Download PTU B-Tech Industrial Engineering 2020 Dec 2nd Sem 61008 Fundamentals Of Statistics Question Paper

Download PTU (I.K.Gujral Punjab Technical University (IKGPTU)) B-Tech (Bachelor of Technology) (IE)- Industrial Engineering 2020 December 2nd Sem 61008 Fundamentals Of Statistics Previous Question Paper

Roll No.
Total No. of Pages : 02
Total No. of Questions : 16
B.Tech. (Ind. Engg. & Mgt. (TQM) (Sem.?2)
FUNDAMENT ALS OF STATISTICS
Subject Code : IEM-203
M.Code : 61008
Time : 3 Hrs. Max. Marks : 40
INST RUCT IONS T O CAND IDAT ES :
1 .
Attempt a ny EIGHT out of TEN Question s from SECT ION - A ca rryin g THREE
marks eac h.
2 .
Attempt any FOUR out o f SIX question s from SECT ION -B carry in g NINE mark s
each.
SECTION-A
Write briefly :
1)
Define Geometric and Arithmetic Mean
2)
Difference between descriptive and inferential statistics
3)
Discuss Type I and Type II error
4)
Differentiate between Stratified and Systematic Sampling
5)
A bag contains 8 white and 4 red balls. Five balls are drawn at random. What is the
probability that 2 of them are red and 3 white?
6)
Give two properties of binomial distribution
7)
Difference between positive and negative correlation
8)
What do you understand by level of significance?
9)
What do you mean by standard error of estimate?
10) How histogram is different for pi - chart?
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SECTION-B
11) Haveli Restaurant near the railway station at Mumbai has been having average sales of 500
tea cups per day. Because of the development of bus stand nearby, it expects to increase its
sales. During the first12 days after the start of the bus stand, the daily sales were as under :
550, 570, 490, 615, 505, 580, 570, 460, 600, 580, 530, 526
On the basis of this sample information, can one conclude that Raju Restaurant's sales have
increased? (Test at 5% level of significance and table value of t = 1.796 at 11 d.f.)
12) If the probability of defective bolts is 0.1, find (a) the mean and standard deviation for the
distribution of defective bolts in a total of 500, and (b) the moment coefficient of skewness
and kurtosis of the distribution.
13) The following data gives the sales of the company for various years. Fit the straight line
using least square method.
Year
2009
2010
2011
2012
2013
2014
2015
2016
2017
Sales
13
20
20
28
30
32
33
38
43
(`000)
14) Explain the multiplication theorem of probability.
15) Define the following terms :
a) Attribute data
b) Variable data
c) Coefficient of correlation
d) Range
e) Standard deviation
f) Variance
16) Write a short note on the following :
a) Central limit theorem
b) Skewness and its measures
NOTE : Disclosure of Identity by writing Mobile No. or Marking of passing request on any
paper of Answer Sheet will lead to UMC against the Student.
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