The larger the standard error, the ........ the confidence interval.

• A) Inaccurate
• B) Narrower
• C) Accurate
• D) Wider

Suppose we have a population of size N = 5 i.e. 0,11,20,23,45 and if we draw all possible samples of size n = 2 with replacement then total possible samples will be:

• A) 35
• B) 50
• C) 10
• D) 25

When sampling is from an infinite population, the mean and standard error of the sampling distribution of p^ are ________ and________, respectively:

• A) p, sqrt [p(1 - p)/n]
• B) p, p(1 - p)
• C) p, n(1 - p)p
• D) p^, p(1 - p) / n

Confidence interval is also known as

• A) Point estimator
• B) Margin of error
• C) Level of Significance
• D) None of these

In general, the estimators obtained by the method of moments are ………….

• A) All the above
• B) Inefficient
• C) Biased
• D) Inconsistent

A standard deviation obtained from sampling distribution of sample statistics is known as

• A) Sampling error
• B) Minimum error
• C) Standard error
• D) Universal error

In sampling from a large population with б= 60. The size of the sample used is 100, the value of the standard error will be:

• A) 42
• B) 15
• C) 6
• D) 4

Statistical Inference can be divided into two main branches:

• A) Estimation and Hypothesis testing
• B) MLE and Methods of moments
• C) All above
• D) Interval Estimation and Point Estimation

The limitation of point estimation is that:

• A) It is not calculated for small sample
• B) There is no way of ascertaining how close the point estimate to parameter?
• C) All of these
• D) It is not calculated for non-normal distribution

Method of Moments for estimation of parameters is based on the theory of

• A) Linear Estimation
• B) None of the above
• C) Non-linear estimation
• D) Both Linear and Non-linear

The relative efficiency of T1 compared to T2 where:

• A) both T1 and T2 are biased estimators
• B) T2 is unbiased estimator
• C) both T1 and T2 are unbiased estimators
• D) T1 is unbiased estimator

What is the rule of thumb for a sample size "n" to be considered large.

• A) n<30
• B) n=30
• C) None of the above
• D) n>30 or n=30

"To consider every possible value that the parameter might have, and for each value, compute the probability and THAT value of the parameter for which the probability of a given sample is greatest, is chosen as an estimate.” This procedure is known as

• A) The method of maximum likelihood
• B) The method of fractional moments
• C) The method of least square
• D) The method of moments

A statistic whose standard deviation decreases with an increase in sample size will be called:

• A) Efficient
• B) Consistent
• C) Sufficient
• D) Unbiased

The precision of an estimator can be increased by increasing the;

• A) Size of population
• B) Size of sample
• C) Number of parameters
• D) Number of estimators

If the two populations are non-normal and both the sample sizes are large, then the sampling distribution of the difference of means will be:

• A) F-distribution
• B) Normal distribution
• C) Chi-square distribution
• D) t-distribution

A consistent estimator will always be a:

• A) Unbiased estimator and biased estimator
• B) Unbiased estimator
• C) Biased estimator
• D) May or may not be unbiased estimator

Suppose the population of all scores from this class has a mean of 72% and a standard deviation of 12%. For a random sample of 36 students, the distribution of sample mean has a mean of ___ and a standard deviation of ___:

• A) 12, 1/3
• B) 12, 12
• C) 72, 2
• D) 72, 12

In a sampling experiment the mean value of all the possible values of the statistic was found to be equal to the corresponding population parameter. This condition suggests that the statistic is:

• A) An unbiased estimator of the parameter
• B) A biased estimate for the parameter
• C) Approximately normally distributed
• D) Normally distributed

The method of Maximum Likelihood (ML) is used to find out:

• A) Random numbers
• B) Correlation coefficient
• C) Point estimates
• D) Sample values