7.25 Friday the 13th, Part II. The Friday the 13th study reported in Exercise 7.23 also provides data on traffic accident related emergency room admissions. The distributions of these counts from Friday the 6th and Friday the 13th are shown below for six such paired dates along with summary statistics. You may assume that conditions for inference are met. 2 2 2 0 0 5 10 10 -5 0 Difference Friday the 6th Friday the 13th 6th 13th diff 7.5 10.83 -3.33 3.33 3.6 3.01 6 6 6 Mean SD n 5
7.25 Friday the 13th, Part II. The Friday the 13th study reported in Exercise 7.23 also provides data on traffic accident related emergency room admissions. The distributions of these counts from Friday the 6th and Friday the 13th are shown below for six such paired dates along with summary statistics. You may assume that conditions for inference are met. 2 2 2 0 0 5 10 10 -5 0 Difference Friday the 6th Friday the 13th 6th 13th diff 7.5 10.83 -3.33 3.33 3.6 3.01 6 6 6 Mean SD n 5
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What is the standard error for this problem, not using the pooled values

Transcribed Image Text:### 7.25 Friday the 13<sup>th</sup>, Part II
The study in Exercise 7.23 provides additional data on traffic accident-related emergency room admissions, comparing distributions from Friday the 6<sup>th</sup> and Friday the 13<sup>th</sup> across six paired dates. The summarized data, including graphs and key statistics, is detailed below.
#### Graphical Representations:
1. **Friday the 6<sup>th</sup> Histogram**:
- The x-axis represents the number of admissions.
- The y-axis represents the frequency count of these admissions.
- Bimodal distribution with higher frequencies around 3-6 and 9-12 admissions.
2. **Friday the 13<sup>th</sup> Histogram**:
- Similar x-axis and y-axis configurations as the first graph.
- Majority of the frequencies are clustered around higher admission counts (about 9-12).
3. **Difference (Friday the 13<sup>th</sup> - Friday the 6<sup>th</sup>) Histogram**:
- The x-axis represents the difference in the number of admissions between the two dates.
- The y-axis represents the frequency count of these differences.
- Most differences are negative, indicating typically higher admissions on Friday the 13<sup>th</sup> compared to Friday the 6<sup>th</sup>.
#### Summary Statistics:
| | 6<sup>th</sup> | 13<sup>th</sup> | Difference |
|----------|---------|---------|-------------|
| **Mean** | 7.5 | 10.83 | -3.33 |
| **SD** | 3.33 | 3.6 | 3.01 |
| **n** | 6 | 6 | 6 |
- **Mean** values indicate the average number of emergency room admissions for each date.
* Friday the 6<sup>th</sup>: 7.5 admissions
* Friday the 13<sup>th</sup>: 10.83 admissions
* Difference: -3.33 (indicating higher admissions on Fridays the 13<sup>th</sup>)
- **SD** (Standard Deviation) shows the variability in
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