Question

Suppose you’re in a class of 35 students. The instructor takes a simple random sample of seven students and observes their heights. Imagine all of the different samples possible. Let X denote the tallest height in the sample. The distribution of all values taken by X in all possible samples of seven students selected from the 35 students in your class is: the standard deviation of values. the sampling distribution of X . the parameter. the probability that X is obtained.

Answer 1

The distribution of all values of X is the sampling distribution of X.

Explanation:

The sampling distribution of a statistic is the probability distribution computed through a large number of samples taken from a specific population.

For example, the sampling distribution of mean is the probability distribution of sample mean, were the sample means are computed from various samples taken from a specific population.

In this case a class of 35 students is divided into samples of 7.

Each sample is considered and the heights of the 7 students are noted.

The random variable X is defined as the tallest height.

The distribution of all values of X is the sampling distribution of X.