opose we have taken a sample of size 9 from a population that is normally distributed with population iance 12. We find that the sample mean is 80, and the sample variance is 7. culate the value of x based on the formula for the sampling distribution of S². Round your answer to 3 cimals. d the probability that the sample variance is less than 7. Round your answer to 4 decimals.
opose we have taken a sample of size 9 from a population that is normally distributed with population iance 12. We find that the sample mean is 80, and the sample variance is 7. culate the value of x based on the formula for the sampling distribution of S². Round your answer to 3 cimals. d the probability that the sample variance is less than 7. Round your answer to 4 decimals.
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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![**Problem Statement:**
Suppose we have taken a sample of size 9 from a population that is normally distributed with a population variance of 12. We find that the sample mean is 80, and the sample variance is 7.
1. **Calculate the value of \(\chi^2\) based on the formula for the sampling distribution of \(S^2\).** Round your answer to 3 decimals.
*[Input box]*
2. **Find the probability that the sample variance is less than 7.** Round your answer to 4 decimals.
*[Input box]*
---
**Instructions:**
- Use the chi-square formula \(\chi^2 = \frac{{(n-1) \cdot s^2}}{{\sigma^2}}\) to find the answer for the first question.
- For the second question, utilize the chi-square distribution table or calculator to determine the probability.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F699994d7-16e4-474d-b91b-175e045f5d68%2Ff7e752aa-3d1f-47db-8b4f-d0697bc50b8f%2Ftortxh_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Suppose we have taken a sample of size 9 from a population that is normally distributed with a population variance of 12. We find that the sample mean is 80, and the sample variance is 7.
1. **Calculate the value of \(\chi^2\) based on the formula for the sampling distribution of \(S^2\).** Round your answer to 3 decimals.
*[Input box]*
2. **Find the probability that the sample variance is less than 7.** Round your answer to 4 decimals.
*[Input box]*
---
**Instructions:**
- Use the chi-square formula \(\chi^2 = \frac{{(n-1) \cdot s^2}}{{\sigma^2}}\) to find the answer for the first question.
- For the second question, utilize the chi-square distribution table or calculator to determine the probability.
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