Veer Narmad South Gujarat University 2011-2nd Sem Master in Human Resources Development Management SB-4526 Applied Statistics M.H.R.D ( ) (Part - 1) ( Reg.) - Question Paper
SB-4526
M. H. R. D. (Part - I) (Sem. II) (Reg.) Examination
March / April - 2011
Applied Statistics
[Total Marks : 70
Time : 3 Hours]
Instructions
""'N Seat No.:
6silq<3i Puunkiufl [qaim SuwiA u* qsq d-onql. Fillup strictly the details of signs on your answer book.
Name of the Examination :
M. H. R. D. (PART -1) (SEM. 2) (REG.)
Name of the Subject:
APPLIED STATISTICS
-Section No. (1,2,.....): NIL
-Subject Code No.
(2) All questions are compulsory.
(3) State your options clearly.
(4) Figures to the right indicate full marks.
(5) Use of simple calculator is allowed.
1 (a) Fill in the blanks : 6
(i) When outliers are present in the data then to find average we use _.
(ii) If the dependent variable in the series decreases as the independent variable increases, the relationship is _.
(iii) When the population is non-normal then we use _test.
(b) Answer the following questions : 8
(i) If the value of byx is -0.04 and bxy is -1.6 then find the value of correlation coefficients.
(ii) For binomial distribution mean = 12 and variance is 4 then find the value of n and p.
(iii) Find the mode of 2,2,5,7,2,7,8,10
(iv) The price of a commodity doubles in a period of 5 years. What will be the average rate of increase per annum ?
SB-4526] 1 [Contd...
2 (a) Explain the meaning and limitations of statistics. 7
(b) Compute price index and quantity index number for 7 the year 2010 with 2005 as base year using
(i) Laspeyres method
(ii) Passches method
|
Commodities |
Quantity |
in Units |
Value |
in Rs. |
|
2005 |
2010 |
2005 |
2010 | |
|
A |
100 |
150 |
500 |
900 |
|
B |
80 |
100 |
320 |
500 |
|
C |
60 |
72 |
150 |
360 |
|
D |
30 |
33 |
360 |
297 |
2 (a) Explain the important functions of statistics and 7
discuss the factors in construction of index number.
person and the general price index number for the period 2001 to 2007. Prepare index number to show the changes in the real income of the person :
Year 2001 2002 2003 2004 2005 2006 2007
Annual Income
in Rs. 80,000 81,900 82,500 87,600 92,000 93,800 92,400
Price index
number 100 105 110 120 125 140 140
3 (a) What are the measures of dispersions ? 2
workshops, but at different rate of wages as follows :
Types Workshop A Workshop B
of Rate of wages No. of Rate of wages No. of
| ||||||||||||||||||||||||||||||||||||||||
|
In which of the two workshops, is the average rate of wages per worker higher and by how much ? (c) Answer the questions by using the statistical measures 6 given below. The data relate to production in three factories : |
|
F actory |
A |
B |
C |
|
Mean |
800 |
780 |
830 |
|
Median |
800 |
790 |
810 |
|
S.D. |
30 |
40 |
60 |
|
Quartile Deviation |
16 |
30 |
40 |
(i) In which factory, the production is more variable ?
(ii) What is the production ranges of factories for the middle half of the period ?
3 (a) Explain the difference between mean and median by 2
examples.
(b) A non government organization decided to give 6 pension to the senior citizens (age 60 and above 60). The scales of pension were find as follows :
Age Group : 60-65 65-70 70-75 75-80 80-85 85 & above Rs Per month: 400 500 600 700 800 1000 The ages of the 30 persons who secured the pension are given below :
62, 65, 68, 72, 75, 77, 82, 85, 90, 78, 75, 61, 60, 68, 72, 72, 78, 79, 80, 82, 68, 75, 94, 98, 73, 77, 68, 65, 71, 89 Calculate the monthly average pension payable and the standard deviation..
(c) From the prices of the shares A and B below, state 6 which is stable in value :
A : 110 108 104 106 112 116 104 100 102 98 B : 216 214 210 210 212 214 208 206 208 202
4 (a) Explain the difference between correlation and 2
regression in brief.
(b) An examination of 8 applicants for clerical post was 6 taken by a firm from the marks obtained by the applicants in the written exam and personal interview.
Find the most likely marks in personal interview when marks in written exam are 30. Also find correlation coefficient.
Marks in 25 28 35 32 31 36 29 38 34 32
written exam :
Marks in personal
interview : 43 46 49 41 36 32 31 30 33 39
(c) Fit the straight line to the given data and estimate 6 the production for the year 2010.
Year : 2005 2006 2007 2008 2009
Production : 40 50 62 58 60
4 (a) What are the factors of time-series ? 2
(b) Following table gives the information about the number 6 of years of car been used and maintenance. Estimate maintenance for car which used for 3 years. Also find the correlation coefficient between number of years and maintenance :
No. of years 2 4 6 7 8 10 12 Maintenance 1600 1500 1800 1900 1700 2100 2000 SB-4526] 3 [Contd...
(c) Fit the parabola for the following data. Also estimate 6 sales for the year 2004 :
Year : 1999 2000 2001 2002 2003 Sales : 7 9 10 7 5
5 (a) Define type of errors. 2
(b) The probability that in certain correspondence course 6 student will graduate is 0.4. Determine the probability that out of 5 students (a) none (b) one and (c) atleast
one will be graduate.
(c) On launching the AIDS programme, the WHO selected 6 a sample of 120 respondents from Delhi, 110 from Chennai, 140 from Hyderabad and 160 from Bangalore.
On examining each sample, the nubers of those knowing and not knowing the new programme were found as under. Do the data significantly differ in terms of knowing and not knowing in your cities ? Use %1-test; Knowing Not knowing
Delhi 40 80
Chennai 60 50
Hyderabad 80 60
Bangalore 90 70
OR
5 (a) Give assumptions of Analysis of Variance (ANOVA) 2
(b) An MHRD and MBA applicant appear in an interview 6 for two vacancies in the same academic institute. The probability of MHRD student's selection is 1/7 and that
of MBA student's is 45. What is the probability that
(i) Both of them will be selected
(ii) Only one of them will be selected
(iii) None of them will be selected
(c) Two laboratories carry out independent estimates 6 of fat content for ice-cream made by a certain firm.
A sample is taken from each batch and sent to the two laboratories. They obtain the following results. Do the estimate of mean about ice-cream fat in Lab. A and Lab.
B differ significantly ?
|
Batch : |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
Lab. A : |
7 |
8 |
7 |
3 |
8 |
6 |
9 |
4 |
7 |
8 |
|
Lab. B : |
9 |
8 |
8 |
4 |
7 |
7 |
9 |
6 |
6 |
6 |
SB-4526] 4 [ 200 ]
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Attachment: |
| Earning: Approval pending. |
