Are Southern and Western states equally prone to fatal lightning strikes? The National Weather Service maintains a database that provides information on lightning strike fatalities by state. The number of lightning strike fatalities from 2010 to 2014 for Southern and Western states are shown as follows. (National Weather Service website, April 2015). Use Table 1 of Appendix B. Click on the datafile logo to reference the data. DATA File
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Compute the mean and standard deviation of the normal distribution that can be used for the statistical test:
Given data represents the fatalities of Southern state and Western state.
The investigator is interested to test whether the Southern and Western states are equally prone to fatal lightning strikes or not.
The test hypotheses are stated below:
Null hypothesis H0:
H0: There is no significant difference in the distributions of lightning fatalities of the two states.
Alternative hypothesis H1:
H1: There is a significant difference in the distributions of lightning fatalities of the two states. (Two tailed test)
The level of significance is given as α = 0.05.
The required calculations to compute the mean and standard deviation are given below:
|
Southern state |
Ranks of Southern state |
Western state |
Ranks of Western state |
|
5 |
18 |
9 |
22 |
|
3 |
13.5 |
3 |
13.5 |
|
17 |
23 |
1 |
7 |
|
7 |
20 |
1 |
7 |
|
5 |
18 |
1 |
7 |
|
5 |
18 |
0 |
2.5 |
|
2 |
11 |
1 |
7 |
|
4 |
15.5 |
4 |
15.5 |
|
1 |
7 |
0 |
2.5 |
|
2 |
11 |
2 |
11 |
|
0 |
2.5 |
|
|
|
8 |
21 |
|
|
|
0 |
2.5 |
|
|
|
|
Total = 181 |
|
Total = 95 |
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