Question

zane has two large flower gardens. the box plots show the heights of tulips in a random sample of 30 tulips from garden x and a random sample of 30 tulips from garden y. why can you use the box plots to make inferences about tulip heights in the two gardens? the random samples are likely to be representative of the population of tulips in each garden. the samples of 30 tulips are both taken from the same population. the data include all of the tulips in each of the gardens.

Explanation:

In statistics, when we take random samples, if the sampling is done properly (as stated here with random samples), these samples are likely to mirror the characteristics of the entire population (the tulips in each garden). This is the basis for using sample statistics (like those shown in box - plots) to make inferences about the population. The second option is incorrect because the samples are from two different populations (Garden X and Garden Y). The third option is wrong as the data are samples (30 tulips each) not all tulips in the gardens.

Answer:

The random samples are likely to be representative of the population of tulips in each garden.