If there are two unbiased estimators of a parameter, the one whose variance is smaller is said to be ...

If there are two unbiased estimators of a parameter, the one whose variance is smaller is said to be relatively efficient.
  Indicate whether the statement is true or false

Q. 2

In order to predict with 98 confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 15 observations is taken. Which of the following t-table values listed below would be used?
 a. 1.350
  b. 1.771
  c. 2.160
  d. 2.650

Q. 3

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.
  Indicate whether the statement is true or false

Q. 4

In order to predict with 80 confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 15 observations is taken. Which of the following t-table values listed below would be used?
 a. 1.350
  b. 1.771
  c. 2.160
  d. 2.650

Q. 5

An unbiased estimator is a sample statistic whose expected value equals the population parameter.
  Indicate whether the statement is true or false

Q. 6

The confidence interval estimate of the expected value of y for a given value x, compared to the prediction interval of y for the same given value of x and confidence level, will be:
 a. wider.
  b. the same.
  c. narrower.
  d. impossible to know.

Q. 7

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows smaller as the sample size grows larger.
  Indicate whether the statement is true or false