Explain in detail about simple random sampling with a suitable example.

Explain the stratified random sampling with a suitable example.

Explain in detail about systematic random sampling with example.

State any three merits of stratified random sampling.

State any two demerits of systematic random sampling.

A random sample of 60 observations was drawn from a large population and its standard deviation was found to be 2.5. Calculate the suitable standard error that this sample is taken from a population with standard deviation 3?

In a sample of 400 population from a village 230 are found to be eaters of vegetarian items and the rest non-vegetarian items. Compute the standard error assuming that both vegetarian and non-vegetarian foods are equally popular in that village?

Mention two branches of statistical inference?

What is confidence interval?

What is null hypothesis? Give an example.

A sample of 100 items, draw from a universe with mean value 4 and S.D 3, has a mean value 63.5. Is the difference in the mean significant at 0.05 level of significance?

A sample of 400 individuals is found to have a mean height of 67.47 inches. Can it be reasonably regarded as a sample from a large population with mean height of 67.39 inches and standard deviation 1.30 inches at 0.05 level of significance?

The average score on a nationally administered aptitude test was 76 and the corresponding standard deviation was 8. In order to evaluate a state’s education system, the scores of 100 of the state’s students were randomly selected. These students had an average score of 72. Test at a significance level of 0.05 if there is a significant difference between the state scores and the national scores.

Explain in detail about the test of significance for single mean.

Determine the standard error of proportion for a random sample of 500 pineapples was taken from a large consignment and 65 were found to be bad.