Question

At the $5\%$ significance level, is there a difference in the mean jump heights among the teams?

Short answer

There is no difference in the mean jump heights among the $5$ teams at $5\%$ level of significance.

Step-by-step solution

Given Information

Four basketball teams took a random sample of players regarding how high each player can jump (in inches).

Team 1	Team 2	Team 3	Team 4	Team 5
36	32	48	38	41
42	35	50	44	39
51	38	39	46	40

Explanation

Probability Statement: p-value $=0.1614$.

Compare $\alpha$ and the $p$-value: $\alpha =0.05$, $p-value=0.1614$.

Make a decision: Since $\alpha <p$-value,

we accept $H_0$.

We can conclude that there is no difference in the mean jump heights among the $5$ teams at $5\%$ level of significance.