3. For each statement below, determine whether the statement is true or false. Circle your answer if you are writing your solutions on this document. If you are writing your solutions in a separate document, write TRUE or FALSE for each statement. (a) TRUE FALSE Recall that for a random sample Y1. Y2. . . . . Y\" 351 EXp(A) from an exponential distribution with rate A, the maximum likelihood estimator for A is given by A = 23:1 Y = (TU1. For large n, the sampling distribution of A is approximately normal. (3 pts) TRUE FALSE The sample variance for a normal random sample is an unbiased estimator of the true variance. (3 pts) TRUE FALSE If you obtain 95% condence intervals for different parameters in each of 100 independent experiments, 5 of those confidence intervals will not contain the true parameter value, on average. (3 pts) it'd TRUE FALSE Let X1, X2. . . . , Xn ~ N(,d= 02) be a random sample from a normal distribution with known variance. The margin of error for a 98% confidence interval for n is greater when n = 87 than when n = 23. (3 pts) TRUE FALSE A criminal trial in the United States can be formulated as a hypothesis test with H0 : The defendant is not guttty and HA : the defendant is guilty. In this framework, rendering a guilty verdict when the defendant is not guilty is a type II error. (3 pts)