# Question: Consider the following 16 observed values rounded to the nearest

Consider the following 16 observed values, rounded to the nearest tenth, from the exponential distribution that was given in this section:

(a) Take re-samples of size n = 16 from these observations about N = 200, times and compute s2 each time. Construct a histogram of these 200 bootstrapped values of s2.

(b) Simulate N = 200 random samples of size n = 16 from an exponential distribution with θ equal to the mean of the data in part (a) minus 9. For each sample, calculate the value of s2. Construct a histogram of these 200 values of s2.

(c) Construct a q–q plot of the two sets of sample variances and compare these two empirical distributions of s2.

(a) Take re-samples of size n = 16 from these observations about N = 200, times and compute s2 each time. Construct a histogram of these 200 bootstrapped values of s2.

(b) Simulate N = 200 random samples of size n = 16 from an exponential distribution with θ equal to the mean of the data in part (a) minus 9. For each sample, calculate the value of s2. Construct a histogram of these 200 values of s2.

(c) Construct a q–q plot of the two sets of sample variances and compare these two empirical distributions of s2.

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