A doctor in Orlando wants to know whether the average life span for heart disease patients at four hospitals in the city differ. The data below represents the life span, in years, of heart disease patients from each hospital. Perform an ANOVA test with a 10% level of significance to test whether the average life span of heart disease patients in Orlando differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 4.9,7.7,7.3,9.2,9.3,9.1,8.6,8.7,8.6,6.4,5.4,6.9,3.3,4.9,9.7,7,9,10.1,4.9,6.2,7.9,4.5,5.8,4.8, 11.6,7.7,5.4,3.9,6.9,9.3,9.7,7.6,8.3,6.8 Life Span of Patients Treated at Hospital 2: 5.6,3.9,7.4,9.3,10.5,8.1,5.9,9.6,7.9,2.3,4.6,7.5,6,8,4.4,8.5,4.6,10.5,4.3,4.7,7.1,6.2,6.9,4.2, 7.5,8.9,7,7.6
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Life Span of Patients Treated at Hospital 3: 7.5,4.5,5.5,6.9,7.3,6,5.6,11.7,5.8,6.6,6.7,8.3,9.3,9.1,7.5,8.7,3.7,4.5,5.6,6.7,6.7,8.6.7.5,8, 5.6,8.7,6.5,9.8,4.2,4.1
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Life Span of Patients Treated at Hospital 4: 6.8,8,2.8,11,4.8,8,7.5,9.9,4.2,8.6,2.8,2.6.8,7.2,7.8,7.5,6.8,7,6,9.2,8,10.7,8.3,4.4,7.1,8.6, 5.5,5.5,10.4,7.9,11.1,8.5,10.3
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Step 1: State the null and alternative hypotheses. H 0
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H n
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: Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) distribution with numerator degrees of freedom df hetween ​
= and denominator degrees of freedom df within ​
=