A doctor in Baltimore 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 7% level of significance to test whether the average life span of heart disease patients in Baltimore differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 12.4, 17.5, 20, 0.1, 1.7, 21.5, 10.8,72 20.4, 11.5, 8.3, 3.7, 3.1, 3.7, 9.7, 13.2, 11.6, 14.8, 1.2, 5.6, 8.8, 6.2, 7.7, 8.5, 19.5, 2.4, 3.1, 8.3, 8.3, 26.3, 6.3, 16.1 Life Span of Patients Treated at Hospital 2: 9.4, 3.2, 6.4, 8.4, 18.7, 5.5, 21.7, 21.4, 6.5, 6.4, 14.2, 4.3, 16.6, 8.1, 7.5, 3.8, 19.9, 1.1, 1.6, 16.2, 16.6, 4, 11.9, 27.7, 24.9, 0.5, 9.1, 14.7, 8.4, 14.9, 18.1 Life Span of Patients Treated at Hospital 3: 35, 13.7, 3.8, 14.2, 5.7, 15.4, 21.6, 0, 11.9, 7.1, 6.4, 5.4, 17.9, 18.6, 14.3, 4, 10.5, 2.4, 2.5, 6.9, 7.8, 8.4, 11.3 Life Span of Patients Treated at Hospital 4: 9.1, 0.1, 8.9, 0.8, 10.9, 14.5, 6.5, 19.1, 2.9, 11.2, 9.4, 21.7, 19.8, 6.3, 8.6, 20.4, 8.4, 4, 13.1, 20.9, 13.8, 19.5, 16.6, 2.7, 28.5, 19, 13.7, 8.8, 5.3, 16, 8.4, 0.2, 8.9, 4.7, 7.7 Step 1: State the null and alternative hypotheses. Ho: P1 = P2 = H3 = Ha Ha: At least one mean isn't equal to the other means V Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F v distribution with numerator degrees of freedom %3D 117 d fpetween and denominator degrees of freedom dfwithin = 3 Part 3 of 4

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Step 3
thin
Part 3 of 4
Step 3: Find the p-value of the test statistic.
4 =
ANOVA Table
SS
df
MS
F
Between
Within
P(F 2v
%3D
||
Transcribed Image Text:thin Part 3 of 4 Step 3: Find the p-value of the test statistic. 4 = ANOVA Table SS df MS F Between Within P(F 2v %3D ||
* myopenmath.com/assess2/?cid=101459&aid=7240159#/skip/2
politi
A doctor in Baltimore 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 7% level of significance to test whether
the average life span of heart disease patients in Baltimore differs depending on the hospital that
treats them
Life Span of Patients Treated at Hospital 1:
12.4, 17.5, 20, 0.1, 1.7, 21.5, 10.8, 72, 20.4, 11.5, 8.3, 3.7, 3.1, 3.7, 9.7, 13.2, 11.6, 14.8, 1.2, 5.6, 8.8,
6.2, 7.7, 8.5, 19.5, 2.4, 3.1, 8.3, 8.3, 26.3, 6.3, 16.1
Life Span of Patients Treated at Hospital 2:
9.4, 3.2, 6.4, 8.4, 18.7, 5.5, 21.7, 21.4, 6.5, 6.4, 14.2, 4.3, 16.6, 8.1, 7.5, 3.8, 19.9, 1.1, 1.6, 16.2, 16.6, 4,
11.9, 27.7, 24.9, 0.5, 9.1, 14.7, 8.4, 14.9, 18.1
Life Span of Patients Treated at Hospital 3:
35, 13.7, 3.8, 14.2, 5.7, 15.4, 21.6, 0, 11.9, 7.1, 6.4, 5.4, 17.9, 18.6, 14.3, 4, 10.5, 2.4, 2.5, 6.9, 7.8, 8.4,
11.3
Life Span of Patients Treated at Hospital 4:
9.1, 0.1, 8.9, 0.8, 10.9, 14.5, 6.5, 19.1, 2.9, 11.2, 9.4, 21.7, 19.8, 6.3, 8.6, 20.4, 8.4, 4, 13.1, 20.9, 13.8,
19.5, 16.6, 2.7, 28.5, 19, 13.7, 8.8, 5.3, 16, 8.4, 0.2, 8.9, 4.7, 7.7
Step 1: State the null and alternative hypotheses.
Ho: P1 = P2 = µ3 = P4
Ha: At least one mean isn't equal to the other means v
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
We will use a(n) F
v distribution with numerator degrees of freedom
117
dfpetween =
and denominator degrees of freedom d fwithin
3
Part 3 of 4
nluo of the test statistic.
Transcribed Image Text:* myopenmath.com/assess2/?cid=101459&aid=7240159#/skip/2 politi A doctor in Baltimore 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 7% level of significance to test whether the average life span of heart disease patients in Baltimore differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 12.4, 17.5, 20, 0.1, 1.7, 21.5, 10.8, 72, 20.4, 11.5, 8.3, 3.7, 3.1, 3.7, 9.7, 13.2, 11.6, 14.8, 1.2, 5.6, 8.8, 6.2, 7.7, 8.5, 19.5, 2.4, 3.1, 8.3, 8.3, 26.3, 6.3, 16.1 Life Span of Patients Treated at Hospital 2: 9.4, 3.2, 6.4, 8.4, 18.7, 5.5, 21.7, 21.4, 6.5, 6.4, 14.2, 4.3, 16.6, 8.1, 7.5, 3.8, 19.9, 1.1, 1.6, 16.2, 16.6, 4, 11.9, 27.7, 24.9, 0.5, 9.1, 14.7, 8.4, 14.9, 18.1 Life Span of Patients Treated at Hospital 3: 35, 13.7, 3.8, 14.2, 5.7, 15.4, 21.6, 0, 11.9, 7.1, 6.4, 5.4, 17.9, 18.6, 14.3, 4, 10.5, 2.4, 2.5, 6.9, 7.8, 8.4, 11.3 Life Span of Patients Treated at Hospital 4: 9.1, 0.1, 8.9, 0.8, 10.9, 14.5, 6.5, 19.1, 2.9, 11.2, 9.4, 21.7, 19.8, 6.3, 8.6, 20.4, 8.4, 4, 13.1, 20.9, 13.8, 19.5, 16.6, 2.7, 28.5, 19, 13.7, 8.8, 5.3, 16, 8.4, 0.2, 8.9, 4.7, 7.7 Step 1: State the null and alternative hypotheses. Ho: P1 = P2 = µ3 = P4 Ha: At least one mean isn't equal to the other means v Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F v distribution with numerator degrees of freedom 117 dfpetween = and denominator degrees of freedom d fwithin 3 Part 3 of 4 nluo of the test statistic.
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