Scores on a certain test follow the normal curve with an average of 1350 and a standard deviation of 120. What percentage of test takers score below 1230? (Use the empirical rule.) 16%, 1230 is one ...

The Annals of Statistics, Vol. 49, No. 4, Memorial issue for Charles Stein (August 2021), pp. 1850-1863 (14 pages) This paper is a short exposition of Stein’s method of normal approximation from my ...

The normal approximation to the binomial test with and without a continuity correction is evaluated in terms of control of Type I errors and power. The normal approximations are evaluated as robust ...

This video describes the central limit theorem and some properties of the normal distribution. Understanding this will help you tie together many of the different types of hypothesis tests and ...

Abstract: This paper presents some results on the accuracy of normal form analysis for large deviations from the stable equilibrium point (SEP) in a power system. The results of studies on the region ...

Abstract: This paper shows that, under the average error probability formalism, the third-order term in the normal approximation for the additive white Gaussian noise ...

1 Beijing Education Examinations Authority, Beijing, China. 2 Department of Mathematics and Statistics, York University, Toronto, Canada. F distribution is one of the most frequently used ...

Where \(X\) is a normally distributed random variable with mean \(\mu\) and standard deviation \(\sigma\). The peak of the curve occurs at \(x=\mu\), and the spread ...