(d) The insurance company is considering seeking repayment from 1000 claims filed with Jocko's last year. Using your answer to part (c), what repayment would you recommend the insurance company seek? Explain your answer.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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I just need part D) 

For A I got: Mean 114 and SD 114.4018

For B I got: H0 : µd = 0.   Ha : µd ≠ 0  t = 3.15117.  

P-value (two-tailed) = 0.011715472.  and    DF= 9

For C I got:  95% C.I for diff = ( 32.16177, 195.838230)

7.40 Potential insurance fraud? Insurance adjusters
e concerned about the high estimates they are receiving
are
from Jocko's Garage. To see if the estimates are
unreasonably high, each of 10 damaged cars was taken to
Jocko's and to another garage and the estimates (in
dollars) were recorded. Here are the results: JOCKO
2
3
1550
1250
1250 1300 1250
1
Car
Jocko's 1410
Other
Car
6
7
Jocko's 1520 1750
Other
1575 1600
4
1300
1200
5
900
950
8
9
10
3600 2250 2840
3380 2125 2600
(a) For each car, subtract the estimate of the other
garage from Jocko's estimate. Find the mean and the
standard deviation for this difference.
(b) Test the null hypothesis that there is no difference
between the estimates of the two garages. Be sure to
specify the null and alternative hypotheses, the test
statistic with degrees of freedom, and the P-value. What
do you conclude using the 0.05 significance level?
(c) Construct a 95% confidence interval for the difference
in estimates.
(d) The insurance company is considering seeking
repayment from 1000 claims filed with Jocko's last year.
Using your answer to part (c), what repayment would
you recommend the insurance company seek? Explain
your answer.
Transcribed Image Text:7.40 Potential insurance fraud? Insurance adjusters e concerned about the high estimates they are receiving are from Jocko's Garage. To see if the estimates are unreasonably high, each of 10 damaged cars was taken to Jocko's and to another garage and the estimates (in dollars) were recorded. Here are the results: JOCKO 2 3 1550 1250 1250 1300 1250 1 Car Jocko's 1410 Other Car 6 7 Jocko's 1520 1750 Other 1575 1600 4 1300 1200 5 900 950 8 9 10 3600 2250 2840 3380 2125 2600 (a) For each car, subtract the estimate of the other garage from Jocko's estimate. Find the mean and the standard deviation for this difference. (b) Test the null hypothesis that there is no difference between the estimates of the two garages. Be sure to specify the null and alternative hypotheses, the test statistic with degrees of freedom, and the P-value. What do you conclude using the 0.05 significance level? (c) Construct a 95% confidence interval for the difference in estimates. (d) The insurance company is considering seeking repayment from 1000 claims filed with Jocko's last year. Using your answer to part (c), what repayment would you recommend the insurance company seek? Explain your answer.
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