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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 7.7 - Problem 2e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 7.7 - Problem 2e

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# Consider the following 16 observed values, rounded to the

ISBN: 9780321923271 41

## Solution for problem 2E Chapter 7.7

Probability and Statistical Inference | 9th Edition

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Problem 2E

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

Step-by-Step Solution:
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Consider the following 16 observed values, rounded to the