Question

Are Southern and Western states equally prone to fatal lightning strikes? Suppose the number of lightning...

Are Southern and Western states equally prone to fatal lightning strikes? Suppose the number of lightning strike fatalities over a 5-year period for Southern and Western states are shown as follows.

Southern
State
Fatalities
AL 5
AR 1
FL 17
GA 7
KY 5
LA 5
MS 4
NC 3
OK 2
SC 4
TN 0
TX 9
VA 0
Western
State
Fatalities
AZ 6
CA 1
ID 2
MT 2
NM 2
NV 0
OR 2
UT 3
WA 0
WY 4

Use α = 0.05 and test to determine whether the distribution of lightning fatalities is the same for these two regions.

Find the value of the test statistic:

W = ?

Homework Answers

Answer #1

Ho: the distribution of lightning fatalities is the same for these two regions

H1: the distribution of lightning fatalities is the not same for these two regions

wilxocon rank sum test

sample 1 sample 2 rank for sample 1 rank for sample 2
5 6 18 20
1 1 5.5 5.5
17 2 23 9
7 2 21 9
5 2 18 9
5 0 18
4 2 15 9
3 3 12.5 12.5
2 0 9
4 4 15 15
0
9 22
0

sample 1

sample size , n1 = 13

sum of ranks , R1 = 177

sample 2

sample size , n2 = 10

sum of ranks ,R2 = 89

W=sum of ranks for smaller sample size =89

value of the test statistic:

W =89

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