Which of the following statements is true about the Chi-squared distribution? O The statistic X, that is used to estimate the variance S² of a random sample, has a Chi-squared distribution. O The sum of the squares of k independent standard normal random variables has a Chi-squared distribution with k degrees of freedom. O The Chi-squared distribution is used in hypothesis testing and estimation. O The Chi-squared distribution is a particular case of the Gamma distribution. O All of the above.
Which of the following statements is true about the Chi-squared distribution? O The statistic X, that is used to estimate the variance S² of a random sample, has a Chi-squared distribution. O The sum of the squares of k independent standard normal random variables has a Chi-squared distribution with k degrees of freedom. O The Chi-squared distribution is used in hypothesis testing and estimation. O The Chi-squared distribution is a particular case of the Gamma distribution. O All of the above.
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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![Which of the following statements is true about the Chi-squared distribution?
O The statistic X, that is used to estimate the variance S² of a random sample, has a Chi-squared
distribution.
O The sum of the squares of k independent standard normal random variables has a Chi-squared
distribution with k degrees of freedom.
O The Chi-squared distribution is used in hypothesis testing and estimation.
O The Chi-squared distribution is a particular case of the Gamma distribution.
O All of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8167dea-39c1-4eca-ba1b-c9c155f79e9a%2F63cd32e2-c13a-437d-9cac-99dbf1bc8d01%2F8w7oshg.png&w=3840&q=75)
Transcribed Image Text:Which of the following statements is true about the Chi-squared distribution?
O The statistic X, that is used to estimate the variance S² of a random sample, has a Chi-squared
distribution.
O The sum of the squares of k independent standard normal random variables has a Chi-squared
distribution with k degrees of freedom.
O The Chi-squared distribution is used in hypothesis testing and estimation.
O The Chi-squared distribution is a particular case of the Gamma distribution.
O All of the above.
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