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# New Statistical Interference( Statistics ) MCQs – Up To Date Statistics MCQs

#### New Statistical Interference( Statistics ) MCQs – Up To Date Statistics MCQs

This post is comprising of latest ” ( Statistics ) MCQs – Latest Competitive MCQs “. Here you’ll get latest Statistics mcqs for written test, interview with answers. If you want to improve your knowledge regarding Statistics then read these mcqs of Design of Steel Structures. #### Latest Statistics MCQs

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#### LatestStatistical Interference( Statistics ) Mcqs

The most occurred mcqs of Statistical Interference( Statistics ) in past papers. Past papers of Statistical Interference( Statistics ) Mcqs. Past papers of Statistical Interference( Statistics ) Mcqs . Mcqs are the necessary part of any competitive / job related exams. The Mcqs having specific numbers in any written test. It is therefore everyone have to learn / remember the related Statistical Interference( Statistics ) Mcqs. The Important series of Statistical Interference( Statistics ) Mcqs are given below:

Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as______________E[∏(θ)ιX1,X2,…..,Xn] is called?

A. Posterior Bay’s estimator
B. Bay’s estimator
C. Minimax estimator
D. Sufficient estimator

The non parametric equivalent of an unpaired samples t-test____________?

A. Wilcoxon signed rank test
B. Mann-Whitney U test
C. Kruskal Wallis Test
D. Sign test

When testing for randomness, we can use_____________?

A. None of these
B. Sign test
C. Runs test
D. D Mann-Whitney U test

Which of the following test is most likely assessing this null hypothesis: Ho The number of violations per apartment in the population of all city apartments is binomially distributed with a probability of success in any one trial of P=0.3 dd ?

A. The Kruskal-Wallis test
B. The Mann-Whitney test
C. The Wilcoxon Signed Rank test
D. The Kolmogorove-Simirnor test

Which of the following test must be two-sided ?

A. Sign test
B. Kruskal-Wallis
C. Wilcoxon Signed Rank
D. Runs test

The Wilcoxon, Rank-Sum test used to compares_______________?

A. A sample mean to the population mean
B. Any number of populations
C. Two populations
D. Three populations

Comparing the times to failure of radar transponders made by firms A, B, and C based on an airline’s sample experience with the three types of instruments one may use____________?

A. Wilcoxon Rank-Sum test
B. Kolmogorov-Smirnor test
C. Spearman Rank Correlation test
D. Kruskal-Wallis test

In testing for the difference between two populations, it is possible to use____________?

A. The Sign test
B. The Wilcoxon Rank-Sum test
C. None of the above
D. Either of the above

The Runs test results in rejecting the null hypothesis of randomness when______________?

A. There is an unusually small number of runs
B. There is an unusually large number of runs
C. None of these
D. Either of the above

The critical value of a test statistic is determined from_____________?

A. calculations based on many actual repetitions of the same Experiment
B. The sampling distribution of the statistics assuming Null Hypothesis
C. The sampling distribution of the statistic assuming Alternative Hypothesis.
D. Non of these

what is the probability of a type II error when α=0.05 ?

A. 0.05
B. 0.95
C. 0.025
D. Cannot be determined without more information

condition for applying Central Limit Theorem (CLT) which approximate the sampling distribution of the mean with a normal distribution is ?

A. n > 30
B. 2 n 5
C. N(1 – p) > 5
E. N < 30

For t distribution, increasing the sample size, the affect will be on ?

A. The t-ratio
B. Standard Error of the Means
C. Degrees of Freedom
D. All Above

A quantity obtained by applying certain rule or formula is known as ________________?

A. Estimate
B. Estimation
C. Test Statistics
D. Sample
E. Estimator

Analysis of Variance (ANOVA) is a test for equally of______________?

A. Variances
B. Means
C. Only two parameters
D. Proportions

If we reject the null hypothesis, we might be making____________?

A. A correct Decision
B. Unpredictable
C. Type-II Error
D. Type-Error

Parameter is a _________ quantity?

A. Constant
B. Variable
C. All of above
D. None of above

1 – α is the probability of_____________?

A. Acceptance Region
B. Type-II Error
C. Type-I error
D. Rejection Region

Power of test is denoted by _______________?

A. α
B. β
C. (1 – α )
D. (1 – β)

The values that separate the region of rejection and acceptance region are called _______________?

A. Critical value
B. Confidence boundaries
C. Confidence limits
D. None of these

#### Sample Linear Regression MCQs

The level of significance is denoted by _________________?

A. β
B. 1 – ∞
C. ∞
D. 1 – β

If n = 400 and P=.69 then 90% C.I for P is _________________?

A. 652 and . 728
B. .798 and .745
C. .314 and .652
D. None of these

Which of the following is simple hypothesis___________________?

A. u = 20
B. u 20
C. u ≠ 20
D. u 30

E(x1 – x2)= ___________________?

A. 6x – x2
B. u1 – u2
C. ux – x2
D. 6×2 – x2

95% confidence limits u are ________________?

A. u±1.95 S/√n
B. x±1.65 6/√n
C. x±1.96 6/√n
D. ±1.96 6/√n

The minimum variance unbiased estimator of the population mean is _______________?

A. S/√n
B. 6/√n
C. S2/n
D. 6x/√n

__________ is the process of using sample information to reach?

A. Biased
B. Population
C. Unbiased
D. Increase

_________ is an estimate expressed by a single value?

A. Point estimator
B. C.I.
C. Parameter
D. Point estimate

x=40 is estimator of _________________?

A. (U)
B. Ux
C. 6
D. 6/√n

Sample variance S2 is unbiased estimator of population variance 26 because ________________?

A. E(u) = X
B. E(S2) = s2
C. E(P) = P
D. Ux = u

Sample proportion P is __________ estimator?

A. Parameter
B. Biased
C. Unbiased
D. None of these

An estimator Q is an unbiased estimator of the population parameter Q if ___________________?

A. E(Q) =Q
B. E(Q) =Q
C. E(x) = µ
D. E(P) = P

Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as_________________E[∏(θ)ιX1,X2,…..,Xn] is called?

A. Posterior Bay’s estimator
B. Bay’s estimator
C. Minimax estimator
D. Sufficient estimator

If E(θˆ)=θ, then θˆ is said to be_______________?

A. Unbiased
B. Sufficient
C. Consistent
D. Efficient

if Var(T2)_______________?

A. Efficient
B. Unbiased
C. Sufficient
D. Consistent

for two estimators T1=t1(X1,X2,….Xn) and T1=t1(X1,X2,….Xn) then estimators t1 is defined to be Rt1(θ)≤Rt2(θ) for all θ in Θ ?

A. Sufficient estimator
C. Consistent estimator
D. Minimax estimator

A test is said to be most powerful test of size α, if_______________?

A. Among all other test of size α or less it has the largest power
B. Among all other test of size α or greater it has the largest β
C. Among all other test of size α or greater it has the smallest power
D. Among all other test of size α or greater it has the largest 1 – α

If the conditional distribution of X1,X2,…..Xn given S=s, does not depends on θ, for any value of S=s the statistics S=s(X1,X2,…..Xn) is called______________?

A. Consistent
B. Sufficient
C. Unbiased
D. Efficient

#### Probability MCQs

A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?

A. It is a function of any sufficient statistics in the set.
B. It is a function of every other set of sufficient
C. It is a function of some other set of sufficient statistics.
D. It is not a function of every other set of sufficient statistics.

For a biased estimator θˆ of θ, which one is correct_______________?

A. MSE(θˆ)=SD(θˆ)+Bias2
B. MSE(θˆ)=Var(θˆ)+Bias2
C. MSE(θˆ)=SD(θˆ)+Bias
D. MSE(θˆ)=Var(θˆ)+Bias

Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι]<∞. Let N be an integer valued random variable whose value n depends only on the values of the first n Z¡’s. Suppose E(N)< ∞, then E(Z1,Z2,….Zn)=E(N)E(Z) is called ?

A. Independence Equation
B. Neyman Pearson Lemma
C. Sequential Probability Likelihood Equation
D. Wald’s Equation

Let X1,X2,…Xn be a random sample from the density f(x;(θ), where θ may be vector. If the conditional distribution of X1,X2,…Xn given S=s does not depend on θ for any value of s of S, then statistic is called?

A. Minimal sufficient statistic
B. Efficient
C. Sufficient statistic
D. Minimax statistics

if Var(θˆ)→0 as n → 0, then θˆ is said to be______________?

A. Efficient
B. Sufficient
C. Unbiased
D. Consistent

if f(x1,x2,…xn;θ)=g(θˆ;θ)h(x1,x2,….,xn), then θˆ is____________?

A. Efficient
B. Sufficient
C. Consistent
D. Unbiased

Which of the following test use Rank Sums____________?

A. Kruskal-Wallis and Wilcoxon tests
B. Chi-Square and sign test
C. Runs test
D. F test

Wilcoxon Rank-Sum test can be of_______________?

A. Upper tailed
B. Lower tailed
C. Either of the above
D. None of the above

When using the sign test, if two scores are tied, then_____________?

A. We depends upon the scores
B. We discard them
C. We count them
D. none of these

In a Wilcoxon Rank-Sum test__________________?

A. Ties within one sample may affect the decision
B. Ties never affect the decision
C. Ties always affect the decision
D. Ties between the two sample may affect the decision

The Spearman Rank-Correlation test requires that the______________?

A. Data must be from two independent samples
B. Data should be of ordinal scale at least
C. Data must be distribution at least approximately as a t-distribution
D. Data must be measured on the same scale

To perform a Runs test for randomness the data must be_______________?

A. Quantitative
B. Divided into exactly two classifications
C. Divided into at least two classifications
D. Qualitative

Three brands of coffee are rated for tasted on a scale of 1 to 10. Six persons are asked to rate each brand so that there is a total of 18 observations.The appropriate test to tasted equally good is_____________?

A. One way analysis of variance (ANOVA)
B. Wilcoxon Rank-Sum test
C. Spearman Rank difference
D. Kruskal-Wallis test

The sign test assumes that the_______________?

A. Samples have same mean
B. Samples are independent
C. Sample are dependent
D. The Wilcoxon Signed Rank test is used

The Mann-Whitney U test is preferred to a t-test when____________?

A. Sample sizes are small
B. The assumption of normality is not met
C. Sample are dependent
D. Data are paired

Which of the following is a true statement for comparing the t distribution with standard normal ?

A. Greater the degree of freedom, the more the t-distribution resembles the standard normal distribution
B. The proportion of area beyond a specific value of “t” is less than the proportion of normal curve
C. The Normal Curve is symmetrical whereas the t-distribution are slightly skewed.
D. Non of these

The t distribution are_____________?

A. Symmetrical
B. Skewed
C. Same as Normal Curve
D. None of these

Which of the following is an assumption underlying the use of the t-distribution ?

A. The sample are drawn from a normally distributed population.
B. The variance of the population is known
C. s (sample standard deviation) is an unbiased estimate of the population variance.
D. All above

#### Presentation Of Data MCQs

Herbicide A has been used for years in order to kill a particular type of weed. An experiment is to be conducted in order to see whether a new herbicide, Herbicide B, is more effective than Herbicide A. Herbicide A will continue to be used unless there is sufficient evidence that Herbicide B is more effective. The alternative hypothesis in this problem is_____________?

A. Herbicide A is not more effective than Herbicide B
B. Herbicide A is more effective than Herbicide B
C. Herbicide B is more effective than Herbicide A
D. Herbicide B is not more effective than Herbicide A

Consistency of an estimator can be checked by comparing____________?

A. Mean
B. Standard Deviation
C. mean Square Error
D. Variance

Criteria to check a point estimator to be good are_____________?

A. Unbiasedness
B. All Above
C. Consistency
D. Efficiency

The first and starting point in test Hypothesis is ______________?

A. L of significance
B. stating Ho
C. stating H1
D. Test statistics

If Ho is stated as Q = Qo< the alternate hypothesis in general stated________________?

A. Q Qo
B. Q ≠ Qo
C. All of these
D. None of these

Which of the following cannot be Ho_________________?

A. Q ≥ Qo
B. Q ≤ Qo
C. Q = Qo
D. Q ≠ Qo

Type II error is committed when the null hypothesis is _________________?

A. Accepted when it is true
B. Rejected when it is false
C. Rejected when it is true
D. Accepted when it is false

The hypothesis which is being tested is called ___________________?

A. Alternative hypothesis
B. Composite hypothesis
C. Null hypothesis
D. Simple hypothesis

95% confidence limits for P are _________________?

A. P±1.65(pq/n)
B. P±2.18√p2q2/n
C. P±1.96 p2q2/√n
D. P±1.96√p2q2/n

The Estimation and testing of hypothesis are main branches of ________________?

A. Probability distribution
B. Sampling
C. Regression
D. Statistical Inference

___________ is a value of sample statistics?

A. Estimate
B. Probability
C. Estimator
D. Numerical

Sampling Error decrease by _______ the sample size?

A. Decrease
B. Increase
C. Sampling
D. Population

Since E(X) _______X is said to be unbiased estimator of the population mean?

A. X
B. Q
C. Ux
D. u

A_______ is the specific value of the statistic used to estimate the population parameter?

A. Point estimator
B. Estimator
C. C.I.
D. None of these