Multan 2014
TIME ALLOWED: 20 Minutes
OBJECTIVE
MAXIMUM MARKS: 17
Note: You have four choices for each objective type question as A. B. C and D. The choice which you think is Corral, fill that circle in front of that question number. Use marker or pen to fill the circles. Cutting or filling two or more circles will result in zero mark in that question. Attempt as many questions as given in objective type question paper and leave others blank. No credit will be awarded in me BUBBLES are not filled. Do not solve question on this sheet of OBJECTIVE PAPER.

Question#1

• The complete list of all the sampling units is called:-
  
  (A) Sampling Frame
  (B) Sample Design
  (C) Sampled Population 
  (D) Target Population
  
  
• A sample which is free from bias is called.
  
  (A) Biased
  (B) Unbiased 
  (C) Purposive
  (D) None of these
  
  
• In sampling without replacement:-
  
  (A) n< N
  (B) n > N
  (C) ∞
  (D) None of these
  
  
• The width of a confidence interval is decreased if (1 - α) is:-
  
  (A) Decreased
  (B) Increased
  (C) Equal
  (D) Unchanged
  
  
• A specific value calculated by using the sample data is called:-
  
  (A) Estimator
  (B) Estimate
  (C) Estimation
  (D) Bias
  
  
• Power of the test is denoted by:-
  
  (A) α
  (B) β
  (C) 1-α
  (D) 1 - β
  
  
• In regression the independent variable is assumed to be:-
  
  (A) Fixed 
  (B) Random
  (C) Constant
  (D) Zero
  
  
• When the regression line passes through origin then ietersept is:-
  
  (A) Zero 
  (B) Negative
  (C) Positive
  (D) One
  
  
• If rxy = 0.6, bxy = 1.2 then byx =______
  
  (A) 0.30
  (B) 0.20
  (C) 0.72
  (D) 0.16
  
  
• The coefficient of association always lies between:-
  
  (A) 0 and + I
  (B) - 1 and + I 
  (C) - ∞ and+ ∞ 
  (D) ∞ and - ∞
                                                                                         
  
• A characteristic which varies in quality is railed:-
  
  (A) Variable
  (B) Statistic
  (C) Attributes
  (D) Parameter
  
  
• There are_________main components of a time series.
  
  (A) On
  (B) Two 
  (C) Three
  (D) Four
  
  
• In fitting a  straight line to the time series sum of residuals is:-
  
  (A) Least
  (B) Zero
  (C) Most 
  (D) Positive
  
  
• A decimal number system has base:-
  
  (A) 2
  (B) 8 
  (C) 10
  (D) 16
  
  
• The shape of normal distribution is:-
  
  (A) Lento &urge
  (B) Platy Kurtic
  (C)Meso Kurtic                        
  (D) Skewed
  
  
• In a normal distribution μ3 is always:-
  
  (A) Zero
  (B) One 
  (C) Two
  (D) Three
  
  
• Ina normal distribution the fourth central moment is:-
  
  (A) σ² 
  (B)  σ⁴
  (C) 3σ⁴
  (D) 3μ

INTERMEDIATE. PART-II
STATISTICS PAPER-II
TIME ALLOWED: 3.10 Hours
SUBJECIVE
NOTE: Write some question another and its part number in answer book, as given in the question paper.
SECTION-I

2. Attempt any eight parts. (8x 2 = 16)

• Find area under the normal curve between μ - σ and μ + σ.
  
• Find values of μ1, μ3 and μ3 for the normal distribution.
  
• How are Mean, Median and Mode of Normal Distribution related with one another?
  
• What is maximum ordinate of a standard Normal Distribution?           
  
• Find total area under the Normal Distribution Curve.
  
• Define Unbiasedness. Give one example.
  
• Define best Estimator. What is the best Estimator of population Mean?
  
• Define Pooled Estimate of population Mean.
  
• Discuss Acceptance and Rejection Region. 
  
• What are Critical Values? Where do they come from?
  
• What is the difference among Mini, Micro and Mainframe Computers?
  
• Discuss Hard ware and Software.

3. Attempt any eight parts. (8 x 2 = 16)

• Define Simple Random Sampling.
  
• What is Sampling Frame?
  
• What is Sample Survey?
  
• Define Sample Design.
  
• Differemiate between Parameter and Statistic.
  
• Write two advantages of Sampling.
  
• What a Simple Linear Regression?
  
• What is Scatter Diagram?
  
• Define Dependent Variable.
  
• What is Perfect Negative Correlation?
  
• What is coefficient of Correlation?
  
• Write the relationship between Regression Coefficients and Correlation Coefficients.

4. Attempt any six parts. (6 x 2 = 12)

• Express the term Negatively Associated.
  
• Define Coefficient of Association.
  
• Explain Independence of Attributes.
  
• Describe the Time Series.
  
• Elaborate Seasonal Variation.
  
• Write down the names of Components of Time series.
  
• What is meant by Historigram?
  
• Explain the principle of Least Square.
  
• Define the term Noise to Time Series.

SECTION-11

NOTE: Attempt any three questions
Question#5
(a) If the heights of 1000 soldiers in regiment arc normally distributed with mean of 172cm and S.D of 5cm, how many soldiers have height. Greater than 183cm. 4
(b) If X~N (0, 2 ), find P(X > 0 ) and P(0.2 <x <1.8)    

Question#6
(a) Find the mean of the variances of 10 samples of size 2 drawn without replacement from the population  X: 1, 2, 2, 6, 8.4
(b) A famil has 5 children with 3 boys (B) and 2girls (G) as given below:- 4

Find the proportion of boys and select all possible samples of size 3 children without replacement from this population. Make sampling distribution of sample proportion of boys in the sample verify that E(p)p (2)

Question#7
(a) A random sample of size n₁ = 120 from a population yielded the sample values .X1 = 509,= 950. A random sample of size n₂= 100 from another population yielded X2 = 447 and  = 876. Find 95% confidence Interval for μ₁- μ₂ .4
(b) A basketball player has hit on 60% of his shots from the floor. If on the next 100 shots he makes 70 baskets, would you say that his shooting has improved? Use α = 0.05.4

Question#8
(a) Compute regression coefficients if n=10, ∑(x-x)² =170,∑(y-y)² = 1,∑(x-x)(y-y)=92. 4
(b) For a set of 8 pairs of observations we have ∑x =144. ∑y = 60, Sx = Sy = 5 & ∑(x -x᷉ ) (y - y᷉) = 160 compute correlation coefficient 4

Question#9
(a) In an investigation into eye-colour and left or right handedness of a person, the following results were obtained:-

Do these results indicate, at the 5% level of significance? an association between eye colour and left or right handedness. 4
(b) Compute 4-months centred moving averages from the following:-

Section-lll
 (PRACTICAL)

10.NOTE: - Attempt any three Parts. (3 x 5 = 15)
(A) A population consist of values 4, 6, 8„ 10 make all possible samples of size 2 with replacement. Find sampling distribution of sample means and find its mean.
(B) Given the following values -

Calculate the value of ”t” statistic.
(C) Find regression equation of Y on X of the following data:-

(d) Test the association between attributes A and B using 5% level of significance.

 (e) Calculate 5 - days moving average for the following time series:-