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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Chapter1: Combinatorial Analysis
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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.
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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