Punjab Technical University 2007-1st Sem B.B.A (-)-INTRODUCTION TO MODERN BUSINESS - Question Paper

BBA (102)(Old/S05) (Sem. - 1st)

BASIC BUSINESS STATISTICS

Time : 03 Hours Maximum Marks : 75
Instruction to Candidates:
1) part -A is Compulsory.
2) Attempt any 9 ques. from part - B.

part - A
(15 × two = 30)
Q1)
a) Represent the subsequent data by a stem-and -leaf plot and a histogram.
12 11 nine five 12 six seven nine 11 11
b) compute the mean of the subsequent.
Numbers eight 10 15 20
Frequency five eight 8 4
c) obtain the mean deviation of the set of numbers provided by
9, 3, 8, 8, 9, 8, 9, 18.
d) obtain the standard deviation of the above set of numbers.
e) describe Sampling with replacement and sampling without replacement.
f) A coin is tossed 4 times. What is the probability of obtaining 2 or
more heads.
g) What is the formula of mean and variance for a binomial distribution.
h) Write Poisson's distribution and its mean.
i) describe Regression.
j) Using an improper subscript notation, write the regression equations
of X3 on X1, X2 & X4.
k) Determine which characteristic movement of a time series you will mainly
associate with
(i) an era of prosperity.
(ii) an after Easter sale in a departmental store.
l) describe seasonal index and name the methods for computing seasonal
index.
m) What is formula for Laspeyre's Price Index?
n) describe the term price relative.
o) What is a pattern in relation to time- series analysis?
part - B
(9 × five = 45)
Q2) Complete the subsequent frequency distribution :
Variable 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency 12 30 ? 65 ? 25 18
provided that total frequency is 229 and median is 46. obtain the missing
frequencies.
Q3) The subsequent table indicates the marks found by 100 candidates in an
examination. compute the mean & standard deviation.
Marks 1-10 11-20 21-30 31-40 41-50 51-60
No. of Candidates three 16 26 31 16 8
Q4) obtain the semi-interquartile range for the height distribution of the students at
XYZ university provided in the table.
Height (in) 60-62 63-65 66-68 69-71 72-74
No.of Students five 18 42 27 8
Q5) A population consists of the 5 numbers 2, 3, 6, eight & 11. Consider all
possible samples of size two that can be drawn without replacement from this
population. obtain
(a) the mean of the population.
(b) the standard deviation of the population.
(c) the mean of the sampling distribution of means,
(d) the standard deviation of the sampling distribution of means.
Q6) There are 3 bags: 1st containing one white, two red, three green balls; 2nd 2
white, three red, one green ball, and 3rd three white, one red, two green balls. 2 balls
are drawn at random. These are obtained to be 1 white and 1 red. obtain
the probability that the balls so drawn came from the 2nd bag.
Q7) In a sample of 1000 cases, the mean of certain test is 14 and standard
deviation is 2.5. Assuming the distribution to be normal, obtain.
(a) how many students score ranging from 12 and 15.
(b) how many score above 18?
(c) how many score beneath 8?
(d) how many score 16?
Q8) The 2 regression equations of the variables x & y are x = 19.13 ? 0.87y
and y =11.64 ? 0.50x. obtain mean of x?s, mean of y?s and the correlation
co-efficient ranging from x and y.
Q9) Write short notes on
(a) Partial Correlation.
(b) Co-efficient of Multiple Correlation.
Q10) Classify 4 main kinds of characteristic movements of time series and
explain in brief.
Q11) explain few ways in which a pattern can be estimated.
Q12) The subsequent table indicates the number of murders (in thousands) in US for
the years 1985 ? 1995. Construct a four year moving avg..
Year 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995
Murders 19.0 20.6 20.1 20.7 21.5 23.4 24.7 23.8 24.5 23.3 21.6
(in thou.)
Q13) explain Statistical elimination of cyclical factors of time series in brief.

Earning:   Approval pending.