STA301 Quiz 4 Set 2 by VU Topper RM

If Var(mean1) < Var(mean2) it implies: A. Mean2 is more efficient B. Mean2 is more consistent C. Mean1 is more consistent

D. Mean1 is more efficient

An estimator is said to be efficient if it has A. Unbiased estimate

B. Smallest Variance

C. Both (a) & (b) D. None of these

In sampling from a large population with sigma= 12, the standard error of the mean is found to be 3. The size of the sample used is:

A. 16

B. 12 C. 22 D. 11

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. t-distribution

B. Normal distribution

C. Chi-square distribution D. F-distribution

The standard error of the sampling distribution of differences of means ( x 1 - x 2) ,is equal to:

B. None of the above C. √(б/n) P 0 1 2 3 f(p) 1/20 9/20 9/20 1/20

Select the correct option A. 10/20

B. 30/20

C. 25/20 D. 15/20

Normal approximation to the binomial distribution is used when:

A. np>5

B. Both of the above C. None of the above D. nq>5

A parameter is a ..... quantity.

A. Constant

B. Sample C. Random D. Variable

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. A biased estimate for the parameter

B. An unbiased estimator of the parameter

C. Approximately normally distributed D. Normally distributed

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. 25

D. 10

In interval estimation we obtained a ……of values as an estimate of parameter.

A. Range

B. Group C. Both a and b D. None of these

P 0 1/3 2/3 1 f(p) 1/20 9/20 9/20 1/20

A. 11/20 B. 12/20

C. 9/20

D. 10/20

If an estimator is more efficient then the other estimator, its shape of the sampling distribution will be A. Normal B. Flattered

C. Highly peaked

D. Skewed to right

If our sampled population is normal, then sampling distribution of the sample mean will ………: A. None of the above B. Depends on sample size C. Not necessarily normal