(a) True (b) False . 2.Consider a confidence interval for the mean of a Normaldistribution when the variance is known. Multiplying by 2 thesample size permits to divide by 4 the size of theinterval. (a) True (b)False . 3. Consider a confidence interval for the mean of a Normaldistribution when the variance is known. If the variance is reducedthen the size of the interval is also reduced. (a)True (b)False . 4. The generalized likelihood ratio test always leads tothe Pearson Chi-square statistic (b) False .