Statistics MCQs

Option A: Independence Equation

Option B: Sequential Probability Likelihood Equation

Option C: Neyman Pearson Lemma

Option D: Wald’s Equation

Correct Answer: Independence Equation ✔

Option A: Minimal sufficient statistic

Option B: Sufficient statistic

Option C: Efficient

Option D: Minimax statistics

Correct Answer: Minimal sufficient statistic ✔

Option A: Sufficient

Option B: Efficient

Option C: Unbiased

Option D: Consistent

Correct Answer: Consistent ✔

Option A: Consistent

Option B: Sufficient

Option C: Efficient

Option D: Unbiased

Correct Answer: Sufficient ✔

Option A: Kruskal-Wallis and Wilcoxon tests

Option B: Runs test

Option C: Chi-Square and sign test

Option D: F test

Correct Answer: Kruskal-Wallis and Wilcoxon tests ✔

Option A: Lower tailed

Option B: Upper tailed

Option C: Either of the above

Option D: None of the above

Correct Answer: Either of the above ✔

Option A: We count them

Option B: We discard them

Option C: We depends upon the scores

Option D: non of these

Correct Answer: We discard them ✔

Option A: Ties within one sample may affect the decision

Option B: Ties always affect the decision

Option C: Ties never affect the decision

Option D: Ties between the two sample may affect the decision

Correct Answer: Ties within one sample may affect the decision ✔

Option A: Data must be measured on the same scale

Option B: Data should be of ordinal scale at least

Option C: Data must be distribution at least approximately as a t-distribution

Option D: Data must be from two independent samples

Correct Answer: Data should be of ordinal scale at least ✔

Option A: Divided into at least two classifications

Option B: Divided into exactly two classifications

Option C: Quantitative

Option D: Qualitative

Correct Answer: Divided into exactly two classifications ✔

Option A: One way analysis of variance (ANOVA)

Option B: Spearman Rank difference

Option C: Wilcoxon Rank-Sum test

Option D: Kruskal-Wallis test

Correct Answer: Kruskal-Wallis test ✔

Option A: Samples are independent

Option B: Samples have same mean

Option C: Sample are dependent

Option D: The Wilcoxon Signed Rank test is used

Correct Answer: Sample are dependent ✔

Option A: Sample are dependent

Option B: The assumption of normality is not met

Option C: Sample sizes are small

Option D: Data are paired

Correct Answer: The assumption of normality is not met ✔

Option A: Greater the degree of freedom, the more the t-distribution resembles the standard normal distribution

Option B: The Normal Curve is symmetrical whereas the t-distribution are slightly skewed.

Option C: The proportion of area beyond a specific value of “t” is less than the proportion of normal curve

Option D: Non of these

Correct Answer: Greater the degree of freedom, the more the t-distribution resembles the standard normal distribution ✔

Option A: Symmetrical

Option B: None of these

Option C: Same as Normal Curve

Option D: Skewed

Correct Answer: Symmetrical ✔

Option A: The sample are drawn from a normally distributed population.

Option B: The variance of the population is known

Option C: All above

Option D: s (sample standard deviation) is an unbiased estimate of the population variance.

Correct Answer: The sample are drawn from a normally distributed population. ✔

Option A: Herbicide A is more effective than Herbicide B

Option B: Herbicide A is not more effective than Herbicide B

Option C: Herbicide B is more effective than Herbicide A

Option D: Herbicide B is not more effective than Herbicide A

Correct Answer: Herbicide B is not more effective than Herbicide A ✔

Option A: Standard Deviation

Option B: Mean

Option C: mean Square Error

Option D: Variance

Correct Answer: Variance ✔

Option A: Consistency

Option B: All Above

Option C: Unbiasedness

Option D: Efficiency

Correct Answer: All Above ✔

Option A: stating H1

Option B: stating Ho

Option C: L of significance

Option D: Test statistics

Correct Answer: stating Ho ✔

A. Q Qo
C. Q ≠ Qo
D. None of these

Correct Answer: Q ≠ Qo ✔

Option A: Q ≤ Qo

Option B: Q ≥ Qo

Option C: Q = Qo

Option D: Q ≠ Qo

Correct Answer: Q ≠ Qo ✔

Option A: Rejected when it is true

Option B: Rejected when it is false

Option C: Accepted when it is true

Option D: Accepted when it is false

Correct Answer: Accepted when it is false ✔

Option A: Composite hypothesis

Option B: Alternative hypothesis

Option C: Null hypothesis

Option D: Simple hypothesis

Correct Answer: Null hypothesis ✔

Option A: P±2.18√p2q2/n

Option B: P±1.65(pq/n)

Option C: P±1.96 p2q2/√n

Option D: P±1.96√p2q2/n

Correct Answer: P±1.96√p2q2/n ✔

Option A: Sampling

Option B: Probability distribution

Option C: Regression

Option D: Statistical Inference

Correct Answer: Statistical Inference ✔

Option A: Estimate

Option B: Estimator

Option C: Probability

Option D: Numerical

Correct Answer: Estimate ✔

Option A: Increase

Option B: Decrease

Option C: Sampling

Option D: Population

Correct Answer: Population ✔

Option A: Q

Option B: X

Option C: Ux

Option D: u

Correct Answer: u ✔

Option A: Point estimator

Option B: C.I.

Option C: Estimator

Option D: None of these

Correct Answer: Point estimator ✔

Option A: Normal because is always approximately normally distributed

Option B: Normal because the sample size is small in comparison to the population size

Option C: Normal because of the central limit theorem

Option D: None of these alternatives is correct.

Correct Answer: Normal because of the central limit theorem ✔

Option A: Standard error of statistics

Option B: Sampling error of statistics

Option C: Sampling distribution of statistics

Option D: None of these

Correct Answer: Standard error of statistics ✔

Option A: Sometimes normal for all sample sizes

Option B: Sometimes normal for large sample sizes

Option C: Always normal for all sample sizes

Option D: Always normal for large sample sizes

Correct Answer: Always normal for large sample sizes ✔

Option A: Probabilistic sampling

Option B: Stratified sampling

Option C: No probabilistic sampling

Option D: Cluster sampling

Correct Answer: No probabilistic sampling ✔

Option A: Random digit

Option B: Stratification

Option C: Random Sampling

Option D: Cluster

Correct Answer: Stratification ✔

Option A: 4

Option B: 8

Option C: 16

Option D: 32

Correct Answer: 16 ✔

Option A: Increases the Standard error

Option B: Decreases the Standard error

Option C: Decreases the Standard error

Option D: Both (a) and (b)

Correct Answer: Both (a) and (b) ✔

Option A: Increasing the sample size

Option B: Decreasing the sample size

Option C: Increasing population s.d.

Option D: None of these

Correct Answer: Increasing the sample size ✔

Option A: Only once

Option B: More than once

Option C: Less than once

Option D: None

Correct Answer: More than once ✔

Option A: Point

Option B: w.r.m

Option C: w.o.r

Option D: unit

Correct Answer: w.o.r ✔

Option A: Systematic

Option B: Cluster

Option C: Stratified

Option D: Judgment

Correct Answer: Judgment ✔

Option A: Biased sampling

Option B: Non-prob.sampling

Option C: Less than sampling

Option D: Representative sampling

Correct Answer: Non-prob.sampling ✔

Option A: A sample

Option B: A sample statistic

Option C: A population

Option D: A population parameter

Correct Answer: A sample ✔

Option A: Random sampling

Option B: Non-random sampling

Option C: Prob.Sampling

Option D: Sampling with replacement

Correct Answer: Non-random sampling ✔

Option A: Sampling

Option B: Parameter

Option C: Data

Option D: Sampling distribution

Correct Answer: Sampling ✔

Option A: Group

Option B: Finite

Option C: Un-finite

Option D: Correction

Correct Answer: Finite ✔

Option A: Sampling process

Option B: Sampling unit

Option C: Sampling

Option D: Size

Correct Answer: Sampling ✔

Option A: Non-random sampling

Option B: Increasing the population

Option C: Decreasing the sample size

Option D: Increasing the sample size

Correct Answer: Increasing the sample size ✔

Option A: Increasing the sample size

Option B: Reduced the amount of data

Option C: Decreasing the sample standard deviation

Option D: None of these

Correct Answer: Reduced the amount of data ✔

Option A: Population distribution is normal

Option B: μ1 = μx

Option C: Population distribution is uniform

Option D: σx = σx /√n

Correct Answer: Population distribution is normal ✔

Option A: Simple random sampling

Option B: Systematic sampling

Option C: Quota sampling

Option D: Census

Correct Answer: Census ✔

Option A: Destructive tests

Option B: Heterogeneous data

Option C: To make voters lists

Option D: None of these

Correct Answer: To make voters lists ✔

Option A: Same as the standard error of the mean

Option B: Difference between the value of the sample mean and the value of the population mean

Option C: Error caused by selecting a bad sample

Option D: Standard deviation multiplied by the sample size

Correct Answer: Difference between the value of the sample mean and the value of the population mean ✔

Option A: Sample

Option B: Data

Option C: Population

Option D: None

Correct Answer: Sample ✔

Option A: Approximately normal because is always approximately normally distributed

Option B: Approximately normal because the sample size is large in comparsion to the population size

Option C: Approximately normal because of the central limit theorem

Option D: Normal if the population is normally distributed

Correct Answer: Normal if the population is normally distributed ✔

Option A: Approximately normal because the sample size is small relative to the population size

Option B: Approximately normal because of the central limit theorem

Option C: Exactly

Option D: None of these alternatives is correct

Correct Answer: None of these alternatives is correct ✔

Option A: Bias

Option B: Standard

Option C: Sampling error

Option D: both (a) and (b)

Correct Answer: Sampling error ✔

Option A: 26/√n√N – n/N – 1

Option B: σ/√n√N – n/N – 1

Option C: 26/√n N – n/N – 1

Option D: 26/√n

Correct Answer: 26/√n ✔

Option A: Serious error

Option B: Dispersion

Option C: Standard error

Option D: Difference

Correct Answer: Standard error ✔

Option A: Unknown

Option B: Large

Option C: Small

Option D: Know

Correct Answer: Know ✔

Option A: Four

Option B: Six

Option C: Three

Option D: Seven

Correct Answer: Four ✔

Option A: Sampling frame

Option B: Sampling units

Option C: Sample pop

Option D: Sample design

Correct Answer: Sampling units ✔

Option A: Only Once

Option B: More than once

Option C: Less than once

Option D: None of these

Correct Answer: Only Once ✔

Option A: Only when the sample size is at least 100.

Option B: Only when the sample size is smaller than 30

Option C: Always

Option D: Only when the sample size is at least 30.

Correct Answer: Always ✔

Option A: Independent

Option B: Associated

Option C: Dis-associated

Option D: None of these

Correct Answer: Associated ✔

A. 3
B. (2)
C. 1
D

Correct Answer: 3 ✔

Option A: -1

Option B: +1

Option C: .6

Option D: 0

Correct Answer: 0 ✔

Option A: Less than observed

Option B: Greater than observed

Option C: Equal to observed

Option D: None of these

Correct Answer: Less than observed ✔

Option A: (0)

Option B: +1

Option C: -1

Option D: non of these

Correct Answer: +1 ✔

Option A: Disassociation

Option B: In consistent

Option C: Associated

Option D: None of these

Correct Answer: Associated ✔

Option A: Constant

Option B: Discreade

Option C: Variable

Option D: Continuous

Correct Answer: Variable ✔

Option A: γyx

Option B: -γyx

Option C: γx

Option D: γo2

Correct Answer: γyx ✔

Option A: Dichotomy

Option B: Capital

Option C: Tracheotomy

Option D: Attribute

Correct Answer: Tracheotomy ✔

Option A: Random table

Option B: Contingency table

Option C: Dichotomy table

Option D: Chi-square table

Correct Answer: Contingency table ✔

Option A: r + c

Option B: rc

Option C: ι r – c ι

Option D: (r -1) (c -1)

Correct Answer: (r -1) (c -1) ✔

Option A: 6x < 6y

Option B: 6y < 6x

Option C: 6x = 6y

Option D: Non of These

Correct Answer: 6x = 6y ✔

Option A: √.96

Option B: √-.96

Option C: 0

Option D: None of these

Correct Answer: None of these ✔

Option A: +vely

Option B: Non-normal

Option C: Symmetrical

Option D: Skewed

Correct Answer: Symmetrical ✔

Option A: Increasing by 6

Option B: Decreasing by 6

Option C: No change

Option D: Non of these

Correct Answer: Decreasing by 6 ✔

Option A: Origin

Option B: Dependence

Option C: Independence

Option D: None

Correct Answer: Independence ✔

Option A: A.M.

Option B: G.M.

Option C: M.D.

Option D: H.M.

Correct Answer: G.M. ✔

Option A: (3)

Option B: (0)

Option C: -3

Option D: -4

Correct Answer: (0) ✔

Option A: Random

Option B: Fixed

Option C: Non-random

Option D: Experimental

Correct Answer: Random ✔

Option A: 6

Option B: 2

Option C: 0

Option D: None

Correct Answer: 2 ✔

Option A: Parameter

Option B: Independent variable

Option C: Error term

Option D: Non of these

Correct Answer: Parameter ✔

Option A: Different

Option B: Same

Option C: None of these

Option D: +ve

Correct Answer: Same ✔

Option A: +1

Option B: -1

Option C: 0

Option D: Non of these

Correct Answer: -1 ✔

Option A: -99

Option B: .99

Option C: 0

Option D: √3

Correct Answer: √3 ✔

Option A: 0 ≤ r ≤ 1

Option B: 0 ≤ r ≤ -1

Option C: -1 ≤ r ≤ 1

Option D: 1 ≤ r ≤ 0

Correct Answer: -1 ≤ r ≤ 1 ✔

Option A: by

Option B: byx

Option C: bzx

Option D: m

Correct Answer: by ✔

Option A: Zero

Option B: Less than zero

Option C: More than zero

Option D: Great

Correct Answer: Zero ✔

Option A: Dependent

Option B: Independent

Option C: Scale

Option D: Both

Correct Answer: Independent ✔

Option A: (x,y)

Option B: (X,Y)

Option C: (X,Z)

Option D: x/y

Correct Answer: (X,Y) ✔

Option A: The mean and variance of the distribution are same (equal)

Option B: The probability of success is always greater than 5

Option C: The number of trials is always less than 5

Option D: it always contains a contingency table

Correct Answer: The mean and variance of the distribution are same (equal) ✔

Option A: It must have a value between 0 and 1

Option B: It can be reported as a decimal or a fraction

Option C: A value near 0 means that the event is not likely to occur/happens

Option D: It is the collection of several experiment

Correct Answer: It is the collection of several experiment ✔

Option A: Independent

Option B: Mutually exclusive

Option C: Bayesian

Option D: Empirical

Correct Answer: Independent ✔

Option A: 4/36

Option B: 13/36

Option C: 21/36

Option D: 15/36

Correct Answer: 15/36 ✔

Option A: Independent

Option B: Mutually Exclusive

Option C: Bayesian

Option D: Empirical

Correct Answer: Mutually Exclusive ✔

Option A: 5

Option B: 5×5

Option C: 1

Option D: None of these

Correct Answer: 1 ✔

Option A: 1.2.3.4,………

Option B: 1.2.3……(n-2) (n-1) (n)

Option C: n. (n-1) (n-2)…………..3.2.1.0

Option D: None of these

Correct Answer: B. 1.2.3……(n-2) (n-1) (n) ✔