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problem 1:

a) describe about:

  • Null Hypothesis
  • Alternate Hypothesis
  • Level Of Significance
  • Critical region

b) what are different types of large sample tests

problem 2:

a) Give the difference between point estimation and interval estimation?
b) Give the differences between interval estimation and Bayesian estimation?

problem 3:

a) A sample of 900 members has a mean 3.4 cms and S.D. 2.61 cms. Is this sample has been taken from a large population of mean 3.25 cms and S.D. 2.61 cms. If the population is normal and its mean is unknown. Find out the 95% confidence limits of the true mean?

b) In a certain factory there are two independent processes for manufacturing the same item. The average weight in a sample of 250 items produced from one process is found to be 120 gms with a S.D of 12 gms. While the corresponding figures in a sample of 400 items from the other process are 124 and 14. Test the significance between the difference of two means 5% level.

problem 4:

a) Find out the maximum error one can expect to make with probability 0.9, when using mean of a random sample of size n = 64 to estimate the mean of a population with σ2 = 2.56?

b) A sample of 155 members has a mean 67 and S.D 5.2. Is this sample has been taken from a large population of mean 70?

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