**Statistical Analysis of Crime Reports****Objective:**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.**Hypotheses:**- **Option 1:** - Null Hypothesis ($H_0$): Median number of daily crime reports for winter - Median number of daily crime reports for summer $\geq 0$ - Alternative Hypothesis ($H_a$): Median number of daily crime reports for winter - Median number of daily crime reports for summer $< 0$ - **Option 2:** - Null Hypothesis ($H_0$): Median number of daily crime reports for winter - Median number of daily crime reports for summer $\leq 0$ - Alternative Hypothesis ($H_a$): Median number of daily crime reports for winter - Median number of daily crime reports for summer $> 0$- **Option 3:** - Null Hypothesis ($H_0$): The two populations of daily crime reports are identical. - Alternative Hypothesis ($H_a$): The two populations of daily crime reports are not identical. - **Option 4:** - Null Hypothesis ($H_0$): The two populations of daily crime reports are not identical. - Alternative Hypothesis ($H_a$): The two populations of daily crime reports are identical. - **Option 5:** - Null Hypothesis ($H_0$): Median number of daily crime reports for winter - Median number of daily crime reports for summer $< 0$ - Alternative Hypothesis ($H_a$): Median number of daily crime reports for winter - Median number of daily crime reports for summer $= 0$**Statistical Calculations:**- **Test Statistic:** - Find the value of the test statistic: $W = \underline{\hspace{0.5cm}}$- **p-value:** - Find the p-value (Round your answer to four decimal places): $p\text{-value} = \underline{\hspace{1cm}}$**Conclusion:**- **Decision Options:** - Do not reject $H_0$: There is not sufficient evidence to conclude that there is a significant difference between the **Title: Comparative Analysis of Crime Reports: Winter vs. Summer****Introduction**This study examines whether there is a significant difference in the number of daily crime reports between winter and summer months using a significance level of 0.05.**Data**Police records show the following numbers of daily crime reports for a sample of days during the winter and summer months:| | | | | | | | ||--------|----|----|----|----|----|----|----|| **Winter** | 20 | 19 | 16 | 13 | 20 | 16 | 15 || **Summer** | 17 | 27 | 13 | 29 | 17 | 21 | 27 |**Hypothesis Testing**To determine the difference in crime reports between the seasons, we state null and alternative hypotheses:**Option A:**- $ H_0 $: Median number of daily crime reports for winter = Median number of daily crime reports for summer.- $ H_a $: Median number of daily crime reports for winter ≠ Median number of daily crime reports for summer.**Option B:**- $ H_0 $: The two populations of daily crime reports are identical.- $ H_a $: The two populations of daily crime reports are not identical.**Option C (Two-tailed):**- $ H_0 $: 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.**Option D (Two-tailed):**- $ H_0 $: 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.**Conclusion**Using a detailed statistical analysis of the sample data, the test results will reveal whether to reject the null hypothesis and accept the alternative, indicating a significant difference in crime reports between winter and summer months.

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. O Ho: Median number of daily crime reports for winter - Median number of daily crime reports for summer 2 0 H: Median number of daily crime reports for winter - Median number of daily crime reports for summer < 0 O Ho: Median number of daily crime reports for winter - Median number of daily crime reports for summer s 0 H: Median number of daily crime reports for winter - Median number of daily crime reports for summer > 0 O Ho: The two populations of daily crime reports are identical. H: The two populations of daily crime reports are not identical. O Ho: The two populations of daily crime reports are not identical. H The two populations of daily crime reparts are identical. O Ho: Median number of daily crime reports for winter - Median number of daily crime reports for summer < 0 H: Median number of daily crime reports for winter - Median number of daily crime reports for summer = 0 Find the value of the test statistic. W = Find the p-value. (Round your answwer to four decimal places.) p-value =

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. O Ho: Median number of daily crime reports for winter - Median number of daily crime reports for summer 2 0 H: Median number of daily crime reports for winter - Median number of daily crime reports for summer < 0 O Ho: Median number of daily crime reports for winter - Median number of daily crime reports for summer s 0 H: Median number of daily crime reports for winter - Median number of daily crime reports for summer > 0 O Ho: The two populations of daily crime reports are identical. H: The two populations of daily crime reports are not identical. O Ho: The two populations of daily crime reports are not identical. H The two populations of daily crime reparts are identical. O Ho: Median number of daily crime reports for winter - Median number of daily crime reports for summer < 0 H: Median number of daily crime reports for winter - Median number of daily crime reports for summer = 0 Find the value of the test statistic. W = Find the p-value. (Round your answwer to four decimal places.) p-value =

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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