2nd Year Statistics Past Papers

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• 1. Normal distribution have parameters: (A) three (B) four (C) two (Done
• 2- In standard normal distribution mean and variance respectively are: (A) 0&1 (B) 0&3  (C) 0&5  (D) 0&2
• 3- Mean and variance of a normal distribution are:  (A) n.np  (B) np. npq  (C) μ. σ2  (D) μ.α
• 4- Number of observations falling in a sample are called: (A) sample size (B) population size (C) sample frame (D) sample desigs
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• 5- If sampling is done with replacement then total number of possible samples are: (A) N^n  (B) N^Cn  (C) N^Pn  (D) Nn
• 6- Hp if sampling is done: (A) with replacement  (B) without replacement  (C) both A and B  (D) neither A nor B
• 7- Any hypothesis which is accepted when null hypothesis is rejected is called:  (A) simple (B) composite (C) alternative (D) statistical
• 8- Probability of rejecting H, when actually it is true is called:  (A) a error (B) B error (C) level of confidence  (D) level of significance
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• 9. The dependance of one variable to another variable is called: (A) interval estimation (B) point estimation (C) confidence interval (D) interval estimator
• 10. In estimation if we find single value then it is called: (A) regression (B) correlation (C) association (D) regressor
• 11. Correlation co-efficient always lies between: (A) -1 and +1  (B) 0 and 1  (C) -infinity to infinity (D) -3 and 3
• 12- Interdependance between two quantitative variables is called: (A) correlation (B) regression (C) association (D) estimation
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• 14. Chi-square test is not used if any expected frequency is less than:   (A) 10  (C) 5  (C) 3  (D) 15
• 15- The graph of time series is called:  (A) histogram  (B) historigram  (C) ogive  (D) pre-diagram
• 16- Damages due to floods, strikes and fires are: (A) irregular  (B) regular  (C) seasonal  (D) cyclical
• 17. Computers which are commonly used in offices are called___computers.  (A) super  (B) digital  (C) analog  (D) hybrid
• 2. Write short answers to any Eight questions:
• i- What are the values of two constants e and a in the equation of normal distribution?
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• ii- In normal distribution mean = 40, find median and mode. 
• iii- What is relation between binomial distribution and normal distribution?
• iv- Write the equation of normal distribution with mean 30 and SD-10.
• vi- Define biased estimator.
• v- If X is N(25, 25) find the value of maximum ordinate.
• vii- Define confidence limits.
• viii- Define level of significance.
• ix- Define region of acceptance.
• x- What is meant by critical region?
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• xi- Define hardware and software.
• xii- What is CPU?
• 3. Write short answers to any Fight questions:
• i- Write any two advantages of sampling.
• ii- What is the term bias in sampling?
• iii- Explain the term probability sampling.
• iv- Give πι 1 3,2 and 2=2=2. Find var (P-P)2
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• v- Find o if N-6, n=204. For sampling with and without replacement.
• vi- Write any two purposes of sampling.
• vii- Given byx-1.4 and bxy-0.87. Find (r).
• ix- Given n=15, S-7.933, Sy 16.627 (x-x)(y-y)=148 compute byx.
• viii- Give two properties of coefficient of correlation.
• x- Define independent variable in regression model.
• xi- Sketch scatter diagram indicating positive correlation.
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• xii- What is meant by residual (error) in regression model?
• 4. Write short answers to any SIX questions:
• i- Detine association of attributes.
• ii- What is Rank correlation?
• iii- What is ultimate class frequency?
• iv- What is order of the class?
• v- Determine whether two attributes are independent or associated N-1024. (A)144, (B)384, (AB) = 54
• vi- Define historigram.
• vii- What is meant by analysis of time series?
• viii- Define secular trend.
• ix- Give two examples of seasonal movements.
• 5- (a) In a normal distribution µ 20 and 0² = 16. Find two points containing the middle 90% area.
• (b) In a normal distribution lower and upper quartiles are 25 and 35. Find the probability that (i) P(X<19) (ii) P(X<35).
• 6. (a) If the mean and variance of a population are 20 and 4 respectively, What would be the mean and S.E(x) if the samples are drawn with replacement of size 5.
• (b) Draw all possible samples of size 3 without replacement from population i.c. 2, 4, 5, 7, 10. A Find the sample proportion (p) of prime numbers in each sample. Verify that
• 2 (i) μ = P and σα p Pq N-n n N-1
• 7-(a) Calculate 95% confidence interval for population mean. Given that 249, n-25, X-83
• (b) A basket ball player has hit on 80% of his shots from the floor. If on the next 100 shots he makes 70 baskets, would you say that his shooting has improved a = 5%
• 8- (a) Given the following information: 2 n=15, x=25 y = 18, Σ(x-x)² - 136, Σ(y-y)² - 138 3 Σ(x-x)(y-y) = 122
• Compute the regression line Y on X and estimate Y when X = 24
• (b) Compute the coefficient of correlation between X and Y for the information given in part (a)
• 9- (a) The following table gives the condition at home and condition of the children:
• Test for the association between the condition at home and condition of children.
• (b) Compute 3-years moving average from the data given below: