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The U.S. Center for Disease Control reports that the mean life expectancy for whites born in 1900 was 47.6 years and for nonwhites it was 33.0 years. (http://www.cdc.gov/nchs/data/dvs/nvsr53_06t12.pdf ) 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.
Is this a right-tailed, left-tailed, or two-tailed test? How do you know?
two-tailed
In words, define the Random Variable of interest for this test.
The difference between the mean life spans of whites and nonwhites.
Which distribution (Normal or student's-t) would you use for this hypothesis test?
Explain why you chose the distribution you did for the above question.
Sketch a graph of the situation. Label the horizontal axis. Mark the hypothesized difference and the sample difference. Shade the area corresponding to the
value.
At a pre-conceived , what is your:
Does it appear that the means are the same? Why or why not?
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