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culty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one of son, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random hple showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-thro oting using a 0.05 significance level. ck the conditions of the Central Limit Theorem for this scenario. culate the number of expected successes.

culty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one of son, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random hple showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-thro oting using a 0.05 significance level. ck the conditions of the Central Limit Theorem for this scenario. culate the number of expected successes.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Transcription for Educational Website** **Title: Analyzing Free-Throw Improvement Using Statistical Methods** Any basketball fan knows that Shaquille O’Neal, one of the NBA’s most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one off-season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. 1. **Check the conditions of the Central Limit Theorem for this scenario.** 2. **Calculate the number of expected successes.** **Explanation:** This task involves testing a hypothesis that Shaquille O'Neal has improved his free-throw percentage. The test is conducted using a significance level of 0.05, which means we accept a 5% chance of incorrectly concluding that there has been an improvement. **Steps for Analysis:** - **Central Limit Theorem (CLT):** We must verify that the sample size is large enough for the CLT to apply, allowing us to use normal approximation methods. - **Expected Successes Calculation:** Determine the expected number of successful free throws based on Shaq's career average and compare it with the sample performance. Understanding these statistical concepts helps in analyzing the performance improvement in sports or other fields accurately.
Transcribed Image Text:**Transcription for Educational Website** **Title: Analyzing Free-Throw Improvement Using Statistical Methods** Any basketball fan knows that Shaquille O’Neal, one of the NBA’s most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one off-season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. 1. **Check the conditions of the Central Limit Theorem for this scenario.** 2. **Calculate the number of expected successes.** **Explanation:** This task involves testing a hypothesis that Shaquille O'Neal has improved his free-throw percentage. The test is conducted using a significance level of 0.05, which means we accept a 5% chance of incorrectly concluding that there has been an improvement. **Steps for Analysis:** - **Central Limit Theorem (CLT):** We must verify that the sample size is large enough for the CLT to apply, allowing us to use normal approximation methods. - **Expected Successes Calculation:** Determine the expected number of successful free throws based on Shaq's career average and compare it with the sample performance. Understanding these statistical concepts helps in analyzing the performance improvement in sports or other fields accurately.
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