Question

You are interested in testing whether life expectancy differs based upon race, so you sample Tucson residents of different races/ethnicities which yields the following results:

	Race/Ethnicity
	Asian	African American	Hispanic	White
Mean	83.5 years	71.5 years	77.2 years	79.5 years
Standard Deviation	5.13	5.24	5.52	4.98
Sample Size	15	16	20	26

Use the incomplete ANOVA table below to answer the following questions. Note, you will need/be asked to complete the missing portions of this table first. Assume life expectancy is normally distributed.  Round your answers to 2 decimals.

Source of Variation	SS	df	MS	F
Between Treatments	1201.02
Within Treatments
Total	3180.27	76

Using the data and table above, find the values for all of the following. Round your answers to 2 decimals.

SSE =

df₁ =

df₂ =

MSTR =

MSE =

F =

Using a 5% significance level, what is the correct critical value to use for the overall significance test? Round your answer to 2 decimals.

Calculate a 95% Fisher’s confidence interval between Hispanics and African Americans. Let Hispanics be population 1 and African Americans be population 2 in the formula. Round your answers to 2 decimals.

Answer 1