# Multiple Choice Questions on Statistics

**Multiple Choice Questions on Statistics **

**1-If three letters are to be put in
three addressed envelopes randomly, the probability that none of the letters
are in the correct envelope is : **

(a) 0

(b) 1/6

(c) 1/3

(d) ½

**2-For which of the following
distributions mean and variance are equal?
**

(a) Normal Distribution

(b) Poisson Distribution

(c) Binomial Distribution

(d) Negative Binomial Distribution

**3-A coin is tossed five times in
succession. What is the probability of getting at least four heads? **

(a) 1/4

(b) 3/4

(c) 1/16

(d) 3/16

**4-Sampling error can be reduced by **

(a) Non-probability sampling

(b) Increasing the population size

(c) Decreasing the sample size

(d) Increasing the sample size

**5-Neymann Pearson lemma provides
always **

(a) an unbiased test

(b) a most powerful test

(c) an admissible test

(d) a minimax test

**6-If there is linear trend present in
the population, then which of the following methods is the most efficient
sampling technique? **

(a) Cluster sampling

(b) Systematic sampling

(c) Stratified sampling

(d) Simple random sampling

**7-When the population consists of
heterogeneity, which sampling procedure is preferred? **

(a) Stratified Random Sampling

(b) Simple Random Sampling

(c) Systematic Sampling

(d) Double Sampling

**8-Which of the following sampling
technique is preferred when population units are numbered and arranged in order? **

(a) Simple Random Sampling

(b) Stratified Sampling

(c) Systematic Sampling

(d) Sequential Sampling

**9-Which of the following is not a basic
principle of experimental design? **

(a) Randomization

(b) Confounding

(c) Local control

(d) Replication

**10-The Wishart distribution is a
multivariate generalization of **

(a) Normal distribution

(b) t-distribution

(c) Chi-square distribution

(d) F-distribution

**11-The range of a regression coefficient
is **

(a) – ∞ to + ∞

(b) 0 to + 1

(c) – 1 to + 1

(d) 0 to + ∞

**12-The regression coefficient is
independent of the change of **

(a) Scale only

(b) Origin only

(c) Both scale and origin

(d) Neither scale nor origin

**13-The distribution of Hotelling’s T-square
is : **

(a) Chi-square

(b) Normal

(c) F

(d) Student’s t

**14-The distribution of test statistic
used in sign test is **

(a) Normal

(b) Poisson

(c) Gamma

(d) Binomial

**15-The distribution of test statistic
used in median test is **

(a) Binomial

(b) Normal

(c) t – test

(d) Chi – square

**16-The non-parametric equivalent of one
way analysis of variance is : **

(a) Friedman test

(b) Kruskal Wallis test

(c) Cochran test

(d) Chi-square test

**ANSWERS:**

**1-(c), 2-(b), 3-(c), 4-(d), 5-(b), 6-(b),
7-(a), 8-(c), 9-(b), 10-(c), 11-(c), 12-(b), 13-(c), 14-(d), 15-(d), 16-(b)**