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 2 FL 16 GA 6 KY 5 LA 5 MS 3 NC 4 OK 1 SC 3 TN 0 TX 9 VA 0 Western State Fatalities AZ 7 CA 2 ID 1 MT 1 NM 1 NV 0 OR 1 UT 4 WA 0 WY 3 Use ? = 0.05 and test to determine whether the distribution of lightning fatalities is the same for these two regions. State the null and alternative hypotheses. H0: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states ≤ 0 Ha: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states > 0H0: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states ≥ 0 Ha: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states < 0 H0: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states > 0 Ha: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states = 0H0: The two populations of lightning fatalities are identical. Ha: The two populations of lightning fatalities are not identical.H0: The two populations of lightning fatalities are not identical. Ha: The two populations of lightning fatalities are identical. Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Reject H0. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.Reject H0. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. Do not reject H0. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.Do not reject H0. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.

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 2 FL 16 GA 6 KY 5 LA 5 MS 3 NC 4 OK 1 SC 3 TN 0 TX 9 VA 0 Western State Fatalities AZ 7 CA 2 ID 1 MT 1 NM 1 NV 0 OR 1 UT 4 WA 0 WY 3 Use ? = 0.05 and test to determine whether the distribution of lightning fatalities is the same for these two regions. State the null and alternative hypotheses. H0: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states ≤ 0 Ha: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states > 0H0: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states ≥ 0 Ha: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states < 0 H0: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states > 0 Ha: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states = 0H0: The two populations of lightning fatalities are identical. Ha: The two populations of lightning fatalities are not identical.H0: The two populations of lightning fatalities are not identical. Ha: The two populations of lightning fatalities are identical. Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Reject H0. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.Reject H0. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. Do not reject H0. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.Do not reject H0. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	2
FL	16
GA	6
KY	5
LA	5
MS	3
NC	4
OK	1
SC	3
TN	0
TX	9
VA	0

Western State	Fatalities
AZ	7
CA	2
ID	1
MT	1
NM	1
NV	0
OR	1
UT	4
WA	0
WY	3

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

State the null and alternative hypotheses.

H₀: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states ≤ 0
H_a: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states > 0H₀: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states ≥ 0
H_a: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states < 0 H₀: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states > 0
H_a: Median number of lightning fatalities for Southern states − Median number of lightning fatalities for Western states = 0H₀: The two populations of lightning fatalities are identical.
H_a: The two populations of lightning fatalities are not identical.H₀: The two populations of lightning fatalities are not identical.
H_a: The two populations of lightning fatalities are identical.

Find the value of the test statistic.

W =

Find the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Reject H₀. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.Reject H₀. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. Do not reject H₀. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.Do not reject H₀. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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