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 σ^{2} = 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?