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Chapter 10: Q. 20 (page 597)

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.

State the null and alternative hypotheses.

a. H0:

b. Ha :

Short Answer

Expert verified

(a) The required hypothesesH0:渭whites=渭nonwhites

(b) The required hypothesesH1:渭whites鈮�渭nonwhites

Step by step solution

01

Part (a) Step 1: Given information 

According to the US Centers for Disease Control, the average life expectancy for whites born in 1900 was $47. years and 33 years for nonwhites. Assume you survey death records for people born in 1900 in a specific county at random. The average life duration of the 124 whites was 45.3 years, with a standard deviation of 12.7 years. The average life duration of the 82 nonwhites was 34.1 years, with a standard deviation of 15.6 years. Conduct a hypothesis test to check if whites and nonwhites in the county have the same average life lengths.

02

Part (a) Step 2: State the null and alternative hypotheses.

The null hypothesis is given below,

H0:渭whites=渭nonwhites
03

Part (b) Step 1: Given information 

According to the US Centers for Disease Control, the average life expectancy for whites born in 1900 was $47. years and 33 years for nonwhites. Assume you survey death records for people born in 1900 in a specific county at random. The average life duration of the 124 whites was 45.3 years, with a standard deviation of 12.7 years. The average life duration of the 82 nonwhites was 34.1 years, with a standard deviation of 15.6 years. Conduct a hypothesis test to check if whites and nonwhites in the county have the same average life lengths.

04

Part (b) Step 2: State the null and alternative hypotheses.

The alternative hypothesis is given below,

H1:渭whites鈮�渭nonwhites

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Most popular questions from this chapter

In a random sample of 100 forests in the United States, 56 were coniferous or contained conifers. In a random sample of 80 forests in Mexico, 40 were coniferous or contained conifers. Is the proportion of conifers in the United States statistically more than the proportion of conifers in Mexico?

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