Statistics II20805 marksNumerical: sample size estimationDetermination of sample size
What do you understand by estimation? If we want to determine average mechanical aptitude of a large group of workers, how large a random sample is needed to be able to assert with probability 0.95 that the sample mean will not differ from the true mean by more than 2.0 points? Assume that populatio
What do you understand by estimation? If we want to determine average mechanical aptitude of a large group of workers, how large a random sample is needed to be able to assert with probability 0.95 that the sample mean will not differ from the true mean by more than 2.0 points? Assume that population standard deviation is 30. [5]
Parameter Value ------------------ Confidence level $(1-\alpha)$ 0.95 Maximum allowable error $(E)$ 2.0 points Population standard deviation $(\sigma)$ 30 Critical value $Z{\alpha/2}$ at 95% 1.96 Estimation is the statistical procedure of using sample data to infer or approximate the unknown valu...