Question

The following data represent the repair cost for a​ low-impact collision in a simple random sample of​ mini- and​ micro-vehicles. Construction a​ 95% confidence interval for the mean repair cost of a​ low-impact collision involving​ mini- and​ micro-vehicles using the Bootstrap​ t-Method and 200 resamples. 3051 1784 1117 3340 728 2125 648 2624 752 1429.

The lower bound of the bootstrap interval is ______ and the upper bound is ______

Answer 1

From the given sample data : n= 10 , ,

The sample mean is ,

The sample standard deviation is ,

Now , df=degrees of freedom=n-1=10-1=9

The critical value is ,

; From t-table

Therefore , the 95% confidence interval for the mean repair cost of a​ low-impact collision involving​ mini- and​ micro-vehicles is ,