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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 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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Most popular questions from this chapter

What is the p-value?

In symbols, what is the random variable of interest for this test?

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

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

A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the

randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects’

cholesterol levels lower on average after the diet? Test at the 5%level.

SubjectABCDEFGHI
Before209210205198216217238240222
After199207189209217202211223201

It is believed that 70%of males pass their drivers test in the first attempt, while 65%of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.

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
See all solutions

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