Statistical Officer Past Papers SPSC MCQs

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Statistical Officer past papers SPSC MCQs for statistics test preparation in Sindh Public Service Commission test paper.

Statistical Officer Past Papers SPSC MCQs

The first census in Pakistan was held in?
  1. 1948
  2. 1951
  3. 1953
  4. 1957
Which of the following is the correct statement regarding the coefficient of correlation?
  1. It depends on the scale of measurement
  2. It depends on the origin of the measurement
  3. It is independent of both the scale and origin
  4. It depends on either the scale or origin
What happens to the sample distribution as the sample size increases according to the Central Limit Theorem (CLT)?
  1. The sample distribution becomes less normal
  2. The sample distribution remains unchanged
  3. The sample distribution becomes more normal
  4. The sample distribution becomes skewed
What is the probability of getting at least 3 tails when tossing 3 fair coins?
  1. 1/2
  2. 3/4
  3. 7/8
  4. 1/8
What is the difference between a sample statistic and the population parameter?
  1. Measurement error
  2. Sampling error
  3. Standard error
  4. Systematic error
What is the degree of freedom of the variance in the Chi-Square distribution?
  1. k
  2. 2k
  3. k-1
  4. 2k-1
Which measure is suitable for calculating the average speed?
  1. Arithmetic Mean
  2. Geometric Mean
  3. Harmonic Mean
  4. Median
What is the term for the probability of “rejecting the null hypothesis when it is true”?
  1. Type I error
  2. Type II error
  3. Power
  4. Significance level
What is the sum of deviations from the regression line?
  1. Positive
  2. Negative
  3. Zero
  4. Varies
Geometric random variable P(X = n) =(1-p)^(n-1) p, holds?
  1. Independent trails and n = 0, 1, 2, 3,……
  2. Independent trails and n = 1, 2, 3,…..
  3. Dependent trails and n = 0, 1, 2, 3…..
  4. Dependent trails and n = 1, 2, 3,…..
How does the Rao-Blackwell theorem ensure that the Rao-Blackwell estimator (RB estimator) is the Minimum Variance Unbiased Estimator (MVUE)?
  1. By maximizing the likelihood function
  2. By minimizing the sample variance
  3. By using complete and sufficient statistics
  4. By increasing the sample size
Which of the following is NOT a basic principle of experimental design?
  1. Randomization
  2. Confounding
  3. Replication
  4. None
What is the variance of a Poisson distribution with mean “m”?
  1. m^2
  2. √m
  3. m
  4. None
When the number of unknowns exceeds the number of equations, which method of estimation is typically used?
  1. Least Squares Estimation
  2. Maximum Likelihood Estimation
  3. Method of Moments
  4. Bayesian Estimation
If the mean (m) of a Poisson distribution is 1, then the probability of P(1) is?
  1. 1/e
  2. e
  3. 1/2
  4. None
What does the Cramér-Rao inequality provide for the variance of an estimator T?
  1. Upper bound
  2. Lower bound
  3. Exact value
  4. Confidence interval
How many types of errors may occur when rejecting the true null hypothesis?
  1. One
  2. Two
  3. Three
  4. None
What is the probability of Ali having exactly 2 face cards when drawing 5 cards from a deck of 52 cards?
  1. 0.2509
  2. 0.1516
  3. 0.1056
  4. 0.0385
A production company is in the state of?
  1. Boom
  2. Recovery
  3. Recession
  4. Depression
The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals?
  1. 8
  2. 10
  3. 6400
  4. 4096
Two mutually exclusive events are?
  1. Dependent
  2. Independent
  3. Overlapped
  4. None
What is the probability that a randomly selected family from the 400 families owns the house if 300 of them own houses?
  1. 0.75
  2. 0.50
  3. 0.25
  4. 0.60

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