(4) Answering the following by circling TRUE or FALSE. (a) (TRUE or FALSE) An es

Question

(4) Answering the following by circling TRUE or FALSE.

(a) (TRUE or FALSE) An estimator ˆ of a parameter is unbiased if E( ˆ) = .

(b) (TRUE or FALSE) We can create a large sample confidence interval for µ if the sample size is greater than 30.

(c) (TRUE or FALSE) Given a confidence level, , it is possible to determine a sample size needed to obtain a confidence interval with a specified width.

(d) (TRUE or FALSE) Two events A and B are independent if P(A|B) = P(B).

(e) (TRUE or FALSE) If order matters we use combinations.

(f) (TRUE or FALSE) The median of a data set is resistant to outliers.

(g) (TRUE or FALSE) It is possible for an event to contain all possible outcomes within a sample space.

(h) (TRUE or FALSE) It is possible for two events to be both mutually exclusive and independent simultaneously.

(i) (TRUE or FALSE) A discrete random variable can take on uncountably many possible values.

(j) (TRUE or FALSE) The probability that a continuous random variable takes an one specific value is zero.

Explanation / Answer

The answers to all the questions are as mentioned below: -

a)

True

b)

True

c)

False

d)

False

e)

False

f)

True

g)

True

h)

False

i)

True

j)

True

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