Question

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Explanation:

The study describes astronomers determining the distance to a galaxy by measuring the distances to just a few stars within it and taking the mean (average) of those distance measurements.

Identify the sample

Using the Sample vs Population knowledge point
The population is the entire group of interest (all stars in the galaxy). The sample is the specific subset of the population from which data is actually collected.

• Population: All stars in the galaxy.
• Sample: The stars that were selected for measurement.

Thus, the correct option is (D).

Identify the population parameter

Using the Population Parameter knowledge point
A parameter is a numerical characteristic of the entire population. Here, the population consists of all stars in the galaxy, and we are interested in their distances to Earth.

• Parameter: The mean distance between all stars in the galaxy and Earth.

Thus, the correct option is (A).

Identify the sample statistic

Using the Sample Statistic knowledge point
A statistic is a numerical characteristic of the sample. Here, the sample consists of the selected stars.

• Statistic: The mean distance between all stars that were selected for measurements and Earth.

Thus, the correct option is (B).

Answer:

Question 1

• (A) All stars.
• (B) All stars in the galaxy.
• (C) All galaxies.
• (D) The stars that were selected for measurement. (Correct answer)

Question 2

• (A) The mean distance between all stars in the galaxy and Earth. (Correct answer)
• (B) The distances between each star in the galaxy and Earth.
• (C) The distances found in the study.
• (D) The mean distance between all stars that were selected for measurements and Earth.

Question 3

• (A) The distances between each star in the galaxy and Earth.
• (B) The mean distance between all stars that were selected for measurements and Earth. (Correct answer)
• (C) The distances found in the study.
• (D) The mean distance between all stars in the galaxy and Earth.