simple hypotheses

  1. C

    Computing sample size and Best Critical Region

    Let X_1,X_2,\ldots,X_n denote a random sample from a normal distribution N(\theta,100). Show that C=[(x_1,x_2,\ldots,x_n):c\leq \bar x=\frac{\sum_1^n x_i}{n}] is a best critical region for testing H_o:\theta=75 against H_1:\theta=78. Find n and c so that...
  2. S

    Likelihood Ratio Test Statistic

    Hi guys, Heres my problem: ********** Data X1,X2,....,Xn, n = 20, are available of numbers of flaws per 10 metres of bales of a manufactured material. Assuming that the Poisson model is valid for these data, the probability mass function of X is: fx(x; theta) =...