variable is scaled along the horizontal axis.

       ► That portrays the relationship between two variables.

       ► Dependent and independent variables are always directly proportional

Question No: 6      ( Marks: 1 ) - Please choose one

 

The sample coefficient of correlation

       ► Has the same sign as the slope, i.e. b

       ► Can range from -1.00 up to 2.00

       ► Is also called Peterson's r.

       ► Can range from -3.00 up to 2.00

Question No: 7      ( Marks: 1 ) - Please choose one

 

If sign of r is negative then it indicates

       ► Direct relationship between X & Y

       ► Indirect relationship between X & Y

       ► X & Y equal

       ► X & Y are square

Question No: 8  www.vuaskari.com   ( Marks: 1 ) - Please choose one

 

A distribution that has a great many values clustered to the left and then tails off to the right is said to be

       ► negatively skewed

       ► positively skewed

       ► mean

       ► median

Question No: 9      ( Marks: 1 ) - Please choose one

 

Evaluate 

       ► 20

       ► 15

       ► 25

       ► 30

Question No: 10      ( Marks: 1 ) - Please choose one

 

In the equation   the formula to calculate b is

       ►

       ►

       ►

       ►

Question No: 11      ( Marks: 1 ) www.vuaskari.com- Please choose one

 

Monomial is

       ► A polynomial

       ► Only Single variable

       ► Only Single constant term

       ► A term of both variable and constant

Question No: 12      ( Marks: 1 ) - Please choose one

 Find x if 3(x + 2) - 7 = 11.

       ► 2

       ► -4

       ► 6

       ► 4

Question No: 13      ( Marks: 1 ) - Please choose one

 

Markup is an amount added to a ……………while calculating a selling price

       ► Cost price

       ► Bid price

       ► Offer price

       ► None of these

Question No: 14      ( Marks: 1 ) - www.vuaskari.comPlease choose one

 

Anwar buys a pencil for Rs 3. He sells it for Rs 5.   What is his Percent Markup on Selling Price?

       ► 20%

       ► 30%

       ► 40%

       ► 50%

Question No: 15      ( Marks: 1 ) - Please choose one

 

If x: y = y: 1, then

       ► X = y

       ► X = y^2

       ► X = y / x

       ► X = -y

Question No: 16      ( Marks: 1 ) - Please choose one

 

All of the following are measures of central tendency except the

       ► range.

       ► mode.

       ► mean.

       ► median.

Question No: 17      ( Marks: 1 ) - Please choose one

 

 ---

       ► 100

       ► 0

       ► 1 

       ► None of these

Question No: 18      ( Marks: 1 ) - Please choose one

 

For two tail test, when  the value of Z is

       ► 1.96    

       ►  1.645      

       ► 2.326     

       ► 2.575

Question No: 19      ( Marks: 1 ) - Please choose one

 

What do you deduce from the diagram of the Normal Distribution?

       ► Mean is greater than Standard deviation.

       ► Mean is lesser than Standard deviation.

       ► Mean is equal to Standard deviation.

       ► No result can be drawn.

Question No: 20      ( Marks: 1 ) - Please choose one

 

 is used to calculate -----------------------

       ► Normal Distribution

       ► Binomial Distribution

       ► Poisson Distribution

       ► Cumulative Poisson Distribution

Question No: 21      ( Marks: 1 ) - Please choose one

 

For the set of data 2, 1, 3, 1, 4, 5, 2, 6, 8 the median is given by

       ► 4

       ► 1

       ► 2

       ► 3

Question No: 22      ( Marks: 1 ) http://vustudents.ning.com- Please choose one

 

The c2 distribution is  ---------------

       ► Positively skewed

       ► Negatively skewed

       ► Symmetrical

       ► None of these

Question No: 23      ( Marks: 1 ) - Please choose one

 

The value of c2 is always ------------------

       ► Positive

       ► Negative

       ► 0

       ► None of these

Question No: 24      ( Marks: 1 ) - Please choose one

 

Badri has 9 pairs of dark Blue socks and 9 pairs of Black socks. He keeps them all in a same bag. If he picks out three socks at random what is the probability he will get a matching pair? http://vustudents.ning.com

       ► (2*9C2 * 9C1) / 18C3

       ► (9C2 * 9C1) / 18C3

       ► 1

       ► 0

Question No: 25      ( Marks: 1 ) - Please choose one

 

For any event probability is always

       ► Less than zero

       ► Equal to zero

       ► Not equal to zero

       ► Lies between 1 and 0

Question No: 26      ( Marks: 1 ) - Please choose one

 

When a straight line is fitted to time series data, it is called

       ► Linear trend

       ► Non-Linear equation

       ► Linear equation

       ► Linear regression

Question No: 27      ( Marks: 1 ) - Please choose one

 

Given a matrix A such that

Then A^-1  will be

       ►

       ►

       ►

       ► None of these

Question No: 28      ( Marks: 1 ) - Please choose one

 

In negative binomial distribution  http://vustudents.ning.com

       ► trials are independent

       ► trials are dependent

       ► probability of success is different on every trial

Question No: 29      ( Marks: 1 ) - Please choose one

 

Ali has improved his typing speed from 40w/m to 60w/m.The percentage improvement is

       ► 20%

       ► 150%

       ► 50%

       ► 30%

Question No: 30      ( Marks: 1 ) - Please choose one

 

Standard deviation of the sampling distribution tells us

       ► how the distribution can be calculated

       ► how the sample values differ from the mean

       ► how the error canbe calculated                   

       ► none of these

Question No: 31      ( Marks: 2 )

 

What will be the correlation coefficient r between variables X and Y if varX=4,varY=9 and Cov(X,Y)=3 ?

Answer

R=9

Question No: 32      ( Marks: 2 )

 

What are the disadvantages for the so larger & so smaller values of smoothing constants in forecast analysis? http://vustudents.ning.com

ANSWER :

A small value will have less of a smoothing effect and be more responsive notice that this technique same disadvantages as the simple moving average as larger values actually reduced the level of smoothing effect.

Question No: 33      ( Marks: 2 )

 

What will be the standard deviation of a sample of size 25 if its population variance is 2 .

ANSWER

Standard deviation = 12.5

Question No: 34      ( Marks: 3 )

 

A random sample of size n is drawn from normal population with mean 6 and standard deviation 

       1.2; if  z = 4,  8 what is n?

ANSWER :

N=2

Question No: 35      ( Marks: 3 )

 

Find Covariance Cov(X,Y) if var(X)=7,var(Y)=6 and  correlation coefficient r between X and Y is 0.3?

ANSWER

COV(X,Y)=1.3

Question No: 36      ( Marks: 3 )

 

In a school, 50% students study science subjects and 30% of them study biology. What is the probability that the student studies Biology?    

Question No: 37      ( Marks: 5 )

 

Suppose there are 12 married couples in a party. Find the number n of ways of choosing a man and a woman from the party such that the two are:

a)      married to each other                                    (2)

b)      not married to each other.                             (3)

Question No: 38      ( Marks: 5 )

 

Using the formula  find the coefficient of linear correlation with the help of given table

X	5	6	8	9
Y	6	7	9	10

ASNWER :

∑X	∑Y	∑x2	∑y2	∑xy
5	6	25	36	30
6	7	36	49	42
8	9	64	81	72
9	10	81	100	90
28	32	206	266	234

Put the values in the formula

R=                4(234)-(28)(32)

      (4(206)-(784))*1/2*(4(266)-(1024))*1/2         

=      936-896

     (824-784)*1/2*(1064-1024)*1/2

=     976

    (40)*1/2*(40)*1/2

=       40

20*20

r= 0.10

       

Question No: 39      ( Marks: 5 )

 

According to a survey, a certain city has a population of 100,000 people age 22 and over with standard deviation of 49. Of them 60% are married . If we draw a sample of 1600 people then find the chance that 58% or less of the people are married.