Question

5.1 Let U a in f(X;0) ae then E(U)=0. O TRUE O FALSE

Answer 1

5.1)

since

f(x)dx = 1

$\frac{d}{d\theta }\int f(x)dx=0\Rightarrow \int \frac{dlnf(x)}{d\theta }*f(x)dx=E(\frac{dlnf(x)}{d\theta })=0$

Hence true

5.2)

for testing the mean if there is no infomration about population variance then we will use t statistics

Hence

FALSE
5.3)

MLE of Variance of normal distribution is always biaesd

Hence

FALSE
5.4)

margin of error is directly proportional to confidence level so decreasing the confidence interval result in decrease in confidence interval hence confidence interval become narrower

Hence

TRUE
5.5)

a biased estimator can be efficient

Hence

FALSE