Data on the numbers of hospital admissions resulting from motor vohicle crashes are givon 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 diforoncos have a distrbution that is approximately nomal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the Friday the 6th 5 Friday the 13th 11 15 15 11 In this example, . 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. (Round to two decimal places as needed.)
Data on the numbers of hospital admissions resulting from motor vohicle crashes are givon 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 diforoncos have a distrbution that is approximately nomal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the Friday the 6th 5 Friday the 13th 11 15 15 11 In this example, . 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. (Round to two decimal places as needed.)
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 and Explanation for Educational Website:**
**Data on Hospital Admissions from Motor Vehicle Crashes**
The table below presents data on the number of hospital admissions resulting from motor vehicle crashes for Fridays on the 6th of a month and Fridays on the following 13th of the same month. This is to assess whether there is a notable difference between these two Fridays. Assume that the paired sample data is a simple random sample and that the differences follow an approximately normal distribution.
**Objective:**
Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use this interval to test whether the number of hospital admissions on the 13th is affected compared to the 6th.
---
**Data Table:**
| Day | Number of Admissions |
|--------------------|----------------------|
| Friday the 6th | 9, 11, 11, 8, 5, 7, 15, 12 |
| Friday the 13th | 11, 13, 14, 10, 6, 8, 15, 12 |
*In this example, \( \mu_d \) is the mean value of the differences for the population of all pairs of data. Each individual difference, \( d \), is defined as the number of hospital admissions on Friday the 6th minus those on Friday the 13th.*
**Task:**
- Find the 95% confidence interval.
**Confidence Interval Calculation:**
\[ \text{Calculate } \, \mu_d \]
\[ \_\_\_\_\_\_\_\_\_ < \mu_d < \_\_\_\_\_\_\_\_\_ \]
*(Round to two decimal places as needed.)*
**Graph/Diagram Explanation:**
No graph or diagram is provided in this text image. The table above and subsequent calculations are used to derive insights about the differences in hospital admissions between the two specified Fridays.
---
**Conclusion:**
Through this analysis, determine if the superstition regarding Friday the 13th has any statistical impact on the number of hospital admissions due to motor vehicle crashes. Compare confidence intervals to see if the difference is statistically significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F740a4bca-4536-466f-8fb5-22c7f56f9691%2Fbe56af73-8a78-4dc1-ab66-7d6f5c70deef%2Fuqzyfc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription and Explanation for Educational Website:**
**Data on Hospital Admissions from Motor Vehicle Crashes**
The table below presents data on the number of hospital admissions resulting from motor vehicle crashes for Fridays on the 6th of a month and Fridays on the following 13th of the same month. This is to assess whether there is a notable difference between these two Fridays. Assume that the paired sample data is a simple random sample and that the differences follow an approximately normal distribution.
**Objective:**
Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use this interval to test whether the number of hospital admissions on the 13th is affected compared to the 6th.
---
**Data Table:**
| Day | Number of Admissions |
|--------------------|----------------------|
| Friday the 6th | 9, 11, 11, 8, 5, 7, 15, 12 |
| Friday the 13th | 11, 13, 14, 10, 6, 8, 15, 12 |
*In this example, \( \mu_d \) is the mean value of the differences for the population of all pairs of data. Each individual difference, \( d \), is defined as the number of hospital admissions on Friday the 6th minus those on Friday the 13th.*
**Task:**
- Find the 95% confidence interval.
**Confidence Interval Calculation:**
\[ \text{Calculate } \, \mu_d \]
\[ \_\_\_\_\_\_\_\_\_ < \mu_d < \_\_\_\_\_\_\_\_\_ \]
*(Round to two decimal places as needed.)*
**Graph/Diagram Explanation:**
No graph or diagram is provided in this text image. The table above and subsequent calculations are used to derive insights about the differences in hospital admissions between the two specified Fridays.
---
**Conclusion:**
Through this analysis, determine if the superstition regarding Friday the 13th has any statistical impact on the number of hospital admissions due to motor vehicle crashes. Compare confidence intervals to see if the difference is statistically significant.
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