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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
M.Com.DEGREE EXAMINATION -COMMERCE
FIRST SEMESTER APRIL 2018
CO 1812- ADVANCED BUSINESS STATISTICS
Date: 25-04-2018 Dept. No. Max. 100 Marks
Time: 09:00-12:00
Part-A Answer ALL questions. (10 x 2 marks)
(Use the enclosed Table: 'Healing Lifeline Survey Data' to answer Qs. 1 and,
Identify an interval and a nominal variable.(1 mark); What is the for
the variable (1mark)
Calculate the mean value for the variable 'P7Sleep' for values ABOVE 50
years. marks)
When should data be transformed?
What is 'kurtosis'?
Explain 'Control Charts'.
What is a normal distribution?
Identify two benefits of a 'Pie Diagram'.
Explain 'Poisson Distribution'.
Mention any two utilities of a '1-tailed test'.
Can β error be avoided?
Part-B Answer any FOUR questions. x 10 40 marks)
(Use the enclosed Table: ''Healing Lifeline Survey Data' to answer Qs. 11 and, 16)
(11)Develop an interval variable combining B2Excrcs, B3Nosmok,& B4Homefd, variables. Code and label it, appropriately marks). Calculate its Variance marks). Prepare a frequency table for the variables, 'B1Healif' 'B3Nosmok' and interpret. marks)-PLEASE CHECK DATA TABLE AT THE END.
12) The number of PAVEMENTS in a few Corporation Wards, were selected at random, to check their USAGE Pattern by the locals and citizenry. The Usage Pattern of
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PAVEMENTS adjacent to Prominent Streets Across THREE Corporation Wards, in Chennai, are shown below. Test the hypothesis (level of significance of 0.05) that the USAGE PATTERN of Pavements is independent of CORPORATION WARDs Category.
PAVEMENT USAGE PATTERN
CORPORATION WARD CATEGORY A B C
Storing
66
65
35 Commercial 68 49 38
Parking
32
66
73 Waste Area 51 53 76
(13)Answer the following:
The chance of winning a competition is 65%. If 30 countries of 5 athletes each, take part in the competition, in how many countries, 4 or more athletes will win?
A refrigerator contains 3 apples and 4 oranges. Four members in a family C in order takes one fruit each, and does not replace it. The family member who takes an apple gets a gift of Rs. 500. Determine the expectations.
(14)The average Veg. Biryanis (packed weight), in a restaurant was 500 gms., with a standard deviation of 100 gms. A random sample of 64 veg. Biriyani Packets were drawn from the restaurant. What is the probability that the arithmetic mean of the sample exceeds 425 gms? Interpret the result. Find the value of sample arithmetic mean within which the middle 95% of all sample means will fall.
(15)Help the Class Teacher in a Chennai School by using the Sign Test to check for
improvement in Student Performance, 'before' a new Remedial Learning
Program was announced two weeks back.
Before
36
35
26
18
38
42
30
22
45 After 48 87 77 56 82 40 65 53 80
(16)What is the correlation between 'C1HEALHA' and (CHECK the
HEALING LIFELINE SURVEY TABLE, AT THE END)
OR
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Using the attached table on 'HEALING LIFELINE SURVEY Suggest any model of
relationships? Identify any two research propositions you would consider as relevant
to the study. Identify clearly the Dependent and independent variables in your
model. Report the explained variance, unexplained variance and the R2 value.
Explain the difference between 'Validity and Reliability' using illustrations?
Explain Charts' and 'Six Sigma'.
Part-C Answer any TWO questions. x 20 40 marks)
18.The following are the health scores of three groups of politicians exposed to three types of food patterns and culture, i.e. South Indian, Thai, and Moroccan. S.Indian
68
148
183
121
Thai 80 135 137 110 96 180 73 Moroccan
92
109
105
173
129
Using the H-test, 0.05 and 0.01 sig. levels, test the H0, that the three food patterns have equal impact on health.
19. Perform a Two-way ANOVA using the following information. EMPLOYEE CATEGORY SKILL ACQUISITION LEVEL A
100
110
100
90 B 120 140 130 130 C
100
120
100
120
Transform the above data by subtracting from each of the values. table values 0.05 3,6 4.76; 2,6 5.14; 1,6 5.99
20. In an accounting department of a bank 138 accounts are selected at random and
examined for errors. Suppose the following results have been obtained: No. of Errors 0 1 2 3 4 5 6 Freq. of.Errors
75
50
6
3
2
1
1
4
On the basis of this information can it be concluded that the errors are distributed according to the Poisson probability law? (For v chi-square at 0.05
21. Calculate seasonal indices by the Ratio to Moving Average method.
Year
I Quarter
II Quarter
III Quarter
IV Quarter 2013 52 72 36 60 2014 54 56 59 46 2015 72 51 62 88 2016 86 77 61 52 2017 66 73 68 89
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