Download JNTU Anantapur (Jawaharlal Nehru Technological University Anantapuramu) MBA R17 2019 January First Semester (1st Semester) Regular & Supplementary Examinations 14E00105 Statistics for Managers Question Paper.
MBA I Semester Supplementary Examinations December/January 2018/19
BUSINESS STATISTICS
(For students admitted in 2014 (LC), 2015 & 2016 only)
Time: 3 hours Max. Marks: 60
SECTION ? A
(Answer the following: (05 X 10 = 50 Marks)
*****
1 Enumerate the methods of measuring dispersion and state the characteristics of a good measure of
dispersion.
OR
2 The coefficient of variation of wages of male workers and female workers are 55% and 70%
respectively, while the standard deviations are 22.0 and 15.4 respectively. Calculate the overall
average wages of all workers given that 80% of the workers are male.
3 State the properties of Karl Pearson?s coefficient of correlation and explain how would you internet
the value of r with suitable example.
OR
4 Find the coefficient of correlation by Karl Pearson?s method from the following table.
X 6 2 10 4 8
Y 9 11 ? 8 7
Arithmetic means of X and Y are 6 and 8 respectively.
5 State the important characteristics and properties of binomial distribution. Under what conditions
can a binomial distribution be applied?
OR
6 The following table shows the distribution of number of faulty units produced in a single shift in a
factory. The data is for 400 shifts.
No. of faults 0 1 2 3 4
No. of shifts 138 161 69 27 5
Fit a Poisson distribution to the data.
7 In a large city A, 20% of the random sample of 1000 school children had defective eye sight. In
another large city B, 15% of a random sample of 2000 children had the same defect. Is this
difference between two proportions significant? Obtain 95% confidence limits for the difference in
the population proportions.
OR
8 Two random samples were drawn from two normal population and their values are:
A 66 67 75 76 82 84 88 90 92
B 64 66 74 78 82 85 87 92 93 95 97
Test whether the two population have the same variance at 5% level of significance.
(F = 4.30 at 5% level for v
1
= 10 and v
2
= 8)
Contd. in page 2
Page 1 of 2
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Code: 14E00105
MBA I Semester Supplementary Examinations December/January 2018/19
BUSINESS STATISTICS
(For students admitted in 2014 (LC), 2015 & 2016 only)
Time: 3 hours Max. Marks: 60
SECTION ? A
(Answer the following: (05 X 10 = 50 Marks)
*****
1 Enumerate the methods of measuring dispersion and state the characteristics of a good measure of
dispersion.
OR
2 The coefficient of variation of wages of male workers and female workers are 55% and 70%
respectively, while the standard deviations are 22.0 and 15.4 respectively. Calculate the overall
average wages of all workers given that 80% of the workers are male.
3 State the properties of Karl Pearson?s coefficient of correlation and explain how would you internet
the value of r with suitable example.
OR
4 Find the coefficient of correlation by Karl Pearson?s method from the following table.
X 6 2 10 4 8
Y 9 11 ? 8 7
Arithmetic means of X and Y are 6 and 8 respectively.
5 State the important characteristics and properties of binomial distribution. Under what conditions
can a binomial distribution be applied?
OR
6 The following table shows the distribution of number of faulty units produced in a single shift in a
factory. The data is for 400 shifts.
No. of faults 0 1 2 3 4
No. of shifts 138 161 69 27 5
Fit a Poisson distribution to the data.
7 In a large city A, 20% of the random sample of 1000 school children had defective eye sight. In
another large city B, 15% of a random sample of 2000 children had the same defect. Is this
difference between two proportions significant? Obtain 95% confidence limits for the difference in
the population proportions.
OR
8 Two random samples were drawn from two normal population and their values are:
A 66 67 75 76 82 84 88 90 92
B 64 66 74 78 82 85 87 92 93 95 97
Test whether the two population have the same variance at 5% level of significance.
(F = 4.30 at 5% level for v
1
= 10 and v
2
= 8)
Contd. in page 2
Page 1 of 2
Code: 14E00105
9 The number of car accidents in a city was found as 20, 17, 12, 6, 7, 15, 8, 5, 16 and 14 per month.
Use Chi-square test to check whether these frequencies are in agreement with the belief that
occurrence of accidents was the same during the 10 month period. Test at 5% level of significance.
OR
10 In a survey of 200 girls of which 40% were intelligent, 30% had uneducated fathers, while 20% of
the unintelligent girls had educated fathers. Do these figures support the hypothesis that educated
fathers have intelligent girls? Test at 5% level of significance. (Table value of = 3.84)
SECTION ? B
(Compulsory question, 01 X 10 = 10 Marks)
11 Case Study:
In a certain factory production can be accomplished by four different workers on 5 different types
of machines. A sample study, in context of a two-way design without repeated values, is being
made with two-fold objectives of examining whether the four workers differ from with respect to
mean productivity and whether the mean productivity is the same for the 5 different machines. The
researcher involved in this study reports while analyzing the data as under.
(i) Sum of squares for variance between machines = 35.2
(ii) Sum of squares for variance between work man = 53.8
(iii) Sum of square for total variance = 174.2
Set up ANOVA table for the given information and draw the inference about variances at 5% level
of significance (Table value F = 2.53)
*****
Page 2 of 2
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This post was last modified on 03 January 2020