A random sample of size 50 with mean 67.9 is drawn from a normal population. If it is known that the standard error of the sample \(\sqrt { 0.7 } \) , find 95% confidence interval for the population mean.

Out of 1000 T.V. viewers, 320 watched a particular programme. Calculate the standard error.

Out of 1500 school students, a sample of 150 selected to test the accuracy of solving a problem in B.M. and of them 10 did a mistake. Calculate the standard error of sample proportion.

A sample of 400 students is found to have mean height of 171.38 cms, Can it reasonable be regarded as a sample from a large population with mean height of 171.17 cms and standard deviation of 3.3 cms (Test at 5% level)

The income distribution of the population of a village has a mean of Rs. 6000 and a variance of Rs. 32,400. Could a sample of 64 persons with a mean income of Rs. 5950 belong to this population. (Test at 1% level of significance).

State any 2 demerits of simple random sampling.

List the various random number tables.

Define Estimation.

What are the characteristic of a good estimator?

Find the standard error of the sample proportion p = 0.45 when the population proportion is 0.5 and the sample size is 100.

Find the standard of the sample mean, when Sample mean is 100, sample size is 64 and population standard deviation is 24.

A random sample of size with mean 67.9 is drawn from a normal population. If it is known that standard error of the sample mean is \(\sqrt 0.7\). Find 95% confidence interval for the population mean.