(15 pts) A doctor would like to evaluate whether flu-frequency is different amon

Question

(15 pts) A doctor would like to evaluate whether flu-frequency is different among patients of various ages. He groups his most recent 12 patients into four groups according to age (pediatric, young adult, older adult, senior), and counts the frequency of their flu-related visits. Below is his data. Test the hypothesis that flu frequency is different among pediatric, adult, older adult, and senior patients using an alpha level of .01. Pediatric (15 pts) A doctor would like to evaluate whether flu-frequency is different among patients of various ages. He groups his most recent 12 patients into four groups according to age (pediatric, young adult, older adult, senior), and counts the frequency of their flu-related visits. Below is his data. Test the hypothesis that flu frequency is different among pediatric, adult, older adult, and senior patients using an alpha level of .01. Pediatric 6,4,5 Young adult 2,1,0 Older adult 4,0,0 Senior 7,9,12

Explanation / Answer

Null hypothesis (H0): Flu-frequency is not different among patients of various ages

Alternative hypothesis (H1): Flu-frequency is different among patients of various ages

For the given data, Anova single factor in data analysis (using excel) out put is

Decision rule: F calculated value > F critical value

i.e 13.30081 > 7.590992

Therefore, Reject H0

Conclusion: At alpha = 0.01 L.O.S, Flu-frequency is different among patients of various ages

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Pediatric 3 15 5 1 Young adult 3 3 1 1 Older adult 3 4 1.333333 5.333333 Senior 3 28 9.333333 6.333333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 136.333333 3 45.44444 13.30081 0.001782 7.590992 Within Groups 27.3333333 8 3.416667 Total 163.666667 11

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