Sampling Techniques and Statistical Inference Two Marks Questions

12th Standard EM

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Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. Explain in detail about simple random sampling with a suitable example.

  2. Explain the stratified random sampling with a suitable example.

  3. Explain in detail about systematic random sampling with example.

  4. State any three merits of stratified random sampling.

  5. State any two demerits of systematic random sampling.

  6. 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?

  7. 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?

  8. Mention two branches of statistical inference?

  9. What is confidence interval?

  10. What is null hypothesis? Give an example.

  11. 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?

  12. 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?

  13. 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.

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

  15. 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.

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