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Chapter 10: Q. 33 (page 597)

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?

Short Answer

Expert verified

The test statistic is z=-2.46.

Step by step solution

01

Given Information

The table is

02

 Determine the test statistic

STAT and 鈫�are used to find the p-value.

TESTS must be selected twice.

Select the 2-sample T test and enter the code as shown.

03

Simplifying

Once you've completed all of the sample entries, hit ENTER to get the following result:

Thus, the test statistic is z=-2.46.

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Most popular questions from this chapter

96. Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones. Suppose that consumers test 21 hybrid sedans and get a mean of 31 mpg with a standard deviation of seven mpg. Thirty one non-hybrid sedans get a mean of 22mpg with a standard deviation of four mpg. Suppose that the population standard deviations are known to be six and three, respectively. Conduct a hypothesis test to evaluate the manufacturers claim.

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.

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Calculate the test statistic and p-value.

A student at a four-year college claims that mean enrollment at four鈥搚ear colleges is higher than at two鈥搚ear colleges in the United States. Two surveys are conducted. Of the \(35\) two鈥搚ear colleges surveyed, the mean enrollment was \(5,068\) with a standard deviation of \(4,777\). Of the \(35\) four-year colleges surveyed, the mean enrollment was \(5,466\) with a standard deviation of \(8,191\).

Conduct a hypothesis test to answer the next two exercises.
87. The exact distribution for the hypothesis test is:
a. the normal distribution
b. the Student's t-distribution
c. the uniform distribution
d. the exponential distribution
See all solutions

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