Sunday, 4 October 2015

Test No. 1 to 4 B.Sc. II Paper No. VI ( Statistical Methods)



Test No. 1          B.Sc. II  Tot. Marks: 25

Q:1 Choose the correct alternative.                                                                            (5)
1. The long term regular movement in a time series is called as ………
a) seasonal variation b) cyclical variations c) secular trend d) irregular variations
2. Periodic change in values of time series is ………
a) seasonal variation b) cyclical variations c) both a and b d) irregular variations
3. If all four components of time series operate independently then we use -----
a) additive model  b) multiplicative model  c) exponential model  d) none of these
4. The variation in the production due to strike in a company is ....…
a) seasonal variation b) cyclical variations c) secular trend d) irregular variations
5. To which component of time series the term recession is attached?
a) trend b) seasonal c) cyclical d) random variation
Q:2 Attempt any two                                                                                                  (5+5)
1. Describe the moving average method for determining trend.
2. What is secular trend? Describe the method of least squares to determine secular trend.
3. What is time series analysis? Explain its utility/ need / importance.
4. Discuss the simple average method for measuring seasonal variation.
Q:3 Attempt any one                                                                                                    (10)
1. Define time series. State the components of time series. Explain any one of them.
2. What are the different models for time series? Describe them.

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Test No. 2         B.Sc. II                           Tot. Marks: 25

Q:1 Choose the correct alternative.                                                                                         (5)
1. Index numbers measure the average -----  
a) relative changes b)  absolute changes c)  percentage increase  d) proportionate changes
2. Base year of index number is ------ 
 a)  any convenient year   b) preceding year    c) year of stability  d)  succeeding year    
3. If  Laspeyre`s index number is  120 and  Paasche `s index number is 130 then Fisher’s index number is ----
 a) (120 x130)0.5      b) 125     c)  120        d) can not be determined
4. The index number for base year is -----       
 a) 0       b) 100    c)   1   d) can not be determined    
5.  The best average in the construction of  index number is   ----                                                                   
a)  A.M.     b) G.M.    c) H.M.      d) none of these
Q:2 Attempt any two                                                                                                              (5+5)
1. Write a short note on weighted price index number.
2. Distinguish between Laspeyre’s   and  Paasche’s  index numbers.
3. Define consumer price index number and explain its construction by family budget method.
4. Explain i) Purchasing power of money ii) Base shifting
Q:3 Attempt any one                                                                                                                  (10)
1. Define time reversal and factor reversal test for index numbers and show that Fisher’s ideal index        number satisfies both these tests.
2. Define index number. Discuss the various problems involved in the construction of index numbers.
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Test No. 3             B.Sc. II                 Tot. Marks: 25

 Q:1 Choose the correct alternative.                                                                                        (5)
1. Chance variation in the manufactured product is ………
a) uncontrollable   b) controllable  c) both a and b  d) none of these
2. Negligence of an operator causes the ……… variation in the production process.
a) chance variation b) assignable variations c) both a and b d) none of these
3. A production process is said to be in a state of statistical control if it is governed by  -----
a) chance causes   b) assignable causes     c) both a and b     d) none of these
4. The variance of the fraction defectives is obtained by the variance of ....… distribution
a) Poisson     b) Binomial   c)  Normal    d) none of these
5. The process standard deviation is estimated by  ………
a)       b) R   c)       d)   
Q:2 Attempt any two                                                                                                               (5+5)
1. Explain chance and assignable causes of variation.
2. What is Shewhart’s control chart? Explain its construction.
3. What is S.Q.C.? State its utility/ need / importance.
4. Explain process control  and product control OR Write a note on quality..
Q:3 Attempt any one                                                                                                                (10)
1. Explain the construction of mean & range chart when standards are not given.
2. Explain construction & statistical basis of p and c charts.

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Test No. 4         B.Sc. II               Tot. Marks: 25

Q:1 Choose the correct alternative.                                                                                           (5)
1. S.T.D.R. of standard population is ………
a)   C.B.R.        b) I.M.R.     c)   C.D.R.  d) none of these 
2. If N.R.R. < 1, then population is ………
a)  increases        b)  remains as  it  is     c)  doubles   d)  decreases 
3. The collection of information (data) about each & every individual of a country is known as  -----
a) sample survey    b) demography    c) census   d) population studies
4. Specific death rate may be calculated according to  ....…
a) age         b) sex     c) region or locality   d) none of these
5. Population for intercensal year (t) is calculated as  ………
a) Pt  = P0 + (B-D)+ (I-E)  b) Pt  = (B-D)+ (I-E)  c) Pt  = P0 + (B-D)* (I-E)  d) Pt  = P0 + (B-D)- (I-E) 
Q:2 Attempt any two                                                                                                                (5+5)
1. What is demography?  State the uses of vital statistics.  
2. Define vital statistics? What are the methods of obtaining vital statistics.
3. Explain G.F.R. & T.F.R.
4. Define age S.F.R. and infant mortality rate.
Q:3 Attempt any one                                                                                                                 (10)
1. Explain STDR by direct and indirect method of standardization.
2. Define a) C.D.R.  b) S.D.R.  c)  G.R.R.  d)  N.R.R.
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