In: Statistics and Probability
Compute 95% bootstrap confidence intervals for the mean time between failures 1/λ by the standard normal, basic, percentile, and BCa methods. Compare the intervals and explain why they may differ.
3, 5, 7, 18, 43, 85, 91, 98, 100, 130, 230, 487.
Use R software and provide with codes
R-code:
The 95% confidence interval for 1/lambda is between 23.5 and 170.6 by Basic method
The 95% confidence interval for 1/lambda is between 45.6 and 192.7 by Percentile method
The 95% confidence interval for 1/lambda is between 54.8 and 222.9 by BCa method