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). [5 points] Compute the mean estimate for Jocko and the mean estimate for the other
garage. Report the dierence in the means and the 95% condence 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). [7 points] 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). [8 points] Use a bootstrap scheme to find the confidence interval of the difference.
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). [5 points] Compare the t interval with the bootstrap interval.
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