Quantitative Techniques In Management

MBA Assignment A

Question 1: How has quantitative analysis changed the current scenario in the management world today?

Question 2: What are sampling techniques? Briefly explain the cluster sampling technique.

Question 3: What is the significance of Regression Analysis? How does it help a manager in the decision making process?

Question 4 Explain the following terms in detail (give examples where necessary):

(a.) Arithmetic mean

(b.) Harmonic mean (c.) Geometric mean (d.) Median

(e.) Mode

Question 5: Explain the classical approach to the probability theory. Also explain the limitation of classical definition of probability.

Question 6: Write a note on decision making in management. How one will take decision under risk and uncertainty.

Question 7: The Mumbai Cricket Club, a professional club for the cricketers, has the player who led the league in batting average for many years. Over the past ten years, Amod Kambali has achieved a mean batting average of 54.50 runs with a standard deviation of 5.5 runs. This year Amod played 25 matches and achieved an average of 48.80 runs only. Amod is negotiating his contract with the club for the next year, and the salary he will be able to obtain is highly dependent upon his ability to convince the team’s owner that his batting average this year was

not significantly worse than in the previous years. The selection committee of the club is willing to use a 0.01 significance level.

You are required to find out whether Amod’s salary will be cut next year.

Question 8. The salaries paid to the managers of a company had a mean of Rs. 20,000 with a standard deviation of Rs 3,000, W hat will be the mean and standard deviation if all the salaries are increased by

1) 10%

2) 10% of existing mean

3) Which policy would you recommend if the management does not want to have increased disparities of wages?

MBA Assignment B

Case study

Please read the case study given below and answer questions given at the end.

Kushal Arora, a second year MBA student, is doing a study of companies going public for the first time. He is curious to see whether or not there is a significant relationship between the sizes of the offering (in crores of rupees) and the price per share after the issue. The data are given below:

Question

You are required to calculate the coefficient of correlation for the above data set and comment what conclusion Kushal should draw from the sample.

MBA Assignment C

- A survey to collect data on the entire population is
- A portion of the population selected to represent the population is called
- Qualitative data can be graphically represented by using a(n)
- Fifteen percent of the students in a school of Business Administration are majoring in Economics, 20% in Finance, 35% in Management, and 30% in Accounting. The graphical device(s) which can be used to present these data is (are
- A histogram is
- The mean of a sample
- The median of a sample will always equal the
- The difference between the largest and the smallest data values is the
- The most frequently occurring value of a data set is called the
- The heights (in inches) of 25 individuals were recorded and the following statistics were calculated

Mean = 70 range = 20

Mode = 73 variance = 784

Median = 74

The coefficient of variation equals- The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals
- Which of the following is not a measure of dispersion?
- The coefficient of variation is
- A numerical measure of linear association between two variables is the
- The coefficient of correlation ranges between
- The model developed from s ample data that has the form of
- A regression analysis between sales (Y in $1000) and advertising (X in dollars) resulted in the following equation

The above equation implies that an

- Regression analysis is a statistical procedure for developing a mathematical equation that describes how
- Which of the following is not present in a time series?
- The trend component is easy to identify by using
- The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is
- B) = 0.69, then P (B) =È If P (A) = 0.4, P (B | A) = 0.35, P (A
- B)Ç24. If P (A) = 0.5 and P (B) = 0.5, then P (A
- A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a
- Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?
- The centre of a normal curve is
- A tabular representation of the payoffs for a decision problem is a
- A decision criterion which weights the payoff for each decision by its probability of occurrence is known as the
- The expected opportunity loss of the best decision alternative is the
- An assumption made about the value of a population parameter is called a

- The level of significance is the
- The level of significance in hypothesis testing is the probability of
- A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any over filling or under filling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is
- Whenever all the constraints in a linear program are expressed as equalities, the linear program is said to be written in
- If nan artificial variable is present in the ‘basic variable’ column of simplex table, then the solution is
- The solution to a transportation problem with m – row and n – columns is feasible if number of positive allocations are
- To find the optimal solution to a linear programming problem using the graphical method

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- The solution to a transportation problem with m – row and n – columns is feasible if number of positive allocations are

- If nan artificial variable is present in the ‘basic variable’ column of simplex table, then the solution is

- The level of significance in hypothesis testing is the probability of

- The expected opportunity loss of the best decision alternative is the

- A decision criterion which weights the payoff for each decision by its probability of occurrence is known as the

- A tabular representation of the payoffs for a decision problem is a

- The centre of a normal curve is

- Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

- The trend component is easy to identify by using

- Which of the following is not present in a time series?

- The model developed from s ample data that has the form of

- The coefficient of correlation ranges between

- A numerical measure of linear association between two variables is the

- The coefficient of variation is

- Which of the following is not a measure of dispersion?

- The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals

- The heights (in inches) of 25 individuals were recorded and the following statistics were calculated

- The most frequently occurring value of a data set is called the

- The difference between the largest and the smallest data values is the

- The median of a sample will always equal the

- The mean of a sample

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