A pool of participants was randomly divided into FIVE treatment groups. The grou

Question

A pool of participants was randomly divided into FIVE treatment groups. The groups were administered daily doses of vitamin C over a 12-month period. The data in the table represents the number of cold and flu viruses reported by the participant as a function of their vitamin C dosage. Using = .05, analyze the data using the correct statistical procedure. 250 mg 500 mg 1000 mg 2000 mg mg 0 3 0 (A) Compute the F value for the above ANOVA analysis Express your answer in two decimal digits (b) Compute the F critical value for the above ANOVA analysis Express your answer in 2 decimal digits (c) was the treatment effective? = .05 Yes, No,

Explanation / Answer

Here one way ANOVA will be used. Following is the output of ANOVA analysis generated by excel:

(A)

The F value of ANOVA anaysis is

F-value = 3.92

(B)

The F critical value is

F-crit = 3.06

(C)

Since F-value > F-crit so the treatment was effective.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance 0 mg 4 16 4 3.333333333 250 mg 4 16 4 0.666666667 500 mg 4 12 3 0.666666667 1000 mg 4 8 2 3.333333333 2000 mg 4 4 1 0.666666667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 27.2 4 6.8 3.923076923 0.02250724 3.055568276 Within Groups 26 15 1.733333 Total 53.2 19

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