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Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interva to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th Friday the 13th 7 14 5 15 Pa (Round to two decimal places as needed.) *** 6 12 12 15 10 13 In this example, "a is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval.

Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interva to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th Friday the 13th 7 14 5 15 Pa (Round to two decimal places as needed.) *** 6 12 12 15 10 13 In this example, "a is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval.

MATLAB: An Introduction with Applications
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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**Transcription for Educational Website** **Analysis of Hospital Admissions on Friday the 6th and Friday the 13th** This text presents data on the numbers of hospital admissions resulting from motor vehicle crashes for two specific Fridays: the 6th and the 13th of a month. The table below shows the admissions for Fridays on the 6th and the following Friday the 13th of the same month. It is assumed that this paired sample data is a simple random sample, and the differences follow an approximately normal distribution. The goal is to construct a 95% confidence interval estimate of the mean of the population of differences between the hospital admissions on these two dates. This analysis helps investigate the claim that when the 13th day of a month falls on a Friday, the number of hospital admissions from motor vehicle crashes remains unaffected. **Data Table:** - **Friday the 6th:** 7, 5, 6, 12, 10 - **Friday the 13th:** 14, 15, 12, 15, 13 **Statistical Analysis:** In this analysis, \( \mu_d \) represents the mean value of the differences \( d \) for all pairs of data. Each individual difference \( d \) is defined as the number of hospital admissions on Friday the 6th subtracted from the number of hospital admissions on Friday the 13th. **Task:** - Find the 95% confidence interval for the mean difference \( \mu_d \). **Notation:** - \( \_\_\_ < \mu_d < \_\_\_ \) **Instructions:** - Round your answers to two decimal places as needed.
Transcribed Image Text:**Transcription for Educational Website** **Analysis of Hospital Admissions on Friday the 6th and Friday the 13th** This text presents data on the numbers of hospital admissions resulting from motor vehicle crashes for two specific Fridays: the 6th and the 13th of a month. The table below shows the admissions for Fridays on the 6th and the following Friday the 13th of the same month. It is assumed that this paired sample data is a simple random sample, and the differences follow an approximately normal distribution. The goal is to construct a 95% confidence interval estimate of the mean of the population of differences between the hospital admissions on these two dates. This analysis helps investigate the claim that when the 13th day of a month falls on a Friday, the number of hospital admissions from motor vehicle crashes remains unaffected. **Data Table:** - **Friday the 6th:** 7, 5, 6, 12, 10 - **Friday the 13th:** 14, 15, 12, 15, 13 **Statistical Analysis:** In this analysis, \( \mu_d \) represents the mean value of the differences \( d \) for all pairs of data. Each individual difference \( d \) is defined as the number of hospital admissions on Friday the 6th subtracted from the number of hospital admissions on Friday the 13th. **Task:** - Find the 95% confidence interval for the mean difference \( \mu_d \). **Notation:** - \( \_\_\_ < \mu_d < \_\_\_ \) **Instructions:** - Round your answers to two decimal places as needed.
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