If sampling is from a normal population, the mean of the sampling distribution of the sampled means is equal to:

• A) The mean of the sampled population
• B) sigma the standard deviation of the population
• C) s/(n-1)
• D) б/√n

If we draw a sample of size ‘n’ from a population then sample is called “large sample" if:

• A) n>50
• B) n>25
• C) n>40
• D) n>30

Consider a large population with a mean of 160 and a standard deviation of 20. A random sample of size 64 is taken from this population. What is the standard deviation of the sample mean?

• A) 3.125
• B) 3.568
• C) 1.654
• D) 2.500

P 0 1 2 3
f(p) 1/20 9/20 9/20 1/20
The mean of the sampling proportion will be:

• A) 10/20
• B) 25/20
• C) 15/20
• D) 30/20

The sampling distribution of the mean becomes approximately normally distributed only when the following conditions is met?

• A) A single random sample is drawn from the population.
• B) The sample size is large.
• C) The standard deviation of the population is large.
• D) The population is normally distributed.

A random sample of size n = 25 is drawn from a normal population with population mean = 50 and sigma = 10 then mean of the sampling distribution of the sample mean is:

• A) 50
• B) 2
• C) 45
• D) 25

Normal approximation to the binomial distribution is used when:

• A) None of the above
• B) Both of the above
• C) nq>5
• D) np>5

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

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

Total no. of possible samples of size 3 (with replacement) from the population of size 6, will be:

• A) 216
• B) 196
• C) 325
• D) 256

If Var(mean1) < Var(mean2) it implies:

• A) Mean1 is more consistent
• B) Mean1 is more efficient
• C) Mean2 is more efficient
• D) Mean2 is more consistent

The sampling distribution of the sample proportion, p^, will be ______ distributed if the sample size is large and p^ is not too close to 0 or l:

• A) Binomial
• B) Normal
• C) Poisson
• D) Approximately normal

Conventionally, the probability of making a type-II error is denoted by:

• A) a (alpha)
• B) б (sigma)
• C) Ɵ (theta)
• D) ß (beta)

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

• A) Estimator
• B) Parameter
• C) Proportion
• D) Estimate

Conventionally, the probability of making a type-I error is denoted by which of the following symbol?

• A) ß (beta)
• B) s (sigma)
• C) ? (theta)
• D) a (alpha)

Ideally, the width of confidence interval should be

• A) 1
• B) 0
• C) 98
• D) 100

The probability distribution of the proportion of successes in all possible samples is called the:

• A) Sampling probability distribution
• B) Sampling distribution of Population proportions
• C) Sampling distribution
• D) Sampling distribution of sample proportions

In a Geometric distribution, Maximum Likelihood Estimator (MLE) for proportion (P) is equal to:

• A) Reciprocal of the mean
• B) Reciprocal of the sample variance
• C) Sample variance
• D) Sample mean

The difference between the value of the statistic and the value of the parameter is called ________________.

• A) Sampling Error
• B) Random Error
• C) Biased Error
• D) Standard 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) 12
• B) 45
• C) 4
• D) 6

Which of the following statements is correct?

• A) A point estimate is an unbiased estimator if its standard deviation is the same as the actual value of the population standard deviation
• B) All of the above statements are correct
• C) A point estimate is a single value estimate of the value of a population parameter
• D) A point estimate is an estimate of the range of a population parameter