Answered: Police records show the following…

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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Police records show the following numbers of daily crime reports for a sample of days during the winter months and a sample of days during the summer months.

Winter	Summer
17	27
20	17
15	24
18	32
23	17
20	26
12	21
18	37
16	27
20	17

Use a 0.05 level of significance to determine whether there is a significant difference between the winter and summer months in terms of the number of crime reports.

State the null and alternative hypotheses.

H₀: Median number of daily crime reports for winter − Median number of daily crime reports for summer < 0
H_a: Median number of daily crime reports for winter − Median number of daily crime reports for summer = 0

H₀: Median number of daily crime reports for winter − Median number of daily crime reports for summer ≥ 0
H_a: Median number of daily crime reports for winter − Median number of daily crime reports for summer < 0

H₀: The two populations of daily crime reports are not identical.
H_a: The two populations of daily crime reports are identical.

H₀: Median number of daily crime reports for winter − Median number of daily crime reports for summer ≤ 0

H_a: Median number of daily crime reports for winter − Median number of daily crime reports for summer > 0

H₀: The two populations of daily crime reports are identical.
H_a: The two populations of daily crime reports are not 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?

Do not reject H₀. There is not sufficient evidence to conclude that there is a significant difference between the winter and summer months in terms of the number of crime reports.

Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference between the winter and summer months in terms of the number of crime reports.

Reject H₀. There is sufficient evidence to conclude that there is a significant difference between the winter and summer months in terms of the number of crime reports.

Reject H₀. There is not sufficient evidence to conclude that there is a significant difference between the winter and summer months in terms of the number of crime reports.

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