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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

Expert verified
  • 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

01

Given Information

The table is

02

At the 1 % significance level 

Testing at a significance threshold of 1%, or α=0.01

Reject the null hypothesis becauseα>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.

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