A. Choose the following that best describes the properties of two point estimato

Question

A. Choose the following that best describes the properties of two point estimators if the expected value of the first is equal and the value of the second is equal to the population parameter. 1. Both are unbiased. 2. none of these 3. Both are biased. 4. The first is unbiased and the second is biased. 5. The first is biased and the second is unbiased.

B. Choose the following that best describes a sampling procedure where data collection locations are chosen by an expert who indicates these locations are likely to be the best predictors of the variables of interest. 1. convenience 2. simple random 3. none of these 4. judgement 5. systematic 6. cluster                       

C. Choose the following that best describes a sampling procedure where locations are chosen by an expert who indicates these locations are likely to be the best predictors of the variables of interest and individuals to be observed are randomly chosen using Excel's "RANDBETWEEN" function from all individuals in the population of interest at each location. 1. cluster and convenience 2. cluster and systematic 3. judgement and systematic 4. judgement and simple random 5. none of these 6. cluster and convenience 7. stratified and convenience 8. judgement and cluster

D. For a population of values where the distribution is skewed to the right, according to the Central Limit Theorem, the sample means from samples of the same size (where n is greater than or equal to 30) will be: 1. none of these 2. skewed to the left 3. uniformly distributed 4. skewed to the right 5. normally distributed

E. The impact on sampling of decreasing the sample size is: 1. none of these 2. the sample mean will be farther from the population mean. 3. the amount of sampling error will decrease. 4. there is no specific relationship between sample size and sampling error. 5. the potential for extreme sampling error is increased.

Explanation / Answer

A. Option 1 Both are unbiased, Property of Point Estimator, if E(x) = x, the x is unbiased.

B. Judgement - Option 4

C. Judgement and Simple Random Option 4

D. Normally Distributed Option 5

E. the potential for extreme sampling error is increased. Option 5

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