Many people purchase SUV because they think they are sturdier and hence safer than regular cars ...

Many people purchase SUV because they think they are sturdier and hence safer than regular cars. However data have indicated that the costs of repair of SUV are higher that midsize cars when both cars are in an accident. A random sample of 8 new SUV and midsize cars is tested for front impact resistance. The amount of damage in hundreds of dollars to the vehicles when crashed at 20mph are recorded below.

Questions: 1. Is this an independent data or paired?

2. Which non-parametric test will be appropriate. Rank the data using table

3. formally test to determine if there is a difference in the distribution of cost of repairs for the cars use nonparametric test critical rejection region and alpha =0.5

4.what is the p-value compared to the test statistics

car         1           2         3          4           5          6          7       8

SUv     14.23 12.47 14.00   13.17   27.48   12.42   32.58   12.98

midsize 11.97   11.42 13. 27   9.87 10.12   10.36   12.65   25.23