Questions: HW09: Problem 2 (10 points) For the following problems, select the best response. (a) The population is A. the same thing as a census B. the collection of items upon which measurements are taken. C. the set of all items of interest. D. a parameter. (b) The sampling distribution of a statistic is A. the extent to which the sample results differ systematically from the truth. B. the mechanism that determines whether or not randomization was effective C. the population consisting of all the values of the statistic that could be observed based on all possible samples of the correct size. D. the probability that we obtain the statistic in repeated random samples. (c) An estimator is A. a statistic that is used to "guess" the value of a parameter. B. the same thing as a parameter. C. a parameter that is used to "guess" the value of a statistic. D. a value that is computed using all the measurements in the population. Note: You can earn partial credit on this problem.

HW09: Problem 2 (10 points) For the following problems, select the best response. (a) The population is A. the same thing as a census B. the collection of items upon which measurements are taken. C. the set of all items of interest. D. a parameter. (b) The sampling distribution of a statistic is A. the extent to which the sample results differ systematically from the truth. B. the mechanism that determines whether or not randomization was effective C. the population consisting of all the values of the statistic that could be observed based on all possible samples of the correct size. D. the probability that we obtain the statistic in repeated random samples. (c) An estimator is A. a statistic that is used to "guess" the value of a parameter. B. the same thing as a parameter. C. a parameter that is used to "guess" the value of a statistic. D. a value that is computed using all the measurements in the population. Note: You can earn partial credit on this problem.
Transcript text: HW09: Problem 2 (10 points) For the following problems, select the best response. (a) The population is A. the same thing as a census B. the collection of items upon which measurements are taken. C. the set of all items of interest. D. a parameter. (b) The sampling distribution of a statistic is A. the extent to which the sample results differ systematically from the truth. B. the mechanism that determines whether or not randomization was effective C. the population consisting of all the values of the statistic that could be observed based on all possible samples of the correct size. D. the probability that we obtain the statistic in repeated random samples. (c) An estimator is A. a statistic that is used to "guess" the value of a parameter. B. the same thing as a parameter. C. a parameter that is used to "guess" the value of a statistic. D. a value that is computed using all the measurements in the population. Note: You can earn partial credit on this problem.
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Solution

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Solution Steps

Step 1: Define the Population

The population is:

  • The collection of items upon which measurements are taken.
  • The set of all items of interest.
  • The set of all possible samples.

Answer: The set of all items of interest.

Step 2: Define the Sampling Distribution of a Statistic

The sampling distribution of a statistic is:

  • The extent to which the sample results differ systematically from the truth.
  • The population distribution of the values of the statistic that could be observed based on all possible samples of the correct size.
  • A value that is computed using all the measurements in the population.

Answer: The population distribution of the values of the statistic that could be observed based on all possible samples of the correct size.

Step 3: Define an Estimator

An estimator is:

  • The same thing as a parameter.
  • A parameter that is used to "guess" the value of a statistic.
  • A value that is computed using all the measurements in the population.

Answer: A parameter that is used to "guess" the value of a statistic.

Final Answer

  1. The population is the set of all items of interest.
  2. The sampling distribution of a statistic is the population distribution of the values of the statistic that could be observed based on all possible samples of the correct size.
  3. An estimator is a parameter that is used to "guess" the value of a statistic.
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