Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU)) B-Tech 1st Semester (First Semester) 2015-2016 MBTM 015 Business Statistics Question Paper
(Following Paper ID and Roll No. to be ?lled in your
Answer Book)
Roll No.
B.Tech
(SEM. 1) THEORY EXAMINATION, 2015-16
BUSINESS STATISTICS
[Time:3 hours] [Total Marks:100]
SECTION?A
Note :Attcmpt a_ll Questions of the following: 10X2=20
1. (a) Discuss the application of Statistics in managerial
decision.
(b) Distinguish between skewness & Kurtosis.
(c) Brie?y explain the components of Time series?
((1) De?ne index number with suitable example.
(6) What is Coef?cient of rank correlation? How it is
interpreted ?
(D What are two regression lines?
MBTM 015/NMBA 015/ 31500 (1) P.T.O.
(g) De?ne Normal Distribution? And list its property?
(h) Explain multiplication rule of probability with
suitable example.
(i) What are different types of errors in hypothesis
testing.
(j) De?ne Chi square test.
SECTION?B
Note: Attempt any ?ve questions from this section.
[?0
P
(10x5=50)
?Statistics is not a science; It is a scienti?c method?.
Examine this statement.
Following is the distribution of marks of 50 students
in a class
Markdmorethan) 0 10 20 30 40 50
No.0fStudents 50 46 4O 20 10 3
Calculate the median.
F it a Straight line trend by least squares method to the
data given below and estimate trend for 2008:
Year 2002 2003 2004 2005 2006 2007
(Sales 'OOORS) 10 12 15 16 18 19
(2) MBTM OIS/NMBA 015/ 31500
A Problem in Business Statistics is given to four
Students A,B,C and D their respective chances of
solving it are 1/2, 1/3, l/Sand 1/6. What is the
probability that problem will be solved.
Distinguish between the following pairs:
a) Laspeyre?s and Paasche?s index number formula
b) F ixed base index and Chain base index numbers
In a sample of 240 workers in a factory the mean and
Standard deviation of wages were Rs.113.50 and Rs.
30.30 respectively. Find the percentage of workers
getting wages between R590 and Rs. 170 in the whole
factory assuming that the wages are normally
distributed.
Given area under standard normal curve (between z=0
and z) :
Area 0.0000 0.1915 0.3413 0.4332 0.4772
6) R10.
Four person in a group are graduates if 4 persons are
selected at random from 20. F ind the probability that
a. All are graduates.
b. At least one is graduate.
The following ?gures relate to the no. of units of an
item produced per shift by two workers A and B
respectively.
19 22 24 27 24 18 20 19 25
26 37 40 35 30 30 40 26 30 3545
Can be inferred that workerA is more stable compared
to worker B using F-test 5% level of signi?cance?
(Critical Value at 5% signi?cance is F ( 10,8)=3.35)
SECTION?C
Note: Attempt any two questions from this section.
10.
(15x2=30)
(a) In a statistical investigation in two villages A and
B, the following data was obtained.
A factory produces two types of electric lamps A
and B. In an experiment relating to their life, the
following results were obtained:
(4) MBTM 015/NMBA 015/ 31500
Particulars Village A Village 8
No. of Respondents 600 500
Average Income (Rs) 175 186
Standard Deviation(Rs) 10 9
(i) W hat is the average income of the respondents in
the village Aand B put together?
( ii) In which village is the variation in income greater?
b) In a bolt factory machines A, B and C manufacture
25%. 35% and 40% of the total output. Of the total
of their output 5, 4 and 2 percent are defective bolts.
A bolt is drawn at random from the product and is
found to be defective. What is the probability that
it was manufactured by machinesA, B and C?
c) A Certain drug is claimed to be effective in curing
colds. In an experiment on 500 persons with cold,
halfofthem were given the drug and half of them
were given sugar pills. The patients reactions to
the drugs are recorded in the following table:
Treatment Helpful Reaction No effect
Drug 150 30 70
Sugar Pills 130 40 80
(5) P.T.0.
O
On the basis of the data, can it be concluded that there
is a signi?cant difference in the effect of drug and sugar
pills. (12 at df2,5% = 5.99)
._..,x___
(5) MBTM OlS/NMBA 015/ 31500
This post was last modified on 29 January 2020