Code: 14E00105
MBA I Semester Supplementary Examinations June/July 2018
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BUSINESS STATISTICS
(For students admitted in 2014, 2015 & 2016 only)
Time: 3 hours Max. Marks: 60
SECTION -A
(Answer the following: (05 X 10 = 50 Marks)
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(Statistical tables is permitted in the examination hall)
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The number of accidents in a highway between Nellore and Chennai on 20 days are:
1, 0, 4, 2, 3, 5, 6, 8, 5, 6, 8, 5, 6, 9, 5, 7, 10, 5, 7 and 11.
Fit the mean, median, mode, Q1, P10. Which measure of central tendency can be applied?
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OR
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In a coaching centre, three students Alice, Arun and Anil scored the following marks in 5 tests before the final examination.
Alice : 88 92 91 79 89
Arun: 90 92 88 92 87
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Anil : 90 89 93 79 88
Which student is most consistent?
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The director of a business school has a suspicion that the students coming later answer better since they were able to anticipate the questions based on their discussion with their friends who attended interview before them. The scores of 15 candidates in a day is given below.
Candidate number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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Score 65 65 60 50 60 65 68 71 72 76 74 77 80 82 81 70
Test whether there is correlation between the order in which the students appear for interview and their mark.
OR
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The following table provides data on the time spent in watching a cricket match before the exam and the exam marks on the next day.
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Time in minutes 50 70 20 50 80 0 30 60 70 30 10
Exam mark 76 65 82 68 61 92 73 58 74 77 85
Find the regression time of exam score on time spent. Also find the exam mark for 25 minutes of time spent in watching cricket.
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Cricket, Hockey and Football are played in a city. 40% play cricket, 32% play hockey and 28% play football. 16% play both cricket and hockey. 10% play both cricket and football. 8% play both hockey and football while 4% play all the three. Find the following probabilities:
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- A person plays at least one of the three.
- Plays only football.
- Plays either cricket or football.
OR
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(a) List the properties of a binomial distribution.
(b) It is found that 40% of students who availed education loan do not repay. In a random sample of 10 students who got education loan, find the probability that: (i) Three students do not repay. (ii) None of them repay the loan.
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The average cost of a two bedroom flat in anantapur is found to be 35 lakhs. However, a recent sample of 10 flats had a mean of 39 lakhs with a standard deviation of 5 lakhs. Test whether the average cost of two bed room flat has increased recently in anantapur at significance level of 0.05.
OR
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When the Finance Minister of India said that Indian Economy will be sluggish at least for 6 months, 65% of 200 stocks declined in NSE and 70% of 300 stocks declined in BSE. Test whether the proportion of declining stocks is more in BSE than in NSE at a significance level of 0.05.
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A company wants to test whether the preference by customers for its product and the income level of customers are independent. The company surveyed 200 persons and arrived at the following table.
Purchase Behavior
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Income group
0-20000 20000-40000 >40000
Frequent 30 20 20
Occasional 60 10 10
No purchase 10 30 10
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Test whether the preference for the product and income level are independent at a significance level of 0.05.
OR
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The problem solving ability of students is found to improve after getting MBA degree. The problem solving ability of 10 students (1-low and 5-high) are noted before and after getting MBA degree.
Before 5 4 5 3 2 3 5 3 4 3
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After 4 5 4 4 1 5 5 4 5 5
Test whether there is any improvement in the problem solving ability of students due to MBA degree. Take a = 0.05.
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SECTION -B
(Compulsory question, 01 X 10 = 10 Marks)
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Case Study:
A company is trying three different training methods to its new employees for enabling them to get familiarized with the company environment and learn the ways the various departments of the company are working. It collected the data regarding the time taken by employees to complete the training methods.
Method 1 Method 2 Method 3
16 23 19
19 28 25
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20 19 20
23 22 17
12 18 16
Test whether the three methods are equally effective at a significance level of 0.05.
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