A runner for team 1 can run a race in 54.6 seconds. Team 1 has running times with a mean of 52.1 seconds and a standard deviation of 2.09 seconds. A runner for team 2 can run a race in 53.7 seconds. Team 2 has running times with a mean of 51.2 seconds and a standard deviation of 3.53 seconds. Which runner is faster? (this is not a trick question...no statistics involved here) O runner for team 1 O runner for team 2 What is the z-score associated with the running time of runner for team 1? Round final answer to two decimal places.
A runner for team 1 can run a race in 54.6 seconds. Team 1 has running times with a mean of 52.1 seconds and a standard deviation of 2.09 seconds. A runner for team 2 can run a race in 53.7 seconds. Team 2 has running times with a mean of 51.2 seconds and a standard deviation of 3.53 seconds. Which runner is faster? (this is not a trick question...no statistics involved here) O runner for team 1 O runner for team 2 What is the z-score associated with the running time of runner for team 1? Round final answer to two decimal places.
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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![**Title: Understanding Z-Scores with Running Times**
**Introduction**
In this exercise, we explore the concept of Z-scores in the context of running times for two teams. This lesson will help you understand how to compare individual performance against group performance using statistics.
**Scenario**
- A runner for Team 1 can run a race in 54.6 seconds. Team 1 has running times with a mean of 52.1 seconds and a standard deviation of 2.09 seconds.
- A runner for Team 2 can run a race in 53.7 seconds. Team 2 has running times with a mean of 51.2 seconds and a standard deviation of 3.53 seconds.
**Which Runner is Faster?**
*(This is not a trick question... no statistics involved here)*
- [ ] Runner for Team 1
- [ ] Runner for Team 2
**Calculating Z-Scores**
By calculating Z-scores, we can determine how each runner's performance compares to their team's average.
1. **Z-Score for Runner from Team 1**
Calculate and round your answer to two decimal places.
[Input Box]
2. **Z-Score for Runner from Team 2**
Calculate and round your answer to two decimal places.
[Input Box]
**Which Runner is Faster Relative to Their Corresponding Populations?**
*(Now you have to use statistics)*
- [ ] Runner for Team 1
- [ ] Runner for Team 2
For assistance, click on "Message Instructor."
**Conclusion**
Submit your answers to see how well you can analyze statistical data using Z-scores.
[Submit Question Button] [Jump to Answer Link]
This activity will enrich your understanding of statistics in everyday contexts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4601294f-f03d-49e2-bb16-63f181592605%2F775ad66c-1454-4213-acd5-dcefae341fee%2Fo8egno_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Z-Scores with Running Times**
**Introduction**
In this exercise, we explore the concept of Z-scores in the context of running times for two teams. This lesson will help you understand how to compare individual performance against group performance using statistics.
**Scenario**
- A runner for Team 1 can run a race in 54.6 seconds. Team 1 has running times with a mean of 52.1 seconds and a standard deviation of 2.09 seconds.
- A runner for Team 2 can run a race in 53.7 seconds. Team 2 has running times with a mean of 51.2 seconds and a standard deviation of 3.53 seconds.
**Which Runner is Faster?**
*(This is not a trick question... no statistics involved here)*
- [ ] Runner for Team 1
- [ ] Runner for Team 2
**Calculating Z-Scores**
By calculating Z-scores, we can determine how each runner's performance compares to their team's average.
1. **Z-Score for Runner from Team 1**
Calculate and round your answer to two decimal places.
[Input Box]
2. **Z-Score for Runner from Team 2**
Calculate and round your answer to two decimal places.
[Input Box]
**Which Runner is Faster Relative to Their Corresponding Populations?**
*(Now you have to use statistics)*
- [ ] Runner for Team 1
- [ ] Runner for Team 2
For assistance, click on "Message Instructor."
**Conclusion**
Submit your answers to see how well you can analyze statistical data using Z-scores.
[Submit Question Button] [Jump to Answer Link]
This activity will enrich your understanding of statistics in everyday contexts.
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