Question

It is believed that the mean height of high school students who play basketball on the school team is inches with a standard deviation of inches. A random sample of players is chosen. The sample mean was inches, and the sample standard deviation was years. Do the data support the claim that the mean height is less than inches? The p-value is almost zero. State the null and alternative hypotheses and interpret the p-value.

Short answer

The alternate hypothesis and the null hypothesis are as follows:

Step-by-step solution

Given information

A basketball team's average height is inches, with a standard variation of inches. The football team's average height is inches, with a standard variation of inches.

Explanation

The null hypothesis states that no statistical relationship exists between two variables, hence the researcher must always reject the inference.

The alternative hypothesis suggests that the two variables have a significant relationship.

For the provided data, the null and alternate hypotheses are:

Because the p-value is set to zero, the alpha level is set toThe null hypothesis is rejected at this alpha level because the p-value is less than . As a result, there is sufficient evidence to support the assertion that the average height of the basketball team's players is less than inches.