Phone:+91-88823 09876

Amity Solve Assignment For Business Statistics

Body: 

Amity Solve Assignment For Business Statistics

 

S. No. Questions Marks - 10
 
1

 

 

A manufacturer produces two different models: X and Y, of the same product. Model X makes a contribution of Rs. 50 per unit and model Y, Rs. 30 per unit towards total profit. Raw materials R­1 and R2 are required for production. Atleast 18 kg of R1­ and 12 kg of R2 must be used daily. Also atmost 34 hours of labour are to be utilized. A quantity of 2 kg of R1 is needed for model X and 1 kg of R1 for model Y. For each of  X and Y, 1 kg of R2 is required. It takes 3 hours to manufacture model X and 2 hours to manufacture model Y. How many units of each model should be produced to maximize the profit?(Use graphical method to solve).

 

  
 
2

Explain the various types of sampling methods. The manager of a courier service believes that packets delivered at the end of the month are heavier than those delivered early in the month. As an experiment, he weighed a random sample of 20 packets at the begigning of the month. He found that the mean weight was 5.25 kgs with a standard deviation of 1.20 kgs. Ten packets randomly selected at the end of the month had a mean weight of  4.96 kgs and a standard deviation 1.15 kgs. At the 0.05 significance level, can it be concluded that the packets delivered at the end of the month weigh more?

  
 
3

 

A departmental store has been the target of many shoplifters during the past month, but owing to increased security precautions, 250 shoplifters have been caught. Each shoplifter’s sex is noted, also noted is whether he/she was a first time or repeat offender. The data are summarized in the table below:

Sex

First time offenders

Repeat offender

Male

60

70

Female

44

76

 

Assuming that an apprehend shoplifter is chosen at random, find:

(a)   The probability that the shoplifter is male.

(b)   The probability that the shoplifter is a first time offender , given that the shoplifter is male.

(c)   The probability that the shoplifter is female, given that the shoplifter is a repeat offender.

(d)   The probability that the shoplifter is female, given that the shoplifter is a first time offender.

 

 

  
 
4

 

 

Answer any  three of the following .

  1. Define Statistics. What are the important functions and limitations of Statistics?
  2. What is the difference between primary and secondary data? Give different methods of collecting them.
  3. What are the various types of correlation?
  4. What are the various components of a time series?
  5. Explain scatter diagram method of determining correlation.

 

  
 
5

 

  In 2003 a firm began downsizing in order to reduce its costs. One of the results of these cost cutting measures has been a decline in the percentage of private industry jobs that are managerial. The following data show the percentage of females who are managers from 2003 to 2010.

  •  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  •  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  1. Develop a linear trend for this time series.
  2. Use this trend to estimate the percentage of females who are managers in 2011.

 

 

  
 
6

 

   The HRD manager of a company wants to find a measure which he can use to fix the monthly income of persons applying for a job in the production department. As an experimental project, he collected data on 7 persons from that department referring to years of service and their monthly income.

Years of service
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  

Income (Rs. In 1000’s)
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  

 

  1. What is the degree of association (correlation) between years of service and income?
  2. Find the regression equation of income on years of service.
  3. What initial start would you recommend for a person applying for the job having served in a similar capacity in another company for 13 years?

 

  
 
7

 

  A record was kept over a period of 6 months by a sales manager to determine the average number of calls made per day by his six salesmen. The results are shown below:

  •  
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  

Average number of calls per day
  1.  
  1.  
  1.  
  1.  
  1.  
  1.  

 

  1. Compute a measure of skewness. Is the distribution symmetrical?
  2. Compute a measure of kurtosis. What does this measure mean?

 

 

  
 
8

 

Public transportation and the automobiles are two options an employee can use to get to work each day. Samples of time (in minutes) recorded for each option are shown below:

Public transportation

28

29

32

37

33

25

29

32

41

34

Automobile

29

31

33

32

34

30

31

32

35

33

 

(a)   Compute the sample mean time to get to work for each option.

(b)   Compute the sample standard deviation for each option.

(c)   Which method of transportation is more consistent?
 
Case Detail :

CASE STUDY:

ACC – A pioneer in the Indian cement industry

Associated Cement Companies Ltd. (ACC)  came into existence in 1936, after the merger of 10 companies belonging to four important business groups: Tatas, Khataus, Killick Nixon, and F E Dinshaw. The Tata group was associated with ACC since its inception. It sold 14.45% of its share to Gujrat Ambuja cements Ltd between 1999 and 2000. After this strategic alliance, Gujrat Ambuja Cements Ltd became the largest single stakeholder in ACC. In 2005, ACC entered into a strategic relationship with the Holcim group of Switzerland, a world leader in cement as well as a large supplier of concrete, aggregates, and certain construction related services. These global strategic alliances have strengthened the company.

ACC is India’s foremost manufacturer of cement and concrete. The company has a wide range of operations with 14 modern cement factories, more than 30 ready mix concrete plants, 20 sales offices, and seven zonal offices. ACC’s research and development facility has a unique track record of innovative research, product development, and specialized consultancy services. ACC’s brand name is synonymous with cement and it enjoys a high level of equity in the Indian market.

The Impact of Cartelization

Cartelization is one of the major problems in the cement industry. Cartelization takes place when dominant players of the industry join together to control prices and limit competition. In the Indian market, manufacturers have been known to enter into agreements to artificially limit the supply of cement so that the price remains high. When markets are not sufficiently regulated, large companies may be tempted to collude instead of competing with each other. For example, in May 2006, the competition Council of Romania imposed a combined fine of 27 million Euros on France’s Lafarge, Switzerland’s Holcim, and Germany’s Carpatcement for being involved in the cement cartel in the Romanian market. These three companies share 98% of Romanian cement capacity. The government shouls appropriate actions to check acts of cartelization.

Escalating input and fuel costs have forced manufacturers to tap new sources of supply and increase the quest for alternative fuels and raw materials. The cement industry is faced with the challenge of optimizing the utilization of scare basic raw materials and fossil fuels while simultaneously protecting the environment and maintaining emission levels within acceptable limits. It is vital for the cement industry to achieve high levels of energy utilization efficiencies and to sustain them continuously. Table below exhibits sales turnover and advertisement expenses of ACC from 1995 to 2007.

Year

Sales

(in million rupees)

Advertisement

(in million rupees)

1995

20,427

58

1996

23,294

72

1997

24,510

122

1998

23,731

61

1999

25,858

144

2000

26,792

132

2001

29,361

172

2002

32,260

184

2003

33,718

259

2004

39,003

334

2005

45,498

321

2006

37,235

336

2007

64,680

442

 

 

1.

Develop an appropriate regression model to predict sales from advertisement.
2.

Calculate the coefficient of correlation and state its interpretation.
3.

Predict the sales when advertisement is Rs. 500 million.
Question No: 1

 

Answer all questions.

   The algebraic sum of the deviations from mean is:

 
   
Maximum
Minimum
Zero
None of the above
 
Question No: 2

The arithmetic mean of the first n natural numbers 1, 2, ……,n is:
   
n/2
(n+1)/2
n(n+1)/2
None of the above
 
Question No: 3

which of the following relationship is true for a asymmetrical distribution:
   
mean – mode = 3(mean – median)
mode = 3medain – 2mean
3medain = 2mean + mode
All of the above
 
Question No: 4

If the mean and coefficient of variation of a set of data is 10 and 5 respectively, then the standard deviation is:
   
10
50
5
None of the above
 
Question No: 5

If the first and third quartiles are 22.16 and 56.36 respectively, then the quartile deviation is:
   
17.1
34.2
51.3
None of the above
 
Question No: 6

The relationship between mean deviation and quartile deviation is:
   
MD = 5/6 QD
MD = 6/5 QD
MD = 4/5 QD
MD = 5/4 QD
 
Question No: 7

If the mean deviation is 8, then the value of the standard deviation will be:
   
15
12
10
None of the above
 
Question No: 8

If quartile deviation is 8, then the value of standard deviation will be:
   
12
16
24
None of the above
 
Question No: 9

If events are mutually exclusive, then:
   
their probabilities are less than one
their probabilities sum to one
both events cannot occur at the same time
both of them contain every possible outcome of an experiment.
 
Question No: 10

Posterior probabilities for certain events are equal to their prior probabilities provided:
   
all the prior probabilities are less than zero.
Events are mutually exclusive
Events are statistically independent
None of the above
 
Question No: 11

What is the probability that a value chosen at random from a population is larger than the median of the population?
   
0.25
0.50
0.75
1
 
Question No: 12

Bayes’ theorem is useful in
   
Revising probability estimates
Computing conditional probabilities
Computing sequential probabilities
None of the above
 
Question No: 13

A probability of getting the digit 2 in a throw of unbiased dice is
   
0
½
1/6
¾
 
Question No: 14

A bag contains 3 red, 6 white and 7 blue balls. If two balls are drawn at random, then the probability of getting both white balls is
   
5/40
6/40
7/40
14/40
 
Question No: 15

What is the probability of getting more than 4 in rolling a dice?
   
1/6
1/3
½
1
 
Question No: 16

If the outcome is an odd number when a die is rolled, then the probability that it is a prime number is
   
1/3
2/3
1/6
5/6
 
Question No: 17

 

 

 
   
Independent
Dependent
Equally likely
None of the above
 
Question No: 18

   
0.10
0.90
1.00
0.75
 
Question No: 19

In a binomial distribution if n is fixed and p > 0.5, then
   
The distribution will be skewed to left
The distribution will be skewed to right
The distribution will be symmetric
Cannot say anything
 
Question No: 20

The binomial distribution is symmetric when
   
p < 0.5
p > 0.5
p = 0.5
p has any value
 
Question No: 21

All normal distribution are
   
Bell shaped
Symmetrical
Defined by its parameter
All of the above
 
Question No: 22

   
2
5
10
15
 
Question No: 23

For a standard normal probability distribution, the mean µ and standard deviation are:
   
µ = 0 , s = 1
µ = 16 , s = 4
µ = 25 , s = 5
µ = 100 , s = 10
 
Question No: 24

For a normal distribution if mean is 30, then its mode value is
   
15
30
50
None of the above
 
Question No: 25

Which of the following is a necessary condition for using a t distribution?
   
Small sample size
Unknown population standard deviation
Both (a) and (b)
Infinite population
 
Question No: 26

Sampling distribution is usually the distribution of
   
Parameter
Statistic
Mean
Variance
 
Question No: 27

The process of selecting a subset of a population for a survey is known as
   
Survey research
Representation
Triangulation
Sampling
 
Question No: 28

What is sampling for groups with considerable variation but similar to each other called?
   
Cluster
Stratified
Systematic
Random
 
Question No: 29

If the relationship between x and y is positive, as variable y decreases, variable x
   
Increases
Decreases
Remains same
Changes linearly
 
Question No: 30

 

The line of best fit to measure the variation of observed value of dependent variable in the sample data is

 

 
   
Regression line
Correlation coefficient
Standard error
None of these
 
Question No: 31

If bxy is greater than one, then byx must be
   
Less than one
More than one
Equal to one
None of these
 
Question No: 32

Linear programming is a
   
Constrained optimization technique
Technique for economic allocation of limited resources
Mathematical technique
All of the above
 
Question No: 33

A constraint in a linear programming model restricts
   
Value of objective function
Value of a decision variable
Use of the available resources
All of the above
 
Question No: 34

The best use of linear programming technique is to find an optimal use of
   
Money
Manpower
Machine
All of the above
 
Question No: 35

While solving a LP model graphically, the area bounded by the constraints is called
   
Feasible region
Infeasible region
Unbounded solution
Unbounded solution
 
Question No: 36

A feasible solution to an LP problem
   
Must satisfy all the problem’s constraints simultaneously
Need not satisfy all the constraints, only some of them
Must be a corner point of the feasible region
Must optimize the value of the objective function
 
Question No: 37

 

 

The standard deviation of the binomial distribution is:

 
   
     np
  
      npq
  
 
Question No: 38

The standard deviation of first n natural numbers is: Ans =C

 
   
 
Question No: 39

 

For a standard normal probability distribution, the mean µ and standard deviation are
   

               µ = 0  ,  σ = 1

 

µ = 16  ,  σ = 4

µ = 25  ,  σ = 5

µ = 100  ,  σ = 10
 
Question No: 40

 

 

Two events A and B are statistically independent when Ans =D

 
   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Title:
Amity Solve Assignment For Business Statistics
Short Name or Subject Code:  Business Statistics
University:  Amity
Select Type: 
General everyone
Service Type:  Assignments
Select Semester:  Semester- III Select Cource:  B.B.A
commerce line item type: 
Price: 
₹300.00
Product: