1. Insurance adjusters are concerned about the high estimates they are receiving 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:
Car | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Jocko's | 1410 | 1550 | 1250 | 1300 | 900 | 1520 | 1750 | 3600 | 2250 | 2840 |
Other | 1250 | 1300 | 1250 | 1200 | 950 | 1575 | 1600 | 3380 | 2125 | 2600 |
a) For each car, subtract the estimate of the other garage from Jocko's estimate.
b) Find the mean of the differences. Report as an integer.
c) Find the standard deviation of the differences. Report to one decimal place.
d) Find the degrees of freedom. Report as an integer.
e) Find the test statistic. Report to 2 decimal places and don't forget the sign if negative.
f) Test the null hypothesis that there is no difference between estimates of the two garages. What are the null and alternative hypotheses?
g) What is the range for the p-value?
h) Is there evidence that the estimates from Jocko's are different from the other garage? yes or no
i) Find the 95% margin of error. Report to two decimal places.
Answer:---
a):---
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