Question

Paul carried out 1000 bootstrap replications using computer and obtained the following bootstrap distribution of sample means. The bootstrap standard error is given by 1.843. 50 40 30 20 10 15 16 13 10 10.974 Using the 95% rule, what is the 95% confidence interval for the population mean μ of the daily number of crime incidents in Sydney (rounded to one dp.)? Α) (5.9, 15.5) B) (6.3, l 5.0) C) (73,14.7) D) (7.6,142) 14. E) (8.0.14.0) Using the percentile method, what is the 98% confidence interval for μ (rounded to one dp)? A) (5.9, 15.5) B) (6.3, 15.0) C173, 14.7) D) (7.6, 14.2) E) (8.0, 14.0 15. Using the percentile method, what is the 99% confidence interval for μ (rounded to one dp.)? A) (5.9, 15.5) B (6.3, 15.0) C) (7.3, 14.7) D)(7.6, 14.2) (8.0, 14.0) 16.

Answer 1

$\mu=10.974, SE=1.843$

$\\95\% \text{confidence interval is given by} \\ \mu \pm 1.96 *SE\\ =10.974 \pm 1.96*1.843\\ =(7.36172,14.58628)$Option c