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11.2: Facts About the Chi-Square Distribution
https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/11%3A_The_Chi-Square_Distribution/11.02%3A_Facts_About_the_Chi-Square_Distribution
For the $\chi^2$ distribution, the population mean is $\mu = df$ and the population standard deviation is $\sigma=\sqrt{2(d f)}$ . The random variable for a chi-square distribution with $k$ deg...For the $\chi^2$ distribution, the population mean is $\mu = df$ and the population standard deviation is $\sigma=\sqrt{2(d f)}$ . The random variable for a chi-square distribution with $k$ degrees of freedom is the sum of $k$ independent, squared standard normal variables. For $\chi \sim \chi_{1,000}^{2}$ the mean, $\mu = df = 1,000$ and the standard deviation, $\sigma=\sqrt{2(1,000)}=44.7$ . The mean, $\mu$ , is located just to the right of the peak.
7.14: Facts About the Chi-Square Distribution
https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/07%3A_Hypothesis_Testing/7.14%3A_Facts_About_the_Chi-Square_Distribution
For the $\chi^2$ distribution, the population mean is $\mu = df$ and the population standard deviation is $\sigma=\sqrt{2(d f)}$ . The random variable for a chi-square distribution with $k$ deg...For the $\chi^2$ distribution, the population mean is $\mu = df$ and the population standard deviation is $\sigma=\sqrt{2(d f)}$ . The random variable for a chi-square distribution with $k$ degrees of freedom is the sum of $k$ independent, squared standard normal variables. For $\chi \sim \chi_{1,000}^{2}$ the mean, $\mu = df = 1,000$ and the standard deviation, $\sigma=\sqrt{2(1,000)}=44.7$ . The mean, $\mu$ , is located just to the right of the peak.
11.2: Facts About the Chi-Square Distribution
https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/11%3A_The_Chi-Square_Distribution/11.02%3A_Facts_About_the_Chi-Square_Distribution
For the $\chi^2$ distribution, the population mean is $\mu = df$ and the population standard deviation is $\sigma=\sqrt{2(d f)}$ . The random variable for a chi-square distribution with $k$ deg...For the $\chi^2$ distribution, the population mean is $\mu = df$ and the population standard deviation is $\sigma=\sqrt{2(d f)}$ . The random variable for a chi-square distribution with $k$ degrees of freedom is the sum of $k$ independent, squared standard normal variables. For $\chi \sim \chi_{1,000}^{2}$ the mean, $\mu = df = 1,000$ and the standard deviation, $\sigma=\sqrt{2(1,000)}=44.7$ . The mean, $\mu$ , is located just to the right of the peak.

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