Test: Sampling Theory - 1 - CA Foundation

The population of roses in Salt Lake City is an example of

Statistical decision about an unknown universe is taken on the basis of

Random sampling implies

A parameter is a characteristic of

A statistic is

Sampling Fluctuations may be described as

The sampling distribution is

Standard error can be described as

A measure of precision obtained by sampling is given by

As the sample size increases, standard error

If from a population with 25 members, a random sample without replacement of 2 members is taken, the number of all such samples is

A population comprises 5 members. The number of all possible samples of size 2 that can be drawn from it with replacement is

Simple random sampling is very effective if

Simple random sampling is

According to Neyman’s allocation, in stratified sampling

Which sampling provides separate estimates for population means for different segments and also an over all estimate?

Which sampling adds flexibility to the sampling process?

Which sampling is affected most if the sampling frame contains an undetected periodicity?

Which sampling is subjected to the discretion of the sampler?

The criteria for an ideal estimator are

The sample standard deviation is

The sample mean is

For an unknown parameter, how many interval estimates exist?

The most commonly used confidence interval is

(Direction 28- 40) Answer the following question. Each question carries 2 marks.

Q. If a random sample of size 2 with replacement is taken from the population containing the units 3,6 and 1, then the samples would be

If a random sample of size two is taken without replacement from a population containing the units a,b,c and d then the possible samples are

If a random sample of 500 oranges produces 25 rotten arranges, then the estimate of SE of the proportion of rotten arranges in the sample is

If the population SD is known to be 5 for a population containing 80 units, then the standard error of sample mean for a sample of size 25 without replacement is

A simple random sample of size 16 is drawn from a population with 50 members. What is the SE of sample mean if the population variance is known to be 25 given that the sampling is done with replacement?

A simple random sample of size 10 is drawn without replacement from a universe containing 85 units. If the mean and SD, as obtained from the sample, are 90 and 4 respectively, what is the estimate of the standard error of sample mean?

A sample of size 3 is taken from a population of 10 members with replacement. If the sample observations are 1,3 and 5, what is the estimate of the standard error of sample mean?

If n numbers are drawn at random without replacement from the set { 1,2,..,m}, then var.  would be

A random sample of the heights of 100 students from a large population of students having SD as 0.35m show an average height of 1.75m. What are the 95% confidence limits for the average height of all the students forming the population?

A random sample of size 17 has 52 as mean. The sum of squares of deviation from mean is 160. The 99% confidence limits for the mean are

[Given t_0.01,15 = 2.60, t_0.01,16 = 2.58 t_0.01,17 = 2.57 t_0.005,15 = 2.95 t_0.005,16 = 2.92 t_0.05,17 = 2.90]

A random sample of size 82 was taken to estimate the mean annual income of 500 families and the mean and SD were found to be Rs.7500 and Rs.80 respectively. What is upper confidence limit to the average income of all the families when the confidence level is 90 percent?

8 Life Insurance Policies in a sample of 100 taken out of 20,000 policies were found to be insured for less than Rs.10,000. How many policies in the whole lot can be expected to be insured for less than Rs. 10,000 at 95% confidence level?

A random sample of a group of people is taken and 120 were found to be in favor of liberalizing licensing regulations. If the proportion of people in the population found in favor of liberalization with 95% confidence lies between 0.683 and 0.817, then the number of people in the group is