text: Satterthwaite's estimator approximates a linear combination of random variables with this distribution.
full_question: Satterthwaite's estimator approximates a linear combination of random variables with this distribution. This distribution is equivalent to a gamma distribution with scale parameter two and shape parameter a multiple of one-half. This distribution appears in both the numerator and denominator of the F-distribution, and in the denominator of the t-distribution. If Z is a standard normal random variable, then Z squared has this distribution with one degree of freedom. If O is observed and E expected values, then the sum of O minus E quantity squared over E has this distribution. For 10 points, name this distribution that is typically used in hypothesis tests for independence and goodness-of-fit.
first_sentence: Satterthwaite's estimator approximates a linear combination of random variables with this distribution.
raw_answer: chi-squared distribution