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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
Ha: Median number of daily crime reports for winter − Median number of daily crime reports for summer = 0
Ha: 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
Ha: Median number of daily crime reports for winter − Median number of daily crime reports for summer < 0
Ha: 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.
Ha: The two populations of daily crime reports are identical.
Ha: 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
Ha: 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.
Ha: The two populations of daily crime reports are not identical.
Ha: 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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