QP Code
1
6
0
0
9
5
Register Number
VELALAR COLLEGE OF ENGINEERING AND TECHNOLOGY
(An Autonomous Institution, Affiliated to Anna University, Chennai)
Semester Examinations April May 2017
Regulations-2016
Programme:
MBA
Semester:
1
Max. Marks:
100
Duration
3 Hrs
Course Code Title:
16MST12
STATISTICS FOR MANAGEMENT
(Statistical Table needed)
Knowledge Levels
K1 Remembering
K3 Applying
K5 Evaluating
K2 Understanding
K4 Analyzing
K6 Creating
Part A Answer ALL Questions. 10 x 2 20 Marks
No.
Question
KL
1.
Find the median and mode for the weights of 15 persons given as 68, 85, 70, 65, 71, 67, 65, 55, 80, 62, 65, 64, 70, 60, 56.
K3
2.
Define mutually exclusive events.
K1
3.
State the level of significance in testing of hypothesis.
K1
4.
Define stratified sampling technique.
K1
5.
Distinguish between one-way and two-way analysis of variance.
K2
6.
Define Null Hypothesis and Alternative Hypothesis with examples.
K1
7.
Mention the advantages of Nonparametric Tests.
K2
8.
List out the uses of Chi-Square distribution.
K1
9.
Distinguish between correlation and regression.
K2
10.
Name any three forecasting methods used in time series analysis.
K1
Part B Answer ALL Questions. 5 x 13 65 Marks
No
Question
Marks
KL
11.
a
i.
Compute median for
Class
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
F
5
8
14
16
35
28
16
8
7
K3
ii.
A sample of charge accounts at a local drug store revealed the following frequency distribution of unpaid balances.
Unpaid balance
10-29
30-49
50-69
70-89
90-109
Frequency
1
6
9
11
13
Determine the mean unpaid balance.
6
K3
OR
b
i.
Box A contains 4 White and 6 Red and 2 Black balls. Another box contains 5 White and 3 Red and 2 Black balls. A box is selected at random and Two balls are drawn from that box and found to be 1 Red and 1 Black ball. What is the probability that the Two balls come from box A.
7
K4
ii.
In the production of electric bulbs, the quality specification of their life was found to normally distribute with average life of 2100 hours and standard deviation of 80 hours. In a sample of 1500 bulbs, find out the expected number of bulbs likely to burn for more than 2200 hours and less than 1950 hours.
6
K4
12.
a
There are 5000 students in a University. The average age of all the students is 24 years with standard deviation of 8 years. A random sample of 50 students is selected. Determine the standard error of the mean. What is the probability that the sample mean will be larger than 22.5 years What is the probability that the sample mean will be between 25 and 28.5 years.
13
K5
OR
b
The consumption of Tea in a State follows normal distribution with unknown mean and standard deviation 1.55 kgs. In a sample of 35 households the average consumption of tea for one year was found to be 6.5kgs. Test if the average consumption of tea per year in the whole state could be 6.8kgs. How large a sample must be taken in order to be 98% certain that the sample mean is within 1.2 kgs of the population mean.
13
K5
13.
a
i.
The following sample was drawn from a normal population.
45 60 55 58 42 35 60 65 55 40
Test at level of significance if the population mean could be 50.
7
K5
ii.
The weights of 8 persons are found to be 60, 65, 70, 68, 62, 63, 60, and 66 kgs. The weights of another group of 12 persons are found to be 70, 60, 58, 56, 50, 48, 52, 56, 52, 50, 54, and 50. Can we conclude that both samples have come from populations with same variances?
6
K5
OR
b
Apply one way ANOVA technique with respect to representative and write your comment regarding the sales(in Rs. Lacs)
Area
Representatives
1
2
3
4
A
12
16
20
18
B
15
10
12
16
C
10
08
16
15
13
K3
14.
a
The scores of a written examination of 24 students, who were trained by using three different methods, are given below.
Video cassetteA
74
88
82
93
55
70
65
Audio cassetteB
78
80
65
57
89
85
78
70
Class Room C
68
83
50
91
84
77
94
81
92
Use Kruskal-Wallis test at α level of significance, whether the three methods of training yield the same results.
13
K5
OR
b
In a study of sedimentary rocks, the following data were obtained from samples of 32 grains from two kinds of sand
Sand I
63
17
35
49
18
43
12
20
47
"
136
51
45
84
32
40
44
25
Sand II
113
54
96
26
39
88
92
53
101
"
48
89
107
111
58
62
Apply Mann-Whitney U test with suitable null and alternative hypotheses.
13
K3
15.
a
The revenue generated at a business unit and is given below. Fit the trend line using least squares method and estimate the revenue for the year 2013.
Year
2005
2006
2007
2008
2009
2010
2011
2012
Revenue
(Rs. 00)
268
209
390
290
280
450
350
455
13
K6
OR
b
Find the seasonal variations by ratio-to-trend method from the data given below.
Year
Quarter I
Quarter II
Quarter III
Quarter IV
2007
30
40
36
34
2008
34
52
50
44
2009
40
58
54
48
2010
54
76
68
62
2011
80
92
56
82
13
Part-C 1 x 15 15 Marks
16
a
A clothing manufacturer purchased some newly designed. sewing machines in the hopes that production would be increased. the production records of random sample of workers are shown below.
Worker
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Old machine
28
36
27
25
38
36
40
29
32
28
20
32
32
32
36
New machine
36
40
25
32
30
32
40
28
35
33
26
31
23
34
36
Use the sign test to determine whether the new machine have significantly increased production. use 0.05 LOS
15
OR
b
A tea company appoint four salesmen C and D and observes their sales in three seasons summer, winter and monsoon. The figures (in lakhs) are given in the following table:
Seasons
Salesmen
A
B
C
D
Summer
36
36
21
35
Winter
28
29
31
32
Monsoon
26
28
29
29
Carry out an analysis of variance and test whether there is any significant difference in the salesmen and in the seasons at 10% LOS.
15