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Chapter 10: Q.58 (page 599)

Calculate the test statistic.

Short Answer

Expert verified

The value of test statistics is4.4976

Step by step solution

01

Given information

we need to determine pooled population by using the given formula

02

Explanation

we can find the value of test statistics by the following

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Most popular questions from this chapter

A concerned group of citizens wanted to know if the proportion of forcible rapes in Texas was different in 2011

than in 2010.Their research showed that of the 113,231violent crimes in Texas in 2011,7622of them were forcible rapes. In 2011,7439of the 104,873violent crimes were in the forcible rape category. Test at a 5%significance level.

Answer the following questions:

a. Is this a test of two means or two proportions?

b. Which distribution do you use to perform the test?

c. What is the random variable?

d. What are the null and alternative hypothesis? Write the null and alternative hypothesis in symbols.

e. Is this test right-, left-, or two-tailed?

f. What is the p-value?

g. Do you reject or not reject the null hypothesis?

h. At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that

____________.

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

In two to three complete sentences, explain in detail how you might use Terri Vogel’s data to answer the following

question. “Does Terri Vogel drive faster in races than she does in practices?”

What is the sample mean difference?

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6years 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 45.3years with a standard deviation of 12.7years. Of the 82 nonwhites, the mean life span was 34.1years 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.

Explain why you chose the distribution you did for Exercise 10.24.
See all solutions

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