1. What is a random sample?

a. A random sample represents random variates formed by drawing samples from a target distribution.

b. None of the above.

c. All of the above.

d. A random sample represents deterministic variates formed by drawing samples from a target distribution.

e. A random sample represents an empty set.

2. Which of the following statements is true?

A. The power function only depends on the random sample.

B. The power function is just the probability of a type II error.

C. The power function has two values, namely: 0 and 1.

D. Empirically, the size of the test can be less than the level of significance.

E. Empirically, , the size of the test can be greater than the level of significance

a. D only

b. D and E

c. A, B, and C

d. A and B only

e. A only

3. If you square a normally distributed random variable X, then the resultant transformation will have a t-distribution since it results in relatively flatter tails. On the other hand, if you get the sum of two normally distributed random variables, then the resultant transformation is also normally distributed.

a. True

b. False