Which statement best describes a parameter?
A) A parameter is a numerical measure of a population that is almost always unknown and must be estimated.
B) A parameter is a level of confidence associated with an interval about a sample mean or proportion.
C) A parameter is an unbiased estimate of a statistic found by experimentation or polling.
D) A parameter is a sample size that guarantees the error in estimation is within acceptable limits.
Q. 2Which geometric shape is used to represent areas for a uniform distribution?
A) Rectangle B) Bell curve C) Circle D) Triangle
Q. 3The minimum-variance unbiased estimator (MVUE) has the least variance among all unbiased estimators.
A) True B) False
Q. 4Consider the given discrete probability distribution. Find P(x = 1 or x = 2).
x 0 1 2 3 4 5
p(x) .30 .25 .20 .15 .05 .05
Q. 5After a particular heavy snowstorm, the depth of snow reported in a mountain village followed a uniform distribution over the interval from 15 to 22 inches of snow.
Find the probability that a randomly selected location in this village had between 17 and 18 inches of snow. Round to the nearest ten-thousandth.
A) 0.1429 B) 0.5714 C) 0.4286 D) 0.2857
Q. 6The ideal estimator has the greatest variance among all unbiased estimators.
A) True B) False
Q. 7The age of customers at a local hardware store follows a uniform distribution over the interval from 18 to 60 years old. Find the probability that the next customer who walks through the door exceeds 50 years old. Round to the nearest ten-thousandth.
A) 0.8333 B) 0.7619 C) 0.3600 D) 0.2381