Question

which of the following are possible examples of sampling distributions? (select all that apply.)
heights of college students at a sampled university
all mean trout lengths in a sampled lake
mean trout lengths based on samples of size 5
average male height based on samples of size 30
average sat score of a sample of high school students

Explanation:

A sampling distribution is a distribution of a statistic (like a mean) from multiple samples.

• "Heights of college students at a sampled university" is a population (or sample) distribution, not a sampling distribution.
• "All mean trout lengths in a sampled lake" is not well - defined. If it's from multiple samples, it could be, but the wording is unclear.
• "Mean trout lengths based on samples of size 5" is a sampling distribution (of the sample mean).
• "Average male height based on samples of size 30" is a sampling distribution (of the sample mean).
• "Average SAT score of a sample of high school students" is a single - sample statistic, not a sampling distribution.

Answer:

mean trout lengths based on samples of size 5, average male height based on samples of size 30