Ms-8 Question bank (12)
Ms-8 Question bank
Ms-8 june 2008
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 june, 2008
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
- What factors in modern society contribute to the increasing importance of quantitative approach to management ? List one applicaticn of quantitative techniques in each functional area of management.
2. The demand for a certain product is represented by the equation p : 20 + 5q
-q2 where q is the number of units demanded and p is the price per unit. Find marginal revenue function. What is the marginal revenue at q = 2 ?
3 From the frequency distribution, find the standard deviation using the formula fcr the grouped data :
|
Class Interval |
frequency |
|
10-20 |
9 |
|
20-30 |
18 |
|
30-40 |
31 |
|
40-50 |
17 |
|
50-60 |
16 |
|
60-70 |
9 |
|
Total |
100 |
4. A drawer contains 50 bolts and 150 nuts. Half of the bolts and half of the nuts are rusted. If one item is chosen at random, what is the probability that it is ruste,C or a bolt ?
5. In a study to test whether there is a difference between the average height of adult females born in two different countries, random samples yielded the following results :
n1= 120 , mean of x1= 62.7 , and s1=2.5
n2= 150 , mean of x2= 61.8 , and s2=2.62
where the measurements significance to test the heights. are in inches. Use 0.05 level of difference between the average heights
6. Write short notes on any threeof the following :
(a) Step functions
(b) significance of Measures of Dispersion
(c) Criteria of Optimism
(di The F disiribution
e)Auto-regressive (AR) models
7. Given below are figures of production (in thousand kilos) for a sugar factory. Obtain the secular trend by fitting a straight line.
8.Find the area under the standard normal curve, which lies
(a) to the left of z= 0.94
(b) to the right of z= 0.65
|
Years |
2000 |
2001 |
2002 |
2003 |
2004 |
2005 |
2006 |
|
Production |
12 |
10 |
14 |
11 |
13 |
15 |
16 |
(c) to the right of z =1.76
(d) between z =0.34 and z =0.62
Ms-8 june 2009
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 june, 2009
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
1. An analysis of the hourly wages paid to workers in two firms A and B belonging to the same industry gives the following results :
|
Firm A |
Firm B |
|
|
Number of wage earner |
586 |
648 |
|
Average hourly wage |
52.5 |
47.5 |
|
Variance of the distribution of wage |
100 |
121 |
2. Which firm, A or B pays out the larger amount as hourly wages ? In which firm A or B, is there greater variability in individual wages ? Bag A contains 2 white and 3 red balls and bag B contains 4 white and 5 red balls. One ball is d.rawn
at random from one of the bags and is found to be red. Find the probability that it was drawn from bag A.
3.What do you understand by probability sampling ? Describe stratified and cluster sampling designs. Vhat is the difference between a cluster and a strata ?
4. A course in Quantitative Applications is taught to 12 students by conventional classroom procedure. A second group of 10 students was given the same course by programmed materials. The same examination was given to each Soup at the end of the course. The 12 classroom sfudents scored 85 marks on an average with the standard deviation 4, while 10 students using programmed material scored SL marks on an average with a standard deviation of 5. Test whether the two methods of learning are equally effective ? Use 0.10 level of significance.
5.The information given below relates to the advertisement and sales of a company (in lakhs of Rupee) :
|
|
Advertisement Expendifure (X) |
Sales (Y) |
|
Arithmetic Mean |
20 |
100 |
|
Standard Deviation |
3 |
12 |
Correlation coefficient between X & Y = 0.8
(a) Find the two regression equations.
(b) What should be the advertisement expenditure if the company wants to attain sales target of Rs 120 lakhs ?
6. Write short notes on any three of the following :
(a) Marginal Revenue
(b) Exponential Smoothing
(c) Less than type Ogive
(d) Probability densify tunction (pdf)
(u) Significance level
7. In a random sample of 500 people of a ctty, it was found that 160 preferred seafood. Find a 95% confidence interval for the actual proportion of people who preferred seafood.
8. Solve the following system of linear equations using matrices :
2x+3y+3z=5
x-2y+z= -4
3x-y-2z= 3
Ms-8 june 2010
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 june, 2010
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
1. A car is purchased for Rs. 300,000. If the depreciation for the first three years is at 10% per annum and for the next two years is at 20% per annum, then calculate the
depreciated value of the car at the end of five years.
2. Units A, B, C of a factory manufacture 25%, 35%, 40% respectively of the total cars.
Out of their output, 5%, 4%, 2% defective cars came from the units A, B, C respectively.
Using Baye's Theorem or otherwise, find the probability that a randomly selected car
found defective has come from the unit A.
3.Explain the term Random variable associated with an Experiment. Thereafter distinguish between discrete and continuous probability distributions also mentioning two discrete and two continuous distributions.
4. Compute the Quartile Q3, Decile D5, Percentile P50 and interpret these values in lines 1— 3 for the grouped data showing profits of 100 companies in a year in the table given below :
|
Profit in lakh Rupees |
Number of Companies + |
|
20-30 |
20 |
|
30-40 |
10 |
|
40-50 |
15 |
|
50-60 |
15 |
|
60-70 |
40 |
5. The breaking strength X of cables in a factory has a normal distribution with a mean of p.=1800 lbs and a standard deviation of v = 100 lbs. It is claimed that the breaking
strength X can be increased by the introduction of a new technique in the manufacturing
process. Should we accept the claim on the basis of a sample of 50 cables manufactured
under the new technique; at a significance level of a = .05 given that the mean breaking
strength for the sample is mean = 1850 with the standard deviation remaining the same.
(For convenience, we are giving the result P (Z <=1.645) = .95 where Z has the standard
normal distribution N (0,1)).
6. Write short notes on any three of the following topics :
a) Primary and secondary data
b) Arithmetic Mean and Median of data
c) Sample space associated with an experiment
d) Linear function
(e) Sampling with and without replacement explaining them, mentioning their scope, drawing graphs and giving examples wherever possible.
7. Using the method of least squares, find the regression equation of y on x for the data given in the Table below :
|
x |
1 |
2 |
3 |
4 |
5 |
|
y |
5 |
7 |
9 |
10 |
11 |
And from the regression equation obtained, find the value of y corresponding to x = 2.5.
8. Solve the system of non-homogeneous linear equations :
x1 +x2 +2 x3= 2
3x1 — x2+ x3 = 6
-x1+ 3 x2 +4x3=4
by any one method out of cramar's rule, Inverse Matrix method, Gauss-Jordan method.
Ms-8 Question bank