Consider the following 16 observed values, rounded to the

Chapter 7, Problem 2E

(choose chapter or problem)

Consider the following 16 observed values, rounded to the nearest tenth, from the exponential

distribution that was given in this section:

12.0         9.4         10.0         13.5           9.3         10.1           9.6           9.3

 9.1         9.2         11.0           9.1         10.4           9.1         13.3         10.6

(a) Take resamples of size \(n=16\) from these observations about \(N=200\), times and compute \(s^{2}\) each time. Construct a histogram of these 200 bootstrapped values of \(S^{2}\).

(b) Simulate \(N=200\) random samples of size \(n=16\) from an exponential distribution with \(\theta\) equal to the mean of the data in part (a) minus 9. For each sample, calculate the value of \(s^{2}\). Construct a histogram of these 200 values of \(S^{2}\).

(c) Construct a \(q-q\) plot of the two sets of sample variances and compare these two empirical distributions of \(S^{2}\).

Equation Transcription:

 

 

 

Text Transcription:

n=16  

N=200

s^2  

S^2

n=16    

theta

q-q