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?**

- 1948
**1951**- 1953
- 1957

**Which of the following is the correct statement regarding the coefficient of correlation?**

- It depends on the scale of measurement
- It depends on the origin of the measurement
**It is independent of both the scale and origin**- 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)?**

- The sample distribution becomes less normal
- The sample distribution remains unchanged
**The sample distribution becomes more normal**- The sample distribution becomes skewed

**What is the probability of getting at least 3 tails when tossing 3 fair coins?**

- 1/2
- 3/4
**7/8**- 1/8

**What is the difference between a sample statistic and the population parameter?**

- Measurement error
**Sampling error**- Standard error
- Systematic error

**What is the degree of freedom of the variance in the Chi-Square distribution?**

- k
**2k**- k-1
- 2k-1

**Which measure is suitable for calculating the average speed?**

- Arithmetic Mean
**Geometric Mean**- Harmonic Mean
- Median

**What is the term for the probability of “rejecting the null hypothesis when it is true”?**

**Type I error**- Type II error
- Power
- Significance level

**What is the sum of deviations from the regression line?**

- Positive
- Negative
**Zero**- Varies

**Geometric random variable P(X = n) =(1-p)^(n-1) p, holds?**

**Independent trails and n = 0, 1, 2, 3,……**- Independent trails and n = 1, 2, 3,…..
- Dependent trails and n = 0, 1, 2, 3…..
- 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)?**

- By maximizing the likelihood function
- By minimizing the sample variance
**By using complete and sufficient statistics**- By increasing the sample size

**Which of the following is NOT a basic principle of experimental design?**

- Randomization
**Confounding**- Replication
- None

**What is the variance of a Poisson distribution with mean “m”?**

- m^2
- √m
**m**- None

**When the number of unknowns exceeds the number of equations, which method of estimation is typically used?**

**Least Squares Estimation**- Maximum Likelihood Estimation
- Method of Moments
- Bayesian Estimation

**If the mean (m) of a Poisson distribution is 1, then the probability of P(1) is?**

**1/e**- e
- 1/2
- None

**What does the Cramér-Rao inequality provide for the variance of an estimator T?**

- Upper bound
**Lower bound**- Exact value
- Confidence interval

**How many types of errors may occur when rejecting the true null hypothesis?**

- One
**Two**- Three
- None

**What is the probability of Ali having exactly 2 face cards when drawing 5 cards from a deck of 52 cards?**

**0.2509**- 0.1516
- 0.1056
- 0.0385

**A production company is in the state of?**

**Boom**- Recovery
- Recession
- Depression

**The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals?**

- 8
- 10
- 6400
**4096**

**Two mutually exclusive events are?**

- Dependent
- Independent
**Overlapped**- None

**What is the probability that a randomly selected family from the 400 families owns the house if 300 of them own houses?**

**0.75**- 0.50
- 0.25
- 0.60

Also Read: SPSC Past Papers