Construct a gamma probability plot for the data of Problem 46 of Chapter 8. Reference...

Construct a gamma probability plot for the data of Problem 46 of Chapter 8.

Reference

a. Make a histogram of the 210 values of ti . Does it appear that a gamma distribution would be a plausible model to fit?

b. Fit the parameters of the gamma distribution by the method of moments.

c. Fit the parameters of the gamma distribution by maximum likelihood. How do these values compare to those found before?

d. Plot the two gamma densities on top of the histogram. Do the fits look reasonable?

e. Estimate the sampling distributions and the standard errors of the parameters fit by the method of moments by using the bootstrap.

f. Estimate the sampling distributions and the standard errors of the parameters fit by maximum likelihood by using the bootstrap. How do they compare to the results found previously?

g. Find approximate confidence intervals for the parameters estimated by maximum likelihood.