MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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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