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 interval 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. a. In this example, mu Subscript d 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.less thanmu Subscript dless thanenter your response here(Round to two decimal places as needed.) ### Analysis of Data on Two Different FridaysThe table presents numerical data for two specific Fridays: the 6th and the 13th. Below is a summary of the information:#### Friday the 6th- **First Value:** 4- **Second Value:** 10- **Third Value:** 10- **Fourth Value:** 9- **Fifth Value:** 4#### Friday the 13th- **First Value:** 13- **Second Value:** 15- **Third Value:** 11- **Fourth Value:** 13- **Fifth Value:** 14### AnalysisThis data illustrates a comparison between two Fridays in terms of the values represented, which could be indicative of a specific metric or measure. Each Friday shows five values, and Friday the 13th consistently has higher values compared to Friday the 6th across all categories. This may suggest increased activity, quantity, or another measurable factor on the 13th relative to the 6th.### ConclusionUnderstanding the context and reason behind these numbers would require further details on what is being measured or tracked. However, the pattern indicates a notable difference between the two Fridays which could be useful for analysis or decision-making depending on the underlying data subject.

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Answered: Data on the numbers of hospital…

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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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 interval 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.

a. In this example, mu Subscript d 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.

less thanmu Subscript dless thanenter your response here

(Round to two decimal places as needed.)

### Analysis of Data on Two Different Fridays

The table presents numerical data for two specific Fridays: the 6th and the 13th. Below is a summary of the information:

#### Friday the 6th
- **First Value:** 4
- **Second Value:** 10
- **Third Value:** 10
- **Fourth Value:** 9
- **Fifth Value:** 4

#### Friday the 13th
- **First Value:** 13
- **Second Value:** 15
- **Third Value:** 11
- **Fourth Value:** 13
- **Fifth Value:** 14

### Analysis
This data illustrates a comparison between two Fridays in terms of the values represented, which could be indicative of a specific metric or measure. Each Friday shows five values, and Friday the 13th consistently has higher values compared to Friday the 6th across all categories. This may suggest increased activity, quantity, or another measurable factor on the 13th relative to the 6th.

### Conclusion
Understanding the context and reason behind these numbers would require further details on what is being measured or tracked. However, the pattern indicates a notable difference between the two Fridays which could be useful for analysis or decision-making depending on the underlying data subject.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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