Construct an ANOVA table Leave no cells blank be certain to

  

  

Construct an ANOVA table. (Leave no cells blank - be certain to enter \"0\" wherever required. Round intermediate values to 4 decimal places and your answers except \"df\" to 2 decimal places.)

  

Specify the competing hypotheses to test whether there are some differences in average life expectancies between the four ethnic groups.

  

Asian residents in Boston have the highest average life expectancy of any racial or ethnic group?a decade longer than black residents (The Boston Globe, August 16, 2010). Suppose sample results indicative of the overall results are as follows.

Asian residents in Boston have the highest average life expectancy of any racial or ethnic group?a decade longer than black residents (The Boston Globe, August 16, 2010). Suppose sample results indicative of the overall results are as follows. Construct an ANOVA table. (Leave no cells blank - be certain to enter 0 wherever required. Round intermediate values to 4 decimal places and your answers except df to 2 decimal places.) Specify the competing hypotheses to test whether there are some differences in average life expectancies between the four ethnic groups. At the 5% significance level, what is the conclusion to the test?

Solution

(a)

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(b)H₀: ?_Asian = ?_Black = ?_Latino = ?_white; H_A: The population means are not all equal.

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(c)Reject H₀; mean life expectancies are unequal.

Source of Variation	SS	df	MS	F	p-value	F crit at 5%
Between Groups	1,094.80	3	364.933	13.668	0	2.72
Within Groups	2,029.20	76	26.7
Total	3,124.00	79