Find a sufficient statistic for n using the factorization criterion. Extend the family of distributions from chi-square to Gamma distributions. The heights of female students are assumed to be normally distributed with both m and s unknown. An environmentalist group wants to monitor the temperature rise in the water 50 yards downstream from a nuclear reactor. They are concerned that the ecological balance of the stream will be irreparably damaged.
Similar studies suggest that normality of the temperature readings is justified and that .
Find a complete sufficient statistic for k .