Statistics 2012
Bahawalpur board Part II
Paper I
Objective type
Time allowed: 20 Minutes  
  Maximum Marks:17

Note: Write answer to the question on the objective answer sheet provided. Four possible answers A, B, c, D to each question which answer is correct, fill the relevant circle with pen ink to each question on the answer sheet provided

• CPU is an abbreviation of:

A. Computer programming unit
B. Conditional Programming Unit
C. Controlled processing Unit
D. Central processing Unit

• Random Events generate:

A. Trend
B. Seasonal Variation
C. Cyclical Variation
D. Irregular Variation

• Time Series has ……………. Components

A. Four
B. Three
C. Two
D.Seven

• ………..

A. < 
B. > 
C. =
D.

• The Degree of Freedom in test of independence is :

A. (r-1)
B. (c-1)
C. r×c
D. (r-1)(c-1)

• If  then r=……………

A. 0
B. 0.83
C. -0.87
D. 0.75

• If s decreases and  y increases in its value then r=……….

A. Positive
B. Negative
C.0
D.May be positive or Negative

• If x=0.6 and bxy=1.8 then bxy =?

A. =3
B. 5
C. 0.2
D. 0

• Pooled, Sample Variance is used as an estimator for:

A.
B.
C.
D.

• Probability of committing Type I error is indicated by

A.
B. (1-)
C.
D.

• A class or range of numerical values is obtained as an estimate of the parameter in case of:

A. Point Estimation
B. Interval Estimation
C. Testing of Hypothesis
D. Statistical Inference

• Complete Enumeration is sampling is called:

A. Census
B. Sample Survey
C. Pilot Survey
D. None of these

A. (
B.
C. (
D. None of these

• Statistics is a…………. measure:

A. Sample
B. Population
C. Census
D.Parameter

• All Odd order moments about Mean of a Normal Distribution are:

A. 0
B.
C.
D. 1

• If upper and lower quartiles of a Normal Distribution are 22 and 10 respectively then its Mean would be

A. 10
B. 22
C. 16
D. None of these

• The Normal Curve attains its maximum height at :

A. X=
B. X=0
C. X=+
D. X=

Subjective
Part II 2012

Note: It is compulsory to attempt (8) parts each from question No. 2 and 3 while attempt 6 parts from Q.no.4 and attempt any (03) questions from part II. Write same questions no. and its part no. as given in the question paper.

Section-I

Q.No.2

• In Normal Distribution and . What is the equation of Normal Curve?
• In Normal Distribution  and find Mean Deviation
• In Normal Distribution what are values of and
• Define a statistical Hypothesis.
• Define Null Hypothesis with example.
• Define Type-II Error with example.
• Define Level of significance.
• Define Test Statistics.
• What is computer?
• Define the term ‘Program’

Q.No.3

• Define the terms a Sample and a Population giving one example of each case.
• Distinguish between the target population and the sampled Population.
• Differentiate between Probability and Non Probability Sampling.
• Explain the term ‘Bias’
• Let N1=5, n1=2, N2=4, n2=2    . If the sampling is done without replacement then find the value of
• If  find  and E(S2) where
• Explain the term Regrassand and the Regressor
• What do you understand by Analysis of Time Series?
• From the fitted equation  find the value of estimated X for Y=1.2
• Let Syx=20.Sy=8.Sx=6 then find out the value of coefficient of correlation.
• Distinguish between Linear and Non linear Correlation
• What do you mean mean by -1 and +1 being the values of

Q.No.4

• Differentiate Between an attribute and a Variable .
• What do you understand by Dichotomy?
• For 5×3 contingency table write down the no. of d.f. and critical value of x2 at
• Find the equation for the straight line whose intercept is -3 and the slope is
• What are the components of Time Series?
• Define Noise.
• Explain the free Hand Drawing Method.
• What is meant by Cyclical Movements?
• Enlist two advantages of Movie average Method.

Section –II

Q.No.5
(a) For a certain Normal Distribution, the first moment about 10 is 40 and fourth moment about 50 is 48.Find its Mean and Standard Deviation.
(b) Given  and =100.Find Q1,Q3,Q.D and M.D. Of the Normal Distribution

Q.No.6
(a) A population consists of 1,2,5,6. Draw all possible samples of size 2 with replacement. Find the proportion of Even Numbers in the Samples. Construct the sampling Distribution of Even Numbers and show that E(=0.5
(b) A population consists of 5 numbers 3, 7, 11, 15 and 19.Take all possible samples of size two without replacement from this population. Show that =11 and =3.46

Q.No.7
(a) In a poll of 1200 voters selected at random from all the voters in a certain constituency it is found that 600 voters are in favor of a particular candidate. Test the hypothesis that the proportion of all the voters in the constituency who favor the candidate is at most 48%.Use5% level of significance.
(b) Given the following summary statistics.
n1=40, =90 , n2=50,=100,Construct 98% and 99% confidence Limits for

Q. No. 8
(a)The following information are given: =25 , Sx=5, Sy=6,  Predict the most probable value of Y when X=35 and most probable value of X when Y=52
(b)From the following Table compute the correlation coefficient.

Q.No.9
(a) Compute the value of chi-Square by using the formula from the following informations
Vaccinated                                  Not Vaccinated

(b) Find the trend for the Series by 3 years weighted Moving Average with weight1,2,1