INTERMEDIATE (12TH CLASS-2014)
STATISTICS PAPER –II
PART-II
TIME ALLOWED: 20
MARKS: 17
OBJECTIVE
Note: You have four choices for each objective type question us 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 mull 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 case
BUBBLES are not filled. Do not solve question on this sheet of OBJECTIVE PAPER.

Q.No.1

• If a hypothesis does not completely specify the values of all the parameters, then it is called:

(A) Composite hypothesis
(B) Null hypothesis
(C) Alternative hypothesis
(D) Simple hypothesis

• The dependent variable is also called:

(A) Regressor
(B) Regression
(C) Regresssand
(D) Scatterness

• The correlation  coefficient “y” is the geometric mean between:

(A) ( and)
(B) ( and  )
(C) (byx and bxy)
(D) ( and byx)

• The simple regression error fi is an estimate  of:

(A) Random error
(B) Statistics
(C) Popultaion error
(D) None of these

• Two attributes  are said to be negatively associated if A and B HAVE THE RELATION:

(A) (AB) -  –
(B) (AB)-  – >0
(C) (AB)-  – < 0
(D) (AB)-  – < 0

• The data will be inconsistent if any ultimate frequency turns out to be:

(A) Contrary
(B) Negative
(C) Positive
(D) None of these

• The additive model of time series can be wirrten as:

(A) Y=T.S.C.I
(B) Y=TS+CI
(C) Y=T+S+C+I
(D) Y=T+SC+I

• The graph of a time series is regarded as:

(A) Freehand curve
(B) Scatter diagram
(C) Histogram
(D) Historigram

• The number of instructions processed in one second of time is regarded as:

(A) Data of computer
(B) Ram of computer
(C) ROM of computer
(D) Speed of computer

• The semi –inter quartile range in the normal distribution is given by:

(A) 0.7979
(B) 0.329
(C) 0.314
(D) 0.6745

• The normal distribution is:

(A) Trimodal
(B) Bimodal
(C) Unimodal
(D) Multimodal

• The area of ,in abnormal distribution is given by:

(A) 40.45%
(B) 68.27%
(C) 99.73%
(D) 95.45%

• The parameters are the numerical values of:

(A) Population
(B) Sample
(C) Strata
(D) None of these

• The sampling error are positive if the parameter is:

(A) Over –estimated
(B) Not estimated
(C) Estimated
(D) Under estimated

• A population is said to be finite if it is consisting of:

(A) Fixed numbers
(B) Fifty numbers
(C) Zero to ten numbers
(D) None of these

• Level of Significance is denoted by:

(A) 3-
(B) 1+
(C) 1-
(D)  

• If the critical region is located only on the right side of the sampling distribution of test statistics, then the test is called

(A) One tailed
(B) Two tailed
(C) Three tailed
(D)None of these

INTERMEDIATE (12TH CLASS-2014)
STATISTICS
PART-II
TIME ALLOWED:2:40Hours
Marks:80
Subjective

NOTE: write same question number and its part number on answer book,as given in the question paper.

SECTION-I

2. Attempts any eight parts.            8x2=16

• What is standard normal distribution?
• Describe the importance of normal distribution?
• Find the ordinates of the Standard normal curve at Z=2.48 and Z=2.08.
• Find the inter Quartile Range for a Standard Normal Random Variable ‘z’.
• In a normal distribution lower and upper quartiles are 28 and 55 respectively?
• Find mean of the Normal Distribution?
• What do you mean by point estimation?
• What do you mean by Un-baised Estimatior? Give two names of such estimator.
• What is a Test-Statistics?
• Does? Why or Why not?
• What is computer software?
• What is Binary Number System? Why is it used in Computer?

3. Attempts any eight parts.                 8x2=16

• What is sample design?
• DEFINE Sampling?
• Enlist any two disadvantages of Sampling?
• Differentiate between sampling with replacement and without replacement.
• Given n=36,=50,  =5 .Find   
• What is meant by Probability sampling?
• Define Repressor?
• What are the  principle of Least Square?
• If  =2800, 2  = 3400 ,2  = 3200, Find and.
• What is meant by the Co-efficient of Correlation?
• Define Positive and Negative Correlation?
• If S 2x=16 Sxy =20 and =0.8 and find .

4. Attempts any six parts.                       6X2=12

• Define Secular Trend and Seasonal Variation.
• Define the principal of least squares.
• Two semi-averages for the time series 2005-2011 are 80and 40.Find all trend values.
• Give the names of different methods of measuring trend.
• Given  = 28,  and n=7 .Fit a linear trend.
• Differentiate between Signal and Noise.
• Given a=55,b=125, c=45 and d= 75.Find  chi-square .
• Given (A) =34000,(B) =6000,(AB) =5300 and n=70000.
• Whether attributes A and B are positively associated?
• Explain the CO-efficent of Association.

SECTION-II

NOTE: Attempt any three questions.

Q5.
(a) In a Normal distribution     
( b) In a normal distribution mean is 60 and SD=10. Find are I more than 75, II between 50&70

6
(a) Suppose that 65% population of a locality favour construction of proposed public park.
If 200 persons are to be selected at random and interviewed,what would be the mean and standard error of sample propotion favouring the issue?
(b) Two random samples each of size 2 are taken with replacement from two populations  given as under.
Population-I: 2 and 4
Population-II : 1 and 3
From a sampling distribution of() and show that  =-.

7.
(a) Compute  95%  confidence interval  from the population mean “” if  n=36   and
2  = 1296.
(b) The lives in hours of 6 bulbs were found to be 1260,1075,1150,1050,1240,1300.
Test the hypothesis that the mean life in the population of bulbs is 1200hours .Use

8.
(a) The following table shows the six pairs of observations of  and 

	2	6	8	9	11	12
	7	10	12	8	9	10

Find Y=a+bx and estimate the value of y when x=10.
(b) Given the following information:
N=10, 2  = 120,2  = 30,  =50
Show that  = .    4
9.
(a) :Test the association between the subject and results from the following table:

(b) Compute the trend values by:
(i) Semi –average method
(ii) 3-year moving average method
From the following time series: