Statistics MCQs

Option A: Poisson dist

Option B: Standard dist

Option C: Normal dist

Option D: Hyper-geometric distribution

Correct Answer: Normal dist ✔

Option A: Become more positively skewed

Option B: Become more negatively skewed

Option C: Become symmetrical

Option D: All of the above.

Correct Answer: Become more positively skewed ✔

Option A: 6

Option B: 1

Option C: 2/5

Option D: None of these

Correct Answer: 6 ✔

Option A: Probability remains constant for all the trials.

Option B: Probability changes from trial to trial

Option C: Successive trial are dependent

Option D: Both (b) & (c) but not (a)

Correct Answer: Both (b) & (c) but not (a) ✔

Option A: P > q

Option B: P = 1/2

Option C: Probability of success & probability of failure are equal

Option D: Both (b) & (c) but not (a)

Correct Answer: Both (b) & (c) but not (a) ✔

Option A: X

Option B: n x p

Option C: n(1 – 1)

Option D: ∑fx/∑f

Correct Answer: n x p ✔

Option A: {nx}px qn-x

Option B: {nx}px(1 – P)x-n

Option C: nCxpnqnx

Option D: {nx}p(1 – P)x

Correct Answer: {nx}px qn-x ✔

Option A: 14th century

Option B: 12th century

Option C: 10th century

Option D: 17th century

Correct Answer: 17th century ✔

Option A: n, q

Option B: n, p, q

Option C: q, p

Option D: n, p

Correct Answer: n, p ✔

Option A: Times

Option B: Fixed

Option C: Expansion

Option D: Trial

Correct Answer: Fixed ✔

Option A: 60

Option B: 30

Option C: 20

Option D: 40

Correct Answer: 40 ✔

Option A: 1 to n

Option B: 0 to n

Option C: 1 to ∞

Option D: 0 to ∞

Correct Answer: 0 to n ✔

Option A: Variance > mean

Option B: Mean < variance

Option C: Variance ≠ mean

Option D: None of these

Correct Answer: Mean < variance ✔

Option A: None

Option B: Symmetrical

Option C: Skewed

Option D: Equal

Correct Answer: Skewed ✔

Option A: 6 pq

Option B: npq

Option C: 7 pq

Option D: 3 pq

Correct Answer: 7 pq ✔

Option A: p > q

Option B: P = q

Option C: p < q

Option D: P/q

Correct Answer: p < q ✔

Option A: n; fixed number of times

Option B: a large number times

Option C: n; where n < 0

Option D: n = 100

Correct Answer: n; fixed number of times ✔

Option A: Dependent

Option B: Independent

Option C: Linear

Option D: Equal

Correct Answer: Independent ✔

Option A: Unequal

Option B: Equal

Option C: Symmetrical

Option D: None

Correct Answer: Equal ✔

Option A: Pq

Option B: nP

Option C: xm

Option D: Non of these

Correct Answer: nP ✔

Option A: Equal to variance

Option B: Less than variance

Option C: Greater than varince

Option D: None of these

Correct Answer: Greater than varince ✔

Option A: P

Option B: q

Option C: P

Option D: 1 -P

Correct Answer: P ✔

Option A: n

Option B: x

Option C: q

Option D: 1 – P

Correct Answer: q ✔

Option A: 4

Option B: 3

Option C: 2

Option D: 6

Correct Answer: 2 ✔

Option A: Dependent

Option B: Independent

Option C: Equally Likely

Option D: Mutually exclusive

Correct Answer: Independent ✔

Option A: P(X=7) is

Option B: One

Option C: Less than zero

Option D: Zero

Correct Answer: Less than zero ✔

Option A: 10

Option B: 12

Option C: 2.1

Option D: 21

Correct Answer: 2.1 ✔

Option A: q

Option B: p

Option C: 0

Option D: 1

Correct Answer: p ✔

Option A: p= 0.5

Option B: P 0.5

Option C: p = 1

Option D: None of these

Correct Answer: p= 0.5 ✔

Option A: p=0

Option B: p>1/2

Option C: p=1/2

Option D: p=1/3

Correct Answer: p>1/2 ✔

Option A: Three

Option B: Two

Option C: One

Option D: Four

Correct Answer: Two ✔

Option A: Less than mean

Option B: Equal to mean

Option C: Greater than mean

Option D: Equal to standard deviation

Correct Answer: Less than mean ✔

Option A: p = q

Option B: p > q

Option C: p > q

Option D: np > npq

Correct Answer: p = q ✔

Option A: Hpergeometric distribution

Option B: Binomial distribution

Option C: Geometric distribution

Option D: None of these

Correct Answer: Binomial distribution ✔

Option A: Only 2 possible outcomes

Option B: Have constant probability

Option C: Must have at least 3 trials

Option D: Trials must be independent

Correct Answer: Must have at least 3 trials ✔

Option A: n = 10, p = 6/10

Option B: n = 50, p = 6/50

Option C: n = 10, p = 3/5

Option D: n = 10, p = 2/5

Correct Answer: n = 10, p = 3/5 ✔

Option A: 60

Option B: 12

Option C: 4.8

Option D: 0

Correct Answer: 4.8 ✔

Option A: Less than mean

Option B: Greater than mean

Option C: Equal to mean

Option D: Less than equal to mean

Correct Answer: Less than mean ✔

Option A: n p

Option B: np (1 – p)

Option C: np/q

Option D: nq/p

Correct Answer: B. np (1 – p) ✔

Option A: 0

Option B: 2

Option C: 1

Option D: None of these

Correct Answer: 1 ✔

Option A: Positively skewed

Option B: Negative skewed

Option C: May be positive skewed or negative skewed.

Option D: None of these

Correct Answer: May be positive skewed or negative skewed. ✔

Option A: p > q

Option B: p < q

Option C: p = q

Option D: both (a) and (b

Correct Answer: p < q ✔

Option A: 5

Option B: 96

Option C: 5/96

Option D: 96/5

Correct Answer: 96 ✔

Option A: N.{nx}px qn-x

Option B: N p q

Option C: N.{n/x}px qn-x

Option D: N.{n/x}p qn-x

Correct Answer: N.{nx}px qn-x ✔

Option A: n must assume a number between 1 and 20 or 25

Option B: p must be a multiple of 10

Option C: There must be at least 3 possible outcomes

Option D: None of these

Correct Answer: None of these ✔

Option A: p < q

Option B: q/p

Option C: p > q

Option D: p > 1/2

Correct Answer: p < q ✔

Option A: Constant Probability of Success

Option B: Only two possible outcomes

Option C: A fixed number of trials

Option D: Equally likely outcomes

Correct Answer: Equally likely outcomes ✔

Option A: Variance > mean

Option B: Mean < variance

Option C: Variance ≠ mean

Option D: None of these

Correct Answer: Mean < variance ✔

Option A: Unequal

Option B: Wrong

Option C: Fair

Option D: None of these

Correct Answer: Wrong ✔

Option A: nP

Option B: nq

Option C: p

Option D: n

Correct Answer: n ✔

Option A: Large

Option B: Small

Option C: Zero

Option D: Normal

Correct Answer: Large ✔

Option A: 1/q

Option B: 1

Option C: q

Option D: 2q

Correct Answer: q ✔

Option A: With replacement

Option B: With out replacement from an infinite population

Option C: With out replacement from a finite population

Option D: With replacement from a finite population

Correct Answer: With out replacement from a finite population ✔

Option A: Failure

Option B: Experiment

Option C: Success

Option D: Out come

Correct Answer: Success ✔

Option A: Random variable

Option B: Binomial random variable

Option C: Continuous random variable

Option D: Both (b) and (c) but not (a)

Correct Answer: Binomial random variable ✔

Option A: Dependent

Option B: Independent

Option C: May be inependent or dependent

Option D: None of these

Correct Answer: Independent ✔

Option A: Dependent

Option B: independent

Option C: Related

Option D: constant

Correct Answer: independent ✔

Option A: Success

Option B: Failure

Option C: Success or Failure

Option D: None of these

Correct Answer: Success ✔

Option A: 6

Option B: 3

Option C: 2

Option D: 0

Correct Answer: 0 ✔

Option A: Constant

Option B: Varies

Option C: Four

Option D: Probability

Correct Answer: Constant ✔

Option A: Posterior Bay’s estimator

Option B: Minimax estimator

Option C: Bay’s estimator

Option D: Sufficient estimator

Correct Answer: A. Posterior Bay’s estimator ✔

Option A: Kruskal Wallis Test

Option B: Mann-Whitney U test

Option C: Wilcoxon signed rank test

Option D: Sign test

Correct Answer: Mann-Whitney U test ✔

Option A: Sign test

Option B: None of these

Option C: Runs test

Option D: D Mann-Whitney U test

Correct Answer: Runs test ✔

Option A: The Mann-Whitney test

Option B: The Kruskal-Wallis test

Option C: The Wilcoxon Signed Rank test

Option D: The Kolmogorove-Simirnor test

Correct Answer: The Kolmogorove-Simirnor test ✔

Option A: Sign test

Option B: Wilcoxon Signed Rank

Option C: Kruskal-Wallis

Option D: Runs test

Correct Answer: Sign test ✔

Option A: Any number of populations

Option B: A sample mean to the population mean

Option C: Two populations

Option D: Three populations

Correct Answer: Two populations ✔

Option A: Kolmogorov-Smirnor test

Option B: Wilcoxon Rank-Sum test

Option C: Spearman Rank Correlation test

Option D: Kruskal-Wallis test

Correct Answer: Kruskal-Wallis test ✔

Option A: The Wilcoxon Rank-Sum test

Option B: The Sign test

Option C: None of the above

Option D: Either of the above

Correct Answer: Either of the above ✔

Option A: There is an unusually large number of runs

Option B: There is an unusually small number of runs

Option C: None of these

Option D: Either of the above

Correct Answer: Either of the above ✔

Option A: The sampling distribution of the statistics assuming Null Hypothesis

Option B: calculations based on many actual repetitions of the same Experiment

Option C: The sampling distribution of the statistic assuming Alternative Hypothesis.

Option D: Non of these

Correct Answer: The sampling distribution of the statistic assuming Alternative Hypothesis. ✔

Option A: 0.025

Option B: 0.95

Option C: 0.05

Option D: Cannot be determined without more information

Correct Answer: Cannot be determined without more information ✔

Option A: n > 30

Option B: N(1 – p) > 5

Option C: 2 n 5

Option D: N < 30

Correct Answer: n > 30 ✔

Option A: Standard Error of the Means

Option B: The t-ratio

Option C: Degrees of Freedom

Option D: All Above

Correct Answer: All Above ✔

Option A: Estimate

Option B: Test Statistics

Option C: Estimation

Option D: Sample

Correct Answer: Estimate ✔

Option A: Variances

Option B: Proportions

Option C: Only two parameters

Option D: Means

Correct Answer: Variances ✔

Option A: Unpredictable

Option B: A correct Decision

Option C: Type-II Error

Option D: Type-Error

Correct Answer: Type-II Error ✔

Option A: Constant

Option B: Variable

Option C: All of above

Option D: Non of these

Correct Answer: Constant ✔

Option A: Acceptance Region

Option B: Type-I error

Option C: Type-II Error

Option D: Rejection Region

Correct Answer: Acceptance Region ✔

Option A: β

Option B: α

Option C: (1 – α )

Option D: (1 – β)

Correct Answer: β ✔

Option A: Critical value

Option B: Confidence limits

Option C: Confidence boundaries

Option D: None of these

Correct Answer: Critical value ✔

Option A: 1 – ∞

Option B: β

Option C: ∞

Option D: 1 – β

Correct Answer: ∞ ✔

Option A: 652 and . 728

Option B: .314 and .652

Option C: .798 and .745

Option D: None of these

Correct Answer: 652 and . 728 ✔

A. u = 20
B. u ≠ 20
C. u 20

Correct Answer: u = 20 ✔

Option A: ux – x2

Option B: u1 – u2

Option C: 6x – x2

Option D: 6×2 – x2

Correct Answer: B. u1 – u2 ✔

Option A: x±1.65 6/√n

Option B: u±1.95 S/√n

Option C: x±1.96 6/√n

Option D: ±1.96 6/√n

Correct Answer: x±1.96 6/√n ✔

Option A: 6/√n

Option B: S/√n

Option C: S2/n

Option D: 6x/√n

Correct Answer: S2/n ✔

Option A: Population

Option B: Biased

Option C: Unbiased

Option D: Increase

Correct Answer: Unbiased ✔

Option A: C.I.

Option B: Point estimator

Option C: Parameter

Option D: Point estimate

Correct Answer: Point estimate ✔

Option A: (U)

Option B: 6

Option C: Ux

Option D: 6/√n

Correct Answer: (U) ✔

Option A: E(S2) = s2

Option B: E(u) = X

Option C: E(P) = P

Option D: Ux = u

Correct Answer: E(P) = P ✔

Option A: Biased

Option B: Parameter

Option C: Unbiased

Option D: None of these

Correct Answer: Unbiased ✔

Option A: E(x) = µ

Option B: E(Q) =Q

Option C: E(Q) =Q

Option D: E(P) = P

Correct Answer: E(Q) =Q ✔

Option A: Posterior Bay’s estimator

Option B: Minimax estimator

Option C: Bay’s estimator

Option D: Sufficient estimator

Correct Answer: A. Posterior Bay’s estimator ✔

Option A: Unbiased

Option B: Consistent

Option C: Sufficient

Option D: Efficient

Correct Answer: Unbiased ✔

Option A: Efficient

Option B: Sufficient

Option C: Unbiased

Option D: Consistent

Correct Answer: Efficient ✔

Option A: Consistent estimator

Option B: Admissible estimator

Option C: Sufficient estimator

Option D: Minimax estimator

Correct Answer: Admissible estimator ✔

Option A: Among all other test of size α or less it has the largest power

Option B: Among all other test of size α or greater it has the largest 1 – α

Option C: Among all other test of size α or greater it has the smallest power

Option D: Among all other test of size α or greater it has the largest β

Correct Answer: Among all other test of size α or less it has the largest power ✔

Option A: Unbiased

Option B: Sufficient

Option C: Consistent

Option D: Efficient

Correct Answer: Sufficient ✔

Option A: It is a function of some other set of sufficient statistics.

Option B: It is a function of every other set of sufficient

Option C: It is a function of any sufficient statistics in the set.

Option D: It is not a function of every other set of sufficient statistics.

Correct Answer: It is a function of every other set of sufficient ✔

Option A: MSE(θˆ)=SD(θˆ)+Bias

Option B: MSE(θˆ)=Var(θˆ)+Bias2

Option C: MSE(θˆ)=SD(θˆ)+Bias2

Option D: MSE(θˆ)=Var(θˆ)+Bias

Correct Answer: MSE(θˆ)=Var(θˆ)+Bias2 ✔