Given information
Use the following information to answer the next exercises: The U.S. Center for Disease Control reports that the mean life expectancy was years for whites born in and years for nonwhites. Suppose that you randomly survey death records for people born in in a certain county. Of the whites, the mean life span was years with a standard deviation of years. Of the nonwhites, the mean life span was years with a standard deviation of years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.
Step-by-step explanation
To calculate the test statistic following algorithm is used,
In the dialogue box that appears enter the provided values of the samples size, sample mean, and standard deviation as,
Next click on the ‘Options’ tab.
Set the confidence level and the alternative hypothesis as not equal, as stated in the test.
Click on 'OK' this gives the output.
The Minitab output is displayed as in the following figure:
From the calculation results, the test statistic value is and the value is