MTH302 Final

FINALTERM EXAMINATION


Spring 2010

MTH302- Business Mathematics & Statistics

Ref No: 1743064

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

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





An arrangement of data by successive time periods is called a





► Exponential Smoothing





► Time Series



► Combination





► Permutation









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





What is the probability of choosing a vowel from the alphabet?



► 21/26





► 5/26





► 1/21





► 2/21









Question No: 3 ( Marks: 1 ) - Please choose one





What is the probability of scoring 11 when you roll two dice?



► 1/18





► 2/18





► 1/36





► 3/18









Question No: 4 ( 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: 5 ( Marks: 1 ) - Please choose one











The answer of the SUMIF function in the above diagram is:



► 763



► 663



► 613



► 513







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







Two dice are rolled and the numbers are added together. The probability of the total being 12 is





► True



► False









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





Twelve randomly-chosen students were asked how many times they had missed class during a certain semester, with this result: 2, 1, 5, 1, 1, 3, 4, 3, 1, 1, 5, 18. For this sample, which measure of central tendency is least representative of the "typical" student?





► Mean



► Median



► Mode





► Midrange







Question No: 8 ( Marks: 1 ) - Please choose one





The experimental region is the range of the previously observed values of the dependent variable.





► False



► True







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





----------- should be of equal size.





► Intervals



► table



► frequency



► mean







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





Let’s assume that you are receiving 1000 Rs. every year, and you invested each payment at 5%. The amount you would have at the end of five years period is referred as





► Final Value



► Cumulative interest



► Accumulated value



► Principal value







Question No: 11 ( Marks: 1 ) - Please choose one





The point where a straight line cuts the X-axis is called



► slope



► starting point



► y-intercept



► x-intercept







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





Which ratio is equal to 15:20?



► 21 to 28



► 5 to 10



► 18:25



► None of these







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





Reduction from original selling Price is called ………





► Loss



► List price



► Profit



► Markdown







Question No: 14 ( Marks: 1 ) - Please choose one





This example returns the present value of an investment that pays Rs. 100 at the end of every year for 10 years. The money paid out will earn 5.25% annually.



► =PV (5.25%/1, 10*1, 100, 0)



► =PV (5.25%/1, 10*1, 100, 1)



► =PV (5.25%/12, 10*1, 100, 0)



► =PV (5.25%/1, 10*12, 100, 1)







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





Which is the correct syntax for the determinant of a matrix given by the following array







► =DETERM(B4:E7)





► =MDTERM(B4:E7)





► =MDETERM(B4:E7)





► =MDETERM(B4;E7)









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





While using Frequency function ,one always selects





► one cell more than data array.





► one cell more than bins array .





► at most 20 cells.





► random number of cells.









Question No: 17 ( 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: 18 ( Marks: 1 ) - Please choose one









The result of BINOMDIST is #NUM. Why?





► One parameter is missing.



► Fourth parameter is FALSE



► The number of successes should be negative.



► Probability of success on each trial should be less than 1.







Question No: 19 ( 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: 20 ( 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: 21 ( Marks: 1 ) - Please choose one





The variable plotted on the horizontal or X-axis in a scatter diagram is called the



► Independent variable



► Dependent variable



► Correlation variable



► scatter variable







Question No: 22 ( Marks: 1 ) - Please choose one





For two tail test, when the value of Z is



► 1.96



► 1.645



► 2.326



► None of these







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





No Linear Programming problem with an unbounded feasible region has a solution.





► true



► false



► may or may not



► none of these







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





The Linear Programming Model maximize or minimize the





► line



► both linear and quadratic functions



► None of these



► quadratic function







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





From the given scenario, Output of SUMIF(A3:A12,”Away” A3:A12) function will be







► 10



► 14



► 0



► #NAME?







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





which of the given function returns the normal distribution for the specified mean and standard deviation.





► NORMSDIST



► NORMDIST



► NORMSINV



► NORMINV







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





There are 12 "Yes or No" questions. How many ways can these be answered?



► 1024



► 2048



► 4096



► 144







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





There may be more than one optimal solution of linear programming problem, however the condition is that





► the objective function must be parallel to all the constraints



► the objective function must be paralle to one of the constraints.



► the objective function must not be paralle to any of the constraints.



► None of these







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





For CUMULATIVE Binomial distribution, which of the following formulae is correct?



► =BINOMDIST( 4, 7, 0.5, FALSE )



► =BINOMDIST( 4, 7, 0.5, TRUE )



► =BINOMDIST( 4, 7, 2.5, FALSE )



► =BINOMDIST( 4, 7, 2.5, TRUE )







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





A bar graph uses ……to show data.



► Points



► Lines



► Circle



► Bars







Question No: 31 ( Marks: 2 )





How many different 5-letter arrangements are there of the letters in the word DIGIT ?







Question No: 32 ( Marks: 2 )





Explain what is meant by confidence interval?





Question No: 33 ( Marks: 2 )





Average sale and standard deviation for a store are 17 and 5.5 respectively .Find coefficient of variation .





Question No: 34 ( Marks: 3 )





Suppose a coin is flipped 3 times. What is the probability of getting two tails and one head?







Question No: 35 ( Marks: 3 )





From the data below:

Week no. Actual sales Forecast

2 4000 4500

Given that  = 0.4, find the forecast for the 3rd week.





Question No: 36 ( Marks: 3 )





A random sample of size 36 is taken from a normal population with a known variance If the mean of the sample is 42.6. Find the left confidence limit for the population mean.







Question No: 37 ( Marks: 5 )





Two students were informed that they received standard scores of 0.8 and -0.4 respectively on a multiple choice examination in English. If their marks were 88 and 64 respectively. Find the mean and standard deviation of the examination marks.







Question No: 38 ( Marks: 5 )





Find the centered average in the data below:

Quarter Actual Moving Average Centered Average

1 142

2 54

3 162 141

4 206 138

1 130 137

2 50 140

3 174 138

4 198 137

1 126 135

2 42 132

3 162 129

4 186







Question No: 39 ( Marks: 5 )





Find the probability that in a family of 4 children there will be at least 1 boy.