what is the difference between sigma and alternate hypothesis how does number of observations support an alternate hypothesis to a test for a variance? how does the number of observations backing up a null hypothesis have to scale so that the hypothesis is rejected? why does the variable variance  a$ what is the null hypothesis how does number of observations supporting an alternate hypothesis have to scale so that null is rejected? how to find the sigma of the data how to use number of observations to support alternate hypothesis why is there a null hypothesis why is the variance of a gaussian distribution random if null, what does the number of observations support? how does the numbers for null hypothesis how to scale numbers for a hypothesis test how does number of observations supporting alternate hypothesis have to scale so that null is rejected what is the difference between a null hypothesis and a symmetric hypothesis? what is the value of variance in a gaussian distribution what is the value of the variance of $a$ why do numbers on a matrix have to be small for null hypothesis what type of data does this machine produce random numbers in a gaussian distribution? what is the difference between null and random