Animation Examples

1. [Exercise 5.7.3] A graph comparing the standard normal p.d.f. with the p.d.f.s for the t distribution for several values of the degrees of freedom can come alive using animation. Solution

2. [Exercises 3.5.5, 3.5.6 and 5.5.3] Animation can be used to illustrate the role of n and p on the shape of the binomial probability histogram and the normal approximation to the binomial distribution. Solution

3. [Exercise 5.5.8] Use animation to plot the probability histogram for the Poisson distribution for [Maple Math] going from 1 to 25 along with the N ( [Maple Math] , [Maple Math] ) p.d.f. superimposed to illustrate the central limit theorem. Solution

4. [Exercises 7.2.7 and 7.2.8] Change the values of n and/or the significance level a to illustrate how these affect the power function using animation. Solution

5. [Exercise 11.5.2] Let R denote the sample correlation coefficient when sampling from a bivariate normal distribution. Use animation to graph the p.d.f.'s of R when [Maple Math] . Solution