Question

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.

Explain why you chose the distribution you did for Exercise 10.24.

Short answer

For this hypothesis test, the distribution is Because of the comparison of two population means with unknown population standard deviations, Student's t was chosen.

Step-by-step solution

GIven Information

According to the US Centers for Disease Control, whites born in 1900 had a life expectancy of $47.6$years and nonwhites had a life expectancy of $33.0$years. 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 span 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.

For the Exercise 10.24 question, select the distribution you used.

Two population means with unknown population standard deviations are compared.