Refer to the Nuclear Energy Institute's list of all states with active nuclear power plants, Exercise 2.54. The data on number of power plants per state are reproduced in the accompanying table. Note that states not listed have 0 active nuclear power plants.
a. Compute the average number of power plants per state for all 50 states. Explain why this value represents , the population mean number of active power plants per state.
b. Use a random number generator to select a random sample of 5 from the 50 states. Give the number of active nuclear power plants for each of these 5 states.
c. Use the sample data, part b, to test the claim that the mean number of active nuclear power plants operating in all states differs from 1.24? Test using a = .10.
d. Give at least two reasons why you may have falsely rejected the null hypothesis in part c.
State Number
1 Alabama..........................................2
2 Arizona...........................................1
3 Arkansas.........................................1
4 California........................................1
5 Connecticut.....................................1
6 Florida............................................3
7 Georgia...........................................2
8 Illinois.............................................6
9 Iowa................................................1
10 Kansas...........................................1
11 Louisiana.......................................2
12 Maryland.......................................1
13 Massachusetts.................................1
14 Michigan.......................................3
15 Minnesota......................................2
16 Mississippi.....................................1
17 Missouri........................................1
18 Nebraska........................................2
19 New Hampshire...............................1
20 New Jersey....................................3
21 New York.....................................4
22 North Carolina................................3
23 Ohio.............................................2
24 Pennsylvania..................................5
25 South Carolina................................4
26 Tennessee......................................2
27 Texas............................................2
28 Virginia........................................2
29 Washington....................................1
30 Wisconsin......................................1