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Chapter 10: Q.35 (page 597)

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 伪=0.01

Reject the null hypothesis because伪>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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Most popular questions from this chapter

Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

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c. There is sufficient evidence to conclude that the method increases the proportion of HIV positive patients who develop AIDS after four years.

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Comparing Two Independent Population Proportions.

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Is this a test of means or proportions?

Use the following informotion 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.

What is the test statistic?

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