Compare the t interval with the bootstrap interval, Applied Statistics

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Jocko's Garage has been accused of insurance fraud. Data on estimates made by Jocko and another garage were obtained for 10 damaged vehicles (available in 'jockogarage.txt'). Here is what the investigators found

Car          1             2           3           4          5
Jocko's     1375     1550     1250        1300     900
Other       1250     1300     1250        1200     950
Car           6            7          8             9        10
Jocko's     1500     1750     3600       2250     2800
Other       1575     1600     3300       2125     2600

(a). Compute the mean estimate for Jocko and the mean estimate for the other garage. Report the di erence in the means and the 95% con dence interval used on the t procedure. Be sure to choose the appropriate t procedure for your analysis and explain why you made this choice.

(b). Use a non-parametric tool discussed in this course to test if the average estimate from Jocko's is larger than the other garage for 100.
Hint: No! I am sure that the problem is NOT wrong.

(c). Use a bootstrap scheme to nd the con dence interval of the di erence. Be sure to provide details (since I need to replicate your result if necessary) about how you used the bootstrap and explain why it is reasonable briefly.

(d).Compare the t interval with the bootstrap interval


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