Suparat Niwitpong and Sa-aat Niwitpong On Simple Confidence Intervals for the Normal Mean with Known Coefficient of Variation
1444 - 1447
2013
7
9
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/16732
http://waset.org/publications/81
World Academy of Science, Engineering and Technology
In this paper we proposed the new confidence interval for the normal population mean with known coefficient of variation. In practice, this situation occurs normally in environment and agriculture sciences where we know the standard deviation is proportional to the mean. As a result, the coefficient of variation of is known. We propose the new confidence interval based on the recent work of Khan 3 and this new confidence interval will compare with our previous work, see, e.g. Niwitpong 5. We derive analytic expressions for the coverage probability and the expected length of each confidence interval. A numerical method will be used to assess the performance of these intervals based on their expected lengths.
International Science Index 81, 2013