Quantitative Techniques in Management 

Assignment A

1.     What do you understand by a Linear Programming Problem? What are its limitations? Discuss briefly the applications of linear programming in any functional area of management.     

2.     Solve the following transportation problem for optimal solution.
W1  W2  W3  W4  W5           quantity
P1  20     28  32     55  70              50  
            P2   48     36  40     44  25             100
            P3    35    35  22     45  48             150
Demand     100  70  50  40  40    

3.     What is the Hungarian method for the assingnment problem?    
 

4.    What do you mean by correlation? Explain various type of correlation with the help of examples.    

5.    What is the probability of getting a sum 'FOUR' when two dice are thrown.    

6.    Discuss various components of time series with the help of examples.     

7.    For the given of a random variable x and associated probabilities ( given in rows 1 and 2 of the following table ) work out the variance and standard deviation
X         2    3     4     5     6     7     8    9    10  Total
P(x)   .05 .10  .30  .20  .05  .10  .05  .10  .05  1.00

Assignment B
Case Detail:
The length of life of an instrument produced by a machine has a normal ditribution with a mean of 14 months and standard deviation of 2.5 months. Find the probability that an instrument produced by this machine will last

Que 1 between 10 to 14 months

Que 2. Less than 10 months

Que 3. More than 10 months

Ans.
Assignment C
    
Que 1

Scatter diagram is also called _________________     

Options     
    
Correlation graph 

Dot Chart 

Zero correlation 

None of these 

Que. 2.
Correlation can be ____________________________________________     

Options     
    
Positive only 

Positive or negative 

Negative only 

None of these 

Que 3
In correlation analysis, P.E. = ________________. x 0.6745     

Options     
    
Standard Error

Probable Error 

Correlation analysis 

None of these 

Que. 4
________________________________________
Regression lines are also called ________________________.     

Options     
    
Correlation graph 

Scatter diagram 

Estimating lines 

None of these 

Que. 5

The arithmetic mean of bxy and byx is ____________________________.     

Options     
    
Equal to 1 

Equal to 2 

Greater than r 

Less than r 

Que 6.
____________________________. refers to the chance of happening or not happening of an event.     

Options     
    
Regression 

Probability 

Correlation 

None of these 

Que 7
An event whose occurrence is impossible, is called ______________________     

Options     
    
Sure event 

Impossible event 

Uncertain event 

None of these 

Que 8
If two events, A and B are not mutually exclusive, the P(AUB) = __________________     

Options     
    
P(A) + P(B) 

P(A) + P(B) - P(A and B) 

P(A) + P(B) + P(A and B) 

None of these 

Que 9
The definition of priori probability was originally given by ____________________________     

Options     
    
De-Moivre

Laplace 

Pierre de Fermat 

James bernoulli

Que.10
Three dies are thrown, probability of getting a sum of 3 is ____________________.     

Options     
    
3/216 

(2/3) 

(3/36) 

1/216 

Question No.  11    Marks - 10
Binomial distribution is a ________________________________ probability distribution    

Options    
Discrete    
Continuous    
Continuous distribution    
None of these

Question No.  12    Marks - 10
When probability is revised on the basis of all the available information, it is called ____________.    

Options    
Priori probability    
Continuous    
Posterior probability    
None of these
    
Question No.  13    Marks - 10
The height of persons in a country is a ________________________. random variable.    

Options    
Discrete    
Continuous    
Discrete as well as continuous    
None of these

Question No.  14    Marks - 10
For a binomial distribution with probability p of a success and of q of a failure, the relation between mean and variance is ____________________________.    

Options    
Mean is greater than variance    
Mean is less than variance    
Mean is equal than variance    
Mean is greater than or equal to variance

Question No.  15    Marks - 10
In a binomial distribution,  if n =8 and p = 1/3,then variance = ________________________    

Options    
(16/9)    
(8/3)    
48/3    
64/3

Question No.  16    Marks - 10
Poisson distribution is the limiting form of ______________________________.    

Options    
Poisson    
Binomial distribution    
Normal distribution    
None of these

Question No.  17    Marks - 10
Poisson distribution is a ____________________________probability distribution.    

Options    
Discrete    
Continuous    
Poisson    
None of these

Question No.  18    Marks - 10
In Poisson distribution, the value of ‘e’ = __________________________    

Options    
282    
718    
1.718    
2.718

Question No.  19    Marks - 10
Mean and variance of Poisson distribution is equal to ______________________________.    

Options    
nq    
e    
m    
npq

Question No.  20    Marks - 10
__________________________.distribution gives a normal bell shaped curve.    

Options    
Poison    
Binomial    
Normal    
None of These

Question No.  21    Marks - 10
The height of normal curve is at its maximum at the ______________________.    

Options    
Mean    
Mode    
Medain    
None of these

Question No.  22    Marks - 10
Normal distribution is ______________________    

Options    
Continuous    
Unimodal    
Symmetrical    
All of these

Question No.  23    Marks - 10
An approximate relation between MD about mean and SD of a normal distribution is    

Options    
5MD = 4 SD    
3MD = 3 SD    
3MD = 2 SD    
4MD = 5 SD

Question No.  24    Marks - 10
In a ________________________. distribution, quartiles are equi-distant from median    

Options    
 Poison    
 Normal    
 Binomial    
 None of These

Question No.  25    Marks - 10
A normal distribution requires two parameters, namely the mean and ______________    

Options    
Standard deviation    
mean deviation    
Mode    
Medain

Question No.  26    Marks - 10
Mean ± 2 S.D. covers ______________.% area of normal curve.    

Options    
95.45    
98.73    
68.27    
95.54

Question No.  27    Marks - 10
A __________________________ is a function of sample values.    

Options    
Statistic    
Parameter    
Population    
None of these

Question No.  28    Marks - 10
Test of hypothesis and ________________________ are the two branches of statistical inference    

Options    
Probability    
Statistical analysis    
Estimation    
None of these

Question No.  29    Marks - 10
Quartile deviation of normal distribution is equal to ____________________    

Options    
2/3 S.D.    
4/5 S.D.    
3/4 S.D.    
1 S.D.

Question No.  30    Marks - 10
Type I error is denoted by the symbol ________________________________.    

Options    
Alpha    
Beta    
Gramma    
None of these

Question No.  31    Marks - 10
A sample is treated as large sample when its sample size is ____________________________    

Options    
More than 30    
More than 100    
More than 20    
More than 50

Question No.  32    Marks - 10
Degrees of freedom for Chi-square in case of contingency table of (4x3) order are __________________.    

Options    
6    
7    
8    
9

Question No.  33    Marks - 10
By test of significance, we mean ____________________________    

Options    
A significant procedure in statistics    
A method of making a significant statement    
A rule of accepting or rejecting hypothesis    
A significant estimation problem

Question No.  34    Marks - 10
When sample is small, ________________________ test is applied.    

Options    
z- test    
y- test    
test    
t- test

Question No.  35    Marks - 10
Who developed F-test?    

Options    
R.A. Fischer    
Karl Pearson    
James Bernoulli    
Charles Babage

Question No.  36    Marks - 10
Chi-square test was developed by __________________    

Options    
R.A. Fischer    
Karl Pearson    
William Gosset    
James Bernoulli

Question No.  37    Marks - 10
In a normal curve, the significance level is usually termed as ______________________region    

Options    
Acceptance region    
Critical region    
Level of acceptance    
None of these

Question No.  38    Marks - 10
Chi-square test was first used by____________________________    

Options    
R.A. Fischer    
Karl Pearson    
William Gosset    
James Bernoulli

Question No.  39    Marks - 10
If two samples of size 9 and 11 have means 6.8 and 8.8, and variance 36 and 25 respectively, then value of t = ____________________.    

Options    
0.79    
1.79`    
2.79    
None of these

Question No.  40    Marks - 10
In one way ANOVA, the variances are ______________________    

Options    
Between samples    
Within samples    
Both 1&2 options    
Neither 1 nor 2 option