(Using R language) The USArrests_Coasts data set is attached to the homework assignment in Blackboard (Pasted below). Using the USArrests_Coasts data, does the East Coast states suffer more violent crime than all other states? The East Coast states are marked as such. State your null and alternative hypotheses and perform one-tail t-tests for murder, assault, and rape. Explain your results.

database

City Murder Assault UrbanPop Rape EastCoast WestCoast AnyCoast

1 Alabama 13.2 236 58 21.2 No No Yes

2 Alaska 10.0 263 48 44.5 No Yes Yes

3 Arizona 8.1 294 80 31.0 No No No

4 Arkansas 8.8 190 50 19.5 No No No

5 California 9.0 276 91 40.6 No Yes Yes

6 Colorado 7.9 204 78 38.7 No No No

7 Connecticut 3.3 110 77 11.1 Yes No Yes

8 Delaware 5.9 238 72 15.8 Yes No Yes

9 Florida 15.4 335 80 31.9 Yes No Yes

10 Georgia 17.4 211 60 25.8 Yes No Yes

11 Hawaii 5.3 46 83 20.2 No Yes Yes

12 Idaho 2.6 120 54 14.2 No No No

13 Illinois 10.4 249 83 24.0 No No No

14 Indiana 7.2 113 65 21.0 No No No

15 Iowa 2.2 56 57 11.3 No No No

16 Kansas 6.0 115 66 18.0 No No No

17 Kentucky 9.7 109 52 16.3 No No No

18 Louisiana 15.4 249 66 22.2 No No Yes

19 Maine 2.1 83 51 7.8 Yes No Yes

20 Maryland 11.3 300 67 27.8 Yes No Yes

21 Massachusetts 4.4 149 85 16.3 Yes No Yes

22 Michigan 12.1 255 74 35.1 No No No

23 Minnesota 2.7 72 66 14.9 No No No

24 Mississippi 16.1 259 44 17.1 No No Yes

25 Missouri 9.0 178 70 28.2 No No No

26 Montana 6.0 109 53 16.4 No No No

27 Nebraska 4.3 102 62 16.5 No No No

28 Nevada 12.2 252 81 46.0 No No No

29 New Hampshire 2.1 57 56 9.5 Yes No Yes

30 New Jersey 7.4 159 89 18.8 Yes No Yes

31 New Mexico 11.4 285 70 32.1 No No No

32 New York 11.1 254 86 26.1 Yes No Yes

33 North Carolina 13.0 337 45 16.1 No No Yes

34 North Dakota 0.8 45 44 7.3 No No No

35 Ohio 7.3 120 75 21.4 No No No

36 Oklahoma 6.6 151 68 20.0 No No No

37 Oregon 4.9 159 67 29.3 No Yes Yes

38 Pennsylvania 6.3 106 72 14.9 Yes No Yes

39 Rhode Island 3.4 174 87 8.3 Yes No Yes

40 South Carolina 14.4 279 48 22.5 Yes No Yes

41 South Dakota 3.8 86 45 12.8 No No No

42 Tennessee 13.2 188 59 26.9 No No No

43 Texas 12.7 201 80 25.5 No No Yes

44 Utah 3.2 120 80 22.9 No No No

45 Vermont 2.2 48 32 11.2 Yes No Yes

46 Virginia 8.5 156 63 20.7 Yes No Yes

47 Washington 4.0 145 73 26.2 No Yes Yes

48 West Virginia 5.7 81 39 9.3 No No No

49 Wisconsin 2.6 53 66 10.8 No No No

50 Wyoming 6.8 161 60 15.6 No No No