Inter (Part-II) Bahawalpur Board 2014
Statistics
Part II (Objective Type)
Time Allowed: 20 Minutes 
Max. Marks: 17

Note: You have four choices for each objective type question as A, B, C and D. The choice which you think is correct; 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.

Question #1
Circle the correct option i.e. A/B/C/D. Each part carries one mark.

• The total area under the Normal Curve is:

(A). Equal to One
(B). Less than One
(C). More than One
(D). Between Zero and One

• The Quartile Deviation of Normal Distribution is :

(A). 4/5
(B). 4/5
(C). 2/3
(D). 2/3

• The range of Normal Distribution i:s

(A) 0 to n
(B) 0 to ∞       
(C) 0 to K       
(D) -∞ to +∞

• The difference between Statistic and Parameter is called

(A) Standard Errors
(B) Sampling Errors
(C) Sampling Frame
(D) Sampling Design 

• Sampling based on equal probatilty is Called:

(A) Probability Sampling
(B) Systematic Sampling
(C) Simple Random Sampling
(D) Cluster Samplig

• In Sampling with replacement Standard Error of Sample Proportion (p) is equal to

(A) pq / n
(B) p + q / n
(C)
(D)

• If the expectation of an Estimation is equal to the parameter, the estimator is said to Be

(A) Biased
(B) Unbiased
(C) Positively Biased
(D) Negatively Biased

• Degrees of Freedom for Paired Observations using t-test is:

(A) n
(B) (n-1)
(C) n-2
(D) n/2

• The level of Confidence is equal to

(A) ά
(B) ß
(C) 1- ά
(D) 1 – ß

• Estimation of the value of Dependent Variable on the basis of Independent Variable is Called 

(A) Regression
(B) Correlation
(C) Residual
(D) Slope

• If the value of any Regression Coefficient is zero, then variables are:

(A) Qualitative
(B) Correlated
(C) Dependent
(D) Independent

• If rxy = 0.75, then ruv is equal to :

(A) 0
(B) 0.75
(C) -0.75
(D) 1

• If (AB) = (A)(B) / n then attributes A and B are:

(A) Correlated 
(B) Quantitative
(C) Independent
(D) Dependent

• The Mutated of Coefficient of Association lies between :

(A) -1 and +1 
(B) 0 and 1     
(C) -1 and 0    
(D) 0 and 0.5

• The unsystematic sequence which follows irregular pattem of vatiation is called        

(A) Noise       
(B) Signal       
(C) linear        
(D) Non-linear

• A better fitted trend is for which Σ(y-y)2 is:      

(A) Maximum
(B) Minimum
(C) Positive
(D) Negative

• Drag and Drop Is a term associated with :         

(A) Printer      
(B) Scanner    
(C) Key Board
(D) Mouse

Inter (Part-II) Bahawalpur Board 2014
Statistics
Part II(Subjective)
Time Allowed: 2.10 Hours 
Max. Marks: 83 

Section I

Q.2. Attempt any eight parts.

• What is the relation between Mean, Median and Mode in a Normal Distribution,
• The Mean of Normal Distrubution  is 4, what will be the value of Mode?
• Write down the equation of the Normal Curve with Mean µ and S.D ỽ.
• Write down the Confidence Interval for µ when ά is known
• Define the Normal Frequency Distribution.
• Define Type II Error.
• What Is Two Tail Test?
• Write any two assumptions of t-test.
• Differentiate between Estimator and Estimate.
• What is Ram?
• Write down different types of Computer.
• Write down the importance or Normal Distribution.

Q.3. Attempt any eight parts.  

• Describe the term Population.
• Define Sampling.
• What is meant by Bias?
• Elaborate Sampling Frame          
• Express the term Statistics
• Find δẍ if δ2 = 2.25 & n = 4
• Describe the term Dependent Variable
• Express two properties of Regression Line
• What is meant by Intercept
• Interpret the meaning of r = 0
• What is meant by Correlation Coefficient?
• Write any two formulae of Correlation Coefficient

Q.4. Attempt any six parts.    

• What is meant by Positive Association?
• Write down the formula of Coefficient of Contingency
• What is meant by Dichotomy?
• What is Multiplicative Model?
• What is Business Cycle?
• Name the methods to find Secular Trend
• Give two merits of Moving Average
• What is Noise
• What are the causes of Irregular Variations

Section-II

Question #5
(a) If x ~ N (0,1), find Maximum Ordinate in Numerical From upto two decimal places.
(b) Find Ordinates of Standard Normal Curve at Z = -1.2 and Z = 2.1 which of these two ordinates is higher or greater why?

Question #6
(a) Draw all possible sample of size 2 without replacement from a population consisting of 3,6,9,12,15. Form the Sampling Distribution of sample Means and verify that µẍ = µ
(b) If sample of n = 200 observations are to be chosen from a large population N = 2500 in Distribution of proportions when Sampling is done
(i) With Replacement
(ii) Without Replacement

Question #7
(a) Find a 95% Confidence Interval for Mean of Population if a sample of 25 values gave a Mean of 83 have ỽ = 7
(b) Given n1 = 9, n2 = 16, ẍ1 = 60, ẍ2 = 50, Σ(x - ẍ1)2 = 960 and Σ(x2 - ẍ2)2 = 1020. Find Sp

Question #8 (a) Given

Fit the line y = a + bx by Least Squares Method.
(b) Find Correlation Coefficient for the data in Q.No.8(a).

Question #9
(a) The ranks of the same 4 students in two subject A and B werw as follows: (4,3), (2,4), (1,2), (3,1). Two number within brackets denoted the ranks of the students in A and B respectively. Calculate and interpret the Spearman’s Rank Correlation Coefficient.
(b) If the Linear Trend in the data for the years 1998 to 2003 (both inclusive) with origin at the middle of 2000 and 2001 and unit of measurement for x begin one year is y = 40.5 + 5.0x. Determine the trend line by shifting the origin to the year 1998 and hence determine the Trend Values.

Attempt any three Parts Section-III ( Practical Part )

Question #10

(a) A population consists of values 4, 6, 8, 10. Make all possible samples of size 2 with replacement. Find Sampling Distribution of Sample Means. Find its Mean.

(b) Given the following values.

Calculate the value of

(c) Find the Reg. Eq. of Y on X from the following data

(d) Test the Association between Attributes A and B using ά = 0.01

(e) Calculate 5-Days Moving Averages from the following Time Series.