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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**Simulation of Tennis Serve Accuracy**

A professional tennis player claims to successfully deliver 90% of her second serves. Recently, she missed 5 out of her first 20 second serves in a match. To evaluate if this outcome is surprising given her claim, we can simulate the probability of missing 5 or more serves in her first 20 attempts assuming a 10% miss probability per serve.

**Dotplot Analysis:**

The dotplot illustrates the number of second serves missed out of the first 20 serves in 100 simulated matches. The x-axis represents the number of missed serves in the simulated match, ranging from 0 to 7. Each dot corresponds to the frequency of that number of missed serves occurring.

**Interpretation of Results:**

- The distribution is centered around 2 missed serves, indicating that missing around 2 serves is most common if the player’s claim is accurate.
- A small number of simulations resulted in the player missing 5 or more of her first 20 serves.

**Question for Analysis:**

Is there sufficient evidence that the player misses more than 10% of her second serves?

**Answer Options:**

- No, missing 5 out of 20 is better than expected.
- No, with only a 7% chance of missing 5 or more serves, there isn't convincing evidence against her claim.
- No, it's possible the player had an unlucky streak.
- Uncertain, without knowing the overall number of serves.
- Yes, given 10% of 20 is 2, and many results show 2 or more missed serves, suggesting more than 10% misses.

Engage with this activity by evaluating the dotplot and choosing the interpretation that aligns with your understanding of probability and statistical evidence.
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Transcribed Image Text:**Simulation of Tennis Serve Accuracy** A professional tennis player claims to successfully deliver 90% of her second serves. Recently, she missed 5 out of her first 20 second serves in a match. To evaluate if this outcome is surprising given her claim, we can simulate the probability of missing 5 or more serves in her first 20 attempts assuming a 10% miss probability per serve. **Dotplot Analysis:** The dotplot illustrates the number of second serves missed out of the first 20 serves in 100 simulated matches. The x-axis represents the number of missed serves in the simulated match, ranging from 0 to 7. Each dot corresponds to the frequency of that number of missed serves occurring. **Interpretation of Results:** - The distribution is centered around 2 missed serves, indicating that missing around 2 serves is most common if the player’s claim is accurate. - A small number of simulations resulted in the player missing 5 or more of her first 20 serves. **Question for Analysis:** Is there sufficient evidence that the player misses more than 10% of her second serves? **Answer Options:** - No, missing 5 out of 20 is better than expected. - No, with only a 7% chance of missing 5 or more serves, there isn't convincing evidence against her claim. - No, it's possible the player had an unlucky streak. - Uncertain, without knowing the overall number of serves. - Yes, given 10% of 20 is 2, and many results show 2 or more missed serves, suggesting more than 10% misses. Engage with this activity by evaluating the dotplot and choosing the interpretation that aligns with your understanding of probability and statistical evidence.
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