FOR THIS AND THE NEXT QUESTION. According to The Boston Globe (August 16, 2010), Asian residents in Boston have the highest average life expectancy of any racial or ethnic group. The report shows, in particular, that Asians live a decade longer than black residents. Suppose the sample results below are indicative of the overall results. Calculate the F statistic.
Asian |
Black |
Latino |
White |
|
Sample mean |
83.70 |
73.50 |
80.60 |
79.00 |
Sample variance |
26.30 |
27.50 |
28.20 |
24.80 |
Sample size |
20 |
20 |
20 |
20 |
79.20 |
||
13.67 |
||
2.72 |
||
26.70 |
||
None of the above |
Suppose the p-value for the above study = 0.00. Which of the following conclusions with respect to the study is correct?
At the 5% level, do not reject the null hypothesis. Average life expectancy differs across the four racial groups |
||
At the 1% level, reject the null hypothesis. Average life expectancy is the same across the four racial groups |
||
At the 1% level, reject the null hypothesis. Average life expectancy differs across the four racial groups |
||
None of the above |
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