Question

for the following data, identify the population, sample population, parameter, and sample statistic.\
astronomers typically determine the distance to a galaxy (a huge collection of billions of stars) by measuring the distance to just a few stars within it and taking the mean (average) of these distance measurements.\
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c. the stars that were selected for measurement\
d. all galaxies\
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what is the population parameter?\
a. the distances between each star in the galaxy and earth\
b. the distances found in the study\
c. the mean distance between all stars in the galaxy and earth\
d. the mean distance between all stars that were selected for measurements and earth\
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identify the sample statistic. choose the correct answer below\
a. the distances between each star in the galaxy and earth\
b. the mean distance between all stars in the galaxy and earth\
c. the mean distance between all stars that were selected for measurements and earth\
d. the distances found in the study

Explanation:

To identify the sample statistic, we recall that a sample statistic is a measure calculated from a sample (a subset of the population). Here, the sample is the stars selected for measurement. The sample statistic should be a measure (like the mean) of this sample. Option C is the mean distance of the selected (sampled) stars from Earth, which fits the definition of a sample statistic. Option A is about all stars (population data), B is the population parameter (mean of all stars), and D is just the distances (not a statistic, which is a summary measure).

Answer:

C. The mean distance between all stars that were selected for measurements and Earth