BA5106
STATISTICS FOR MANAGEMENT
UNIT-II- DISTRIBUTION AND ESTIMATION
MULTI CHOICE QUESTIONS
1. ________ in statistics means the whole of the information which comes under the purview of statistical investigation
(B) event
(C) sample
(D) Population
(B) event
(C) definite
(C) statistic
(D) Data
(B) statistic
(C) Sample
(D) data
(B) $\sigma$
(C) P
(D)N
(B) $\sigma$
(C) P
(D) N
(B) $\sigma$
(C) P
(D) N
(A) $\mu$
(B) $\sigma$
(C) P
(D) N
(A) $\bar{x}$
(B) s
(D)n
(A) $\bar{x}$
(B) s
(D)n
(A) $\bar{x}$
(B) s
(D)n
(A) $\bar{x}$
(B) s
(D)n
(A) parameter
(B) population
(C) Sampling
(D) mean
(A) Multi-stage Sampling
(B) Systematic Sampling
(C) Stratified Sampling
(D) Simple Random Sampling
(A) Multi-stage Sampling
(B) Systematic Sampling
(C) Stratified Sampling
(D) Simple Random Sampling
(A) Multi-stage Sampling
(B) Systematic Sampling
(C) Stratified Sampling
(D) Simple Random Sampling
(A)Multi-stage Sampling
(B) Systematic Sampling
(C) Stratified Sampling
(D) Simple Random Sampling
(A) Point Estimation}
(B) Interval Estimation
(C) Confidence Interval
(D) Fiducial Limits
(B) Confidence Interval }
(C) Point Estimation
(D) Fiducial Limits
21. The ________ proportion P is the ratio of the number of elements possessing a characteristic to the total number of elements in the population
(A) sampling
(B) parameter
(C) Population
(D) Sample
22.The _______proportion p is the ratio of the number of elements possessing a characteristic to the total number of elements in the sample
(A) sampling
(B) parameter
(C) Population
(D) Sample
23.The mean of sampling distribution of p ________ the population proportion .,i.eE(p)=P
(A) Greater than
(B) Less than
(C) Not equal
(D) Equal
24. t-Distribution is a symmetrical distribution with mean _________
(A) two
(B) not zero
(C) zero
(D) one
25.The shape of the curve of t-distribution varies with the degrees of freedom.The degree of freedom is defined as ___________
(A) n-1
(B) n+1
(C) n-2
(D) n+2
26. Sampling distribution of t does not depend on population parameter but it depends only on v= ____________
(A) n-1
(B) n+1
(C) n-2
(D) n+2
27. $S.E(\bar{x})=$_________ when $\sigma$ the standard deviation of the normal population $\sigma$ is known
(A) $ \frac{\sigma}{n}$
(B) $ \frac{\sigma}{\sqrt{n}}$
(C) $ \frac{1}{\sqrt{n}}$
(D) $ \frac{1}{n}$
28.$S.E(\bar{x})=$_________ when $\sigma$ the standard deviation of the normal population $\sigma$ is not known
(A) $ \frac{s}{n-1}$
(B) $ \frac{s}{\sqrt{n-1}}$
(C) $ \frac{1}{\sqrt{n-1}}$
(D) $ \frac{1}{n-1}$
29. Confidence Interval=_______ when $\sigma$ is known and population is normal or any population with large n
(A) $[ \bar{x}-\frac{\sigma}{n} \times Z_{\alpha},\bar{x}+\frac{\sigma}{n} \times Z_{\alpha}] $
(B) $[ \bar{x}\times \frac{\sigma}{n} \times Z_{\alpha},\bar{x}+\frac{\sigma}{n} \times Z_{\alpha}] $
(C) $[ \bar{x}-\frac{\sigma}{n} \times Z_{\alpha},\bar{x} \times \frac{\sigma}{n} \times Z_{\alpha}] $
(D) $[ \bar{x} \times \frac{\sigma}{n} \times Z_{\alpha},\bar{x} \times \frac{\sigma}{n} \times Z_{\alpha}] $
30. Confidence Interval=_______- when $\sigma$ is unknown with large n
(A) $[ \bar{x}-\frac{s}{\sqrt{n-1}} \times Z_{\alpha},\bar{x} \times \frac{s}{\sqrt{n-1}} \times Z_{\alpha}] $
(B) $[ \bar{x}\times \frac{s}{\sqrt{n-1}} \times Z_{\alpha},\bar{x}+\frac{s}{\sqrt{n-1}} \times Z_{\alpha}] $
(C) $[ \bar{x}-\frac{s}{\sqrt{n-1}} \times Z_{\alpha},\bar{x}+\frac{s}{\sqrt{n-1}} \times Z_{\alpha}] $
(D) $[ \bar{x} \times \frac{s}{\sqrt{n-1}} \times Z_{\alpha},\bar{x} \times \frac{s}{\sqrt{n-1}} \times Z_{\alpha}] $
31. The Poisson Distribution of Moment measure of kurtosis $(\gamma_2) ___________
(A) $\sqrt{\lambda}$
(B) $\lambda$
(C) $ \frac{1}{\sqrt{\lambda}}$
(D) $\frac{1}{\lambda} $
32. The interval estimation of a population parameter $\theta$ is the estimation of the parameter $\theta$ with the help of the interval ___________
(A) $[t-s,t+s] $
(B) $[ts,ts] $
(C) $[ts,t+s] $
(D) $[t-s,ts] $
33. The population size is infinitely large or the sample is drawn with replacement,The Standard Error of sample proportion is $S.E(p)=$ ______ if P is known
(A) $\frac{P}{n}$
(B) $\frac{PQ}{n}$
(C) $\frac{Q}{n}$
(D) $\frac{PQ}{n}$
34.
The population size is infinitely large or the sample is drawn with
replacement,The Standard Error of sample proportion is $S.E(p)=$ ______
if P is unknown
(A)\choice $\frac{p}{n}$
(B) $\frac{pq}{n}$
(C) $\frac{q}{n}$
(D) $\frac{pq}{n}$
35.
The population size is finite and the sample is drawn without
replacement,The Standard Error of sample proportion is $S.E(p)=$
________ if P is known
(A) $\frac{Q}{n}\times\sqrt{\frac{N-n}{N-1}} $
(B) $\frac{PQ}{n}\times\sqrt{\frac{N-n}{N-1}} $
(C) $\frac{P}{n}\times\sqrt{\frac{N-n}{N-1}} $
(D) $\frac{PQ}{n}+\sqrt{\frac{N-n}{N-1}} $
36.
The population size is finite and the sample is drawn without
replacement,The Standard Error of sample proportion is $S.E(p)=$ ______
if P is unknown
(A) $\frac{q}{n}\times\sqrt{\frac{N-n}{N-1}} $
(B) $\frac{pq}{n}\times\sqrt{\frac{N-n}{N-1}} $
(C) $\frac{p}{n}\times\sqrt{\frac{N-n}{N-1}} $
(D) $\frac{pq}{n}+\sqrt{\frac{N-n}{N-1}} $
37.
The standard deviation of the sampling distribution of sample mean. if
is denoted by $\sigma_{\bar{x}}$ and is given by
$\sigma_{\bar{x}}=$_______ where $\sigma$ is the standard deviation of
population and n is the sample size
(A) $\frac{\sigma}{\sqrt{n^2}}$
(B) $\frac{\sigma}{\sqrt{n+1}}$
(C) $\frac{\sigma}{\sqrt{n-1}}$
(D) $\frac{\sigma}{\sqrt{n}}$
38.
The proportion of all possible samples of the same size drawn from a
population.It is denoted by $s_p$ and is given by $s_p= $ If P is
known
(A) $ \sqrt{\frac{PQ}{n^2}}$
(B) $ \sqrt{\frac{PQ}{n}}$
(C) $ \sqrt{\frac{PQ}{n-1}}$
(D) $ \sqrt{\frac{PQ}{n+1}}$
39.___________means drawing conclusions about some matters on the basis of certain results
(A) Tests of Significance
(B) Statistical Inference
(C) Statistical Estimation
(D) Statistic
40.
Sampling theory helps in __________ about the population
characteristics on the basis of suitable statistic computed from a
sample drawn from such parent population
(A) Tests of Significance}
(B) Statistical Inference
(C) Statistical Estimation
(D) Statistic
41. ________it helps in
estimating an unknown the population parameter computed from the sample
drawn from such parent population
(A) Statistical Inference
(B) Tests of Significance
(C) Statistical Estimation
(D) Statistic
42._______
is the method of sampling by which a sample is drawn from a population
based entirely on the personal judgement of the investigator.It is also
known as Judgement Sampling or Deliberate Sampling
(A) Cluster Sampling
(B) Purposive Sampling
(C) Quota Sampling
(D) Convenience Sampling
43.
________ involves arranging elementary items in a population into
heterogeneous subgroups that are representative of the overall
population
(A) Cluster Sampling
(B) Purposive Sampling
(C) Quota Sampling
(D) Convenience Sampling
44.
___________quotas are fixed according to the basic parameter of the
population determined earlier and each field investigator is assigned
with quotas of number of elementary units to be interviewed
(A) Purposive Sampling
(B) Cluster Sampling
(C) Quota Sampling
(D) Convenience Sampling
45. _________a sample is obtained by selecting convenient population elements from the population
(A) Purposive Sampling
(B) Cluster Sampling
(C) Quota Sampling
(D) Convenience Sampling
46.
_________a number of sample lots are drawn one after another from the
population depending on the results of the earlier samples drawn from
the same population
(A) Purposive Sampling
(B) Cluster Sampling
(C) Quota Sampling
(D) Sequential Sampling
47.
A statistics $t=t_n=t(x_1,x_2,x_3,\dots,x_n)$ based on the sample size n
is said to be ________estimator of the parameter $\theta$ if $t_n \to
\theta $ as $ n \to \infty$
(A) Efficiency
(B) Consistency
(C) Sufficiency
(D) Unbiasedness
48. ________ an estimator with lesser variability is said to be more efficient and consequently more reliable than the other
(A) Consistency
(B) Sufficiency
(C) Efficiency
(D) Unbiasedness
49.
A statistic $t=t(x_1,x_2,x_3,\dots,x_n)$ is said to b a _________
estimator of parameter $\theta$ if it contains all the information in
the sample regarding the parameter.
(A) Consistency
(B) Efficiency
(C) Sufficiency
(D) Unbiasedness
50.
A statistic $t=t(x_1,x_2,x_3,\dots,x_n)$ is said to be an
_______estimate of the corresponding population parameter $\theta$ ,if
$E(t)=\theta$ the mean value of the sampling distribution of the
statistic t is equal to the parameter of the population
(A) Consistency
(B) Efficiency
(C) Sufficiency
(D) Unbiasedness
BA5106-SM MCQ ALL UNIT DOWNLOADED
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