The following table are median household income data for 50 states plus Puerto Rico and Washington D.C.

a) Test at 5% level of significance if these observations follow a uniform distribution with pdf f(y)=1/80000, 20000

b) Test at 5% level of significance if these observations follow a normal distribution.

C F G B 1 State Income 2 Alabama 48486 3 Alaska 76715 4 Arizona 56213 5 Arkanas 45726 6 California 71228 7 Colorado 68811 8 Connecticut 76106 9 Delaware 65627 10 Florida 53267 11 Georgia 55679 12 hawaii 78084 13 Idaho 53089 14 Illinois 63575 15 Indiana 54325 16 lowa 58580 17 Kansas 57422 18 Kentucky 48392 19 Louisiana 47942 20 Maine 55425 21 Maryland 81868 D State Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Puerto Rico Rhode Island South Carolina E Income 77378 54938 68411 43567 53560 52559 59116 57598 74057 79363 65323 52413 63473 54533 51424 59393 59445 20166 63296 51015 State South Dakota Tennessee Texas Utah Vermont Virginia Washington Washington D.C. West Virginia Wisconsion Wyoming New Mexico H Income 56499 50972 59570 68374 60076 71564 70116 82604 44921 59209 62268 48059 Sheet1 C F G B 1 State Income 2 Alabama 48486 3 Alaska 76715 4 Arizona 56213 5 Arkanas 45726 6 California 71228 7 Colorado 68811 8 Connecticut 76106 9 Delaware 65627 10 Florida 53267 11 Georgia 55679 12 hawaii 78084 13 Idaho 53089 14 Illinois 63575 15 Indiana 54325 16 lowa 58580 17 Kansas 57422 18 Kentucky 48392 19 Louisiana 47942 20 Maine 55425 21 Maryland 81868 D State Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Puerto Rico Rhode Island South Carolina E Income 77378 54938 68411 43567 53560 52559 59116 57598 74057 79363 65323 52413 63473 54533 51424 59393 59445 20166 63296 51015 State South Dakota Tennessee Texas Utah Vermont Virginia Washington Washington D.C. West Virginia Wisconsion Wyoming New Mexico H Income 56499 50972 59570 68374 60076 71564 70116 82604 44921 59209 62268 48059 Sheet1