Question

Use the following information to answer the next five exercises. The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.

At the 1 % significance level, what is your conclusion?

Short answer

• It can reject the null hypothesis at the 1% significance level.
• There is enough evidence to suggest that Rodriguez's fastball is faster on average than Wesley's.

Step-by-step solution

Given Information

The table is

At the 1 % significance level 

Testing at a significance threshold of $1\%$, or $\alpha =0.01$

Reject the null hypothesis because$\alpha >p$-value.

The null hypothesis is rejected at the $1\%$level of significance because there is enough data to determine that Rodriguez's fastball is faster than Wesley's.