MTH302 Final

FINALTERM EXAMINATION


Spring 2010

MTH302- Business Mathematics & Statistics

Ref No: 1506089

Time: 90 min

Marks: 60

Student Info

Student ID: MC100206769

Center:

Exam Date:





For Teacher's Use Only

Q No. 1 2 3 4 5 6 7 8 Total

Marks

Q No. 9 10 11 12 13 14 15 16

Marks

Q No. 17 18 19 20 21 22 23 24

Marks

Q No. 25 26 27 28 29 30 31 32

Marks

Q No. 33 34 35 36 37 38 39

Marks











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 ( 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



► 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 ( 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 ) - 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 ) - Please 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 ) - Please choose one







The 2 distribution is ---------------





► Positively skewed



► Negatively skewed



► Symmetrical



► None of these







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







The value of 2 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?



► (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



► 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?

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.