Question

# Name of state Data value State 1 Alabama 2.2 State 2 Arkansas 0.7 State 3 Connecticut...

 Name of state Data value State 1 Alabama 2.2 State 2 Arkansas 0.7 State 3 Connecticut 0.9 State 4 Florida 6.6 State 5 Idaho 0.6 State 6 Iowa 1.2 State 7 Louisiana 2.9 State 8 Massachusetts 1.9 State 9 Mississippi 1.3 State 10 Nebraska 0.5 State 11 New Jersey 2.2 State 12 North Carolina 4.6 State 13 Oklahoma 1.4 State 14 Rhode Island 0.4 State 15 Tennessee 3.4

Analysis:

Compute the mean and standard deviation of the sample data:

Mean =

Standard deviation =

Sample size =

Sample Size = 15

Sample Mean () isgiven by:

 x x - (x - )2 2.2 0.1467 0.0215 0.7 -1.3533 1.8315 0.9 -1.1533 1.3302 6.6 4.5467 20.6722 0.6 -1.4533 2.1122 1.2 -0.8533 0.7282 2.9 0.8467 0.7168 1.9 -0.1533 0.0235 1.3 -0.7533 0.5675 0.5 -1.5533 2.4128 2.2 0.1467 0.0215 4.6 2.5467 0.4855 1.4 -0.6533 0.4268 0.4 -1.6533 2.7335 3.4 1.3467 1.8135 Total = 41.8973

Sample Standard Deviation (s) is given by:

Mean = 2.0533

Standard Deviation = 1.7299

Sample Size = 15

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