Question

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. The table below shows the result. Scouters believe that Rodriguez pitches a speedier fastball.
Pitcher/Sample Mean Speed of Pitches (mph)/Population Standard Deviation
Wesley/86/3
Rodriguez/92/7
A) State the null and alternative hypotheses. (Let W represent Wesley and R represent Rodriguez.) (out of the following)
H0: μW ≥ μR
Ha: μW < μR
H0: μW = μR
Ha: μW ≠ μR
H0: μW ≤ μR
Ha: μW > μR
H0: μW < μR
Ha: μW ≥ μR
H0: μW > μR
Ha: μW ≤ μR
B) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

Answer 1

We Reject the null hypothesis because  α > p-value.

A sample of 14 fastball pitches is measured from each pitcher.

The null and alternative hypotheses

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

Reject the null hypothesis because  α > 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.

Therefore, we Reject the null hypothesis because  α > p-value.

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https://brainly.com/question/29576929

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