Y
Yew Jin
Based on the the NIST engineering statistics handbook stated that "As a technical note, a 95% confidence interval does not mean that there is a 95% probability that the interval contains the true mean. The interval computed from a given sample either contains the true mean or it does not."
1. Why the confidence interval under a specific % does not contain the true mean by using the sample from the population?
2. Why the 95% of confidence interval is used commonly? Is the 5% of the risk stated in any standard to be used?
A confidence limits will be calculated from a sample of n1 size. However, with replicate on this, second sample of n2 size will be drawn from the same population and another confidence limits will be calculated. (n1 and n2 can be same or different in this case).
1. To get the narrower confidence limits, the overlap of the above 2 confidence limits should be considered.So that it will be more precise to estimate the true mean of population. How many time of samples should we considered in this case to estimate the true mean?
1. Why the confidence interval under a specific % does not contain the true mean by using the sample from the population?
2. Why the 95% of confidence interval is used commonly? Is the 5% of the risk stated in any standard to be used?
A confidence limits will be calculated from a sample of n1 size. However, with replicate on this, second sample of n2 size will be drawn from the same population and another confidence limits will be calculated. (n1 and n2 can be same or different in this case).
1. To get the narrower confidence limits, the overlap of the above 2 confidence limits should be considered.So that it will be more precise to estimate the true mean of population. How many time of samples should we considered in this case to estimate the true mean?