πStatistics MCQs
Statistics MCQs
490 MCQs61
The Mann-Whitney U test is preferred to a t-test when____________?
ASample are dependent
BThe assumption of normality is not met
CSample sizes are small
DData are paired
62
Which of the following is a true statement for comparing the t distribution with standard normal ?
AGreater the degree of freedom, the more the t-distribution resembles the standard normal distribution
BThe Normal Curve is symmetrical whereas the t-distribution are slightly skewed.
CThe proportion of area beyond a specific value of βtβ is less than the proportion of normal curve
DNon of these
63
The t distribution are_____________?
ASymmetrical
BNone of these
CSame as Normal Curve
DSkewed
64
Which of the following is an assumption underlying the use of the t-distribution ?
AThe sample are drawn from a normally distributed population.
BThe variance of the population is known
CAll above
Ds (sample standard deviation) is an unbiased estimate of the population variance.
65
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_____________?
AHerbicide A is more effective than Herbicide B
BHerbicide A is not more effective than Herbicide B
CHerbicide B is more effective than Herbicide A
DHerbicide B is not more effective than Herbicide A
66
Consistency of an estimator can be checked by comparing____________?
AStandard Deviation
BMean
Cmean Square Error
DVariance
67
In x = 2 _________ 6y the value of y are increasing by one unit then values of x are?
AIncreasing by 6
BDecreasing by 6
CNo change
DNon of these
68
Let Z1,Z2,β¦.Zn be independent and identically distributedrandom variable, satisfying E[ΞΉ Zt ΞΉ]<β. Let N be an integer valued random variable whose value n depends only on the values of the first n ZΒ‘'s. Suppose E(N)< β, then E(Z1,Z2,β¦.Zn)=E(N)E(Z) is called ?
AIndependence Equation
BSequential Probability Likelihood Equation
CNeyman Pearson Lemma
DWaldβs Equation
69
Let X1,X2,β¦Xn be a random sample from the density f(x;(ΞΈ), where ΞΈ may be vector. If the conditional distribution of X1,X2,β¦Xn given S=s does not depend on ΞΈ for any value of s of S, then statistic is called?
AMinimal sufficient statistic
BSufficient statistic
CEfficient
DMinimax statistics
70
if Var(ΞΈΛ)β0 as n β 0, then ΞΈΛ is said to be______________?
ASufficient
BEfficient
CUnbiased
DConsistent