## MTH302 Business Mathematics & Statistics Spring 2009 Final Term Paper

FINALTERM EXAMINATION
Spring 2009

Time: 120 min
Marks: 80

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

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
►(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

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.

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

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

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)

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

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

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

► 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 .

Question No: 45 ( Marks: 3 )
Find the trends in the data below:

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?