New ! Business Maths and Statistics MCQ Practise Tests



Sampling Techniques and Statistical Inference - Two Marks Study Materials

12th Standard

    Reg.No. :
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Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. A server channel monitored for an hour was found to have an estimated mean of 20 transactions transmitted per minute. The variance is known to be 4. Find the standard error.

  2. The standard deviation of a sample of size 50 is 6.3. Determine the standard error whose population standard deviation is 6?

  3. What is sample?

  4. Define parameter.

  5. 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?

  6. What is an estimator?

  7. Define critical region.

  8. What is single tailed test.

  9. 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.

  10. 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.

  11. 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.

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

  13. 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.

  14. 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)

  15. 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).

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