Question

sampling distribution of the sample mean
warm-up active
warm-up
describing a population distribution, the distribution of a sample, and a sampling distribution
on a specific day, the amount of time that students of central high school spent traveling to school was approximately normal with a mean of 16 minutes and a standard deviation of 5 minutes. the sampling distribution is based upon samples of size 5 from the population of all students at this high school. match each distribution with what its graph displays.

sampling distribution of the sample mean
distribution of a single sample
population distribution

the means for travel time of many groups of 5 students from this school
the travel time of every student
the travel time of 5 students selected from this school

Explanation:

1. Sampling distribution of the sample mean: This refers to the distribution of all possible sample means from repeated samples of the same size taken from a population. It matches the description of means for many groups of 5 students.
2. Distribution of a single sample: This is the set of values from one specific sample, so it corresponds to the travel time of 5 selected students.
3. Population distribution: This is the distribution of all values in the entire population, which is the travel time of every student at the school.

Answer:

• sampling distribution of the sample mean → the means for travel time of many groups of 5 students from this school
• distribution of a single sample → the travel time of 5 students selected from this school
• population distribution → the travel time of every student at this school