Printed Pages: 6 535 MBTM-015/NMBA-015
(Following Paper ID and Roll No. to be filled in your Answer Book)
Paper ID: 270105 Roll No.
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B.Tech
(SEM. I) THEORY EXAMINATION, 2015-16
BUSINESS STATISTICS
[Time:3 hours] [Total Marks:100]
SECTION-A
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Note: Attempt all Questions of the following: 10×2=20
- (a) Discuss the application of Statistics in managerial decision.
- (b) Distinguish between skewness & Kurtosis.
- (c) Briefly explain the components of Time series?
- (d) Define index number with suitable example.
- (e) What is Coefficient of rank correlation? How it is interpreted?
- (f) What are two regression lines?
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- (g) Define 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) Define Chi square test.
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SECTION-B
Note: Attempt any five questions from this section. (10×5=50)
- "Statistics is not a science; It is a scientific method". Examine this statement.
- Following is the distribution of marks of 50 students in a class
Marks(more than) 0 10 20 30 40 50
No. of Students 50 46 40 20 10 3
Calculate the median. - Fit a Straight line trend by least squares method to the data given below and estimate trend for 2008:
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Year 2002 2003 2004 2005 2006 2007
(Sales '000 Rs) 10 12 15 16 18 19 - 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, 1/5and 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--- Content provided by FirstRanker.com ---
b) Fixed 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 Rs.90 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):
Z 0 0.5 1.0 1.5 2.0
Area 0.0000 0.1915 0.3413 0.4332 0.4772 - Four person in a group are graduates if 4 persons are selected at random from 20. Find the probability that
Village A Village B No. of Respondents 600 500 Average Income (Rs) 175 186 Standard Deviation (Rs) 10 9
a. All are graduates.
b. At least one is graduate. - The following figures relate to the no. of units of an item produced per shift by two workers A and B respectively.
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A 19 22 24 27 24 18 20 19 25
B 26 37 40 35 30 30 40 26 30 35 45
Can be inferred that worker A is more stable compared to worker B using F-test 5% level of significance?
(Critical Value at 5% significance is F(10,8)=3.35)
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SECTION-C
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Note: Attempt any two questions from this section. (15×2=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:
(i) What is the average income of the respondents in the village A and B put together?
(ii) In which village is the variation in income greater?--- Content provided by FirstRanker.com ---
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 machines A, B and C?
c) A Certain drug is claimed to be effective in curing colds. In an experiment on 500 persons with cold, half of them 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 70 Sugar Pills 130 40
On the basis of the data, can it be concluded that there is a significant difference in the effect of drug and sugar pills. (x2 at df 2,5% = 5.99)
-X-
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This download link is referred from the post: AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University
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