a) describe about:
- Null Hypothesis
- Alternate Hypothesis
- Level Of Significance
- Critical region
b) what are different types of large sample tests
a) Give the difference between point estimation and interval estimation?
b) Give the differences between interval estimation and Bayesian estimation?
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.
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?