Point Estimate and Unbiased Estimator

What is a point estimate?

• average of sample values

• average of population values

• a single value that represents the unknown sample statistic

• a single value that represents the unknown population parameter

The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20. What is the best point estimate of the true average score in this standardized mathematics test?

• 20

• 78

• 95

• 100

A point estimate of a population consists of how many numbers?

• 1

• 2

• 10

• infinite

What is the point estimate for the interval (-5 , 13)?

• 13

• 4

• 9

• -5

A statistic used to estimate a parameter is an ____________ if the mean of its sampling distribution is equal to the value of the parameter being estimated.

• unbiased estiamtor

• biased estimator

• highly variable

• less variable

Which best describes the sampling distribution shown below.

• Unbiased Estimator

• Biased Estimator

When the mean of a sampling distribution is the same as that of the population, we say that

• it is an unbiased estimator of the population

• it is an unbiased estimator of the statistic

• it is a low variability estimator of the population

• it is a biased estimator of the population

Given the interval (1.2, 1.8), what is the point estimate and the margin of error? 

• 1.5, 0.6

• 1.5, 0.3

• 1.2, 0.3

• 1.2, 0.6

Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?

• A sample of size 25 will produce more variability of the estimator than a sample of size 50.

• A sample of size 25 will produce less variability of the estimator than a sample of size 50.

• A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.

• A sample of size 25 will produce a more biased estimator than a sample of size 50.

• A sample of size 25 will produce a less biased estimator than a sample of size 50.

What is a point estimate?

• Average of sample values

• Average of population values

• A single value that represents the unknown sample statistic.

• A single value that represents the unknown population parameter.