## Quantitative Techniques Question Paper of MBA Semester 1, Download Question Paper 7

• Thursday, November 26, 2015

Roll No…….
Total No. of Questions: 07

MBA/MBA (IB) (Sem.-1st)
QUANTITATIVE TECHNIQUES
SUBJECT CODE: MB-104 (2008 & Onwards Batches)
Paper ID: [C0167]

Time: 3 Hrs.                                                                           Max. Marks: 60

Instruction to Candidates:

1.     Section-A is Compulsory.
2.     Attempt any Four questions from Section-B.

SECTION-A
(10 X 2=20)
Q1.
(a)  Distinguish between Correlation and Regression.
(b) Explain the mathematical properties of standard deviation.
(c)  What is Binomial distribution? What are its Conditions?
(d) What do you mean by additive Law of probability?
(e)  Distinguish between Type I error and Type II error?
(f)   What are the components of Time series analysis?
(g)  Briefly explain relationship between Arithmetic Mean, Geometric Mean and Harmonic Mean.
(h) Differentiate between point estimation and interval estimation.
(i)    Define complement of a set.
(j)    Define the concept of standard error.

SECTION-B
(4 X 10=40)
Q2.    Contrast Fisher’ price index using following data and show how it satisfied the time and factor reversal tests.

 Commodity YEAR 2008 2009 Quantity Price Quantity Price A 20 12 30 14 B 13 14 15 20 C 12 10 20 15 D 2 6 10 4 E 8 8 5 6 5

Q3.    The following data relate to the scores obtained by 9 salesmen of a company in a intelligence test and their weekly sales in (Rs. 000’s)

 Salesmen A B C D E F G H I Test Scores 50 60 50 60 80 50 80 40 70 Weekly Sales 30 60 40 50 60 30 70 50 60

(a)  Obtain the two regression equations.
(b) If the intelligence test score of a salesmen in 65, What would be his expected weekly sales?
Q4.    A footwear company has launched a 100% leather shoe for both male and female customers. The company conducted a survey to understand the perception of customers about a 100% leather shoe. The company has taken a random sample of 130 male and 150 female customers. Out of 130 males, 50 responded that a 100% leather shoe matches their lifestyle. Out of 150 females, 90 females responded that a 100% leather shoe matches their lifestyle. Does this indicate that there is a significant difference in the proportion of male and female customers in the population stating that a 100% leather shoe matches with their lifestyle? Test the hypothesis by taking  95% as confidence level.

Q5.    Discuss the role of mathematical and statistics in various business decisions.

Q6.    The weekly sales of two products A and B were recorded as given below:

 Product A 59 75 27 63 27 28 56 Product B 150 200 125 310 330 250 225

Q7.    (a) A man borrows Rs. 40,000 and agrees to pay with a total interest of 5,600 in 12 instalments, each instalments being less than the preceding by Rs. 400.  What should be his first instalment?
(c)  If  A= Calculate A-1.