A pharmaceutical manufacturer wants to investigate the bioactivity of a new drug. A completely randomized single-factor...

A pharmaceutical manufacturer wants to investigate the bioactivity of a new drug. A completely randomized single-factor experiment was conducted with three dosage levels, and the following results were obtained. Use R to run ANOVA to test if the dosage has some effects or not.

Dosage	Observations
20g	24	28	37	30
30g	37	44	31	35
40g	42	47	52	38

a. Find the test statistic.

b. Find the p-value (Please input a decimal value. Please input 0 or 0.0001 if it is smaller than 0.0001 ) .

Solutions

Expert Solution

Anova: Single Factor

SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	4	119	29.75	29.58333
Column 2	4	147	36.75	29.58333
Column 3	4	179	44.75	36.91667


ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	450.6667	2	225.3333	7.0356	0.0145	4.2565
Within Groups	288.25	9	32.0278

Total	738.9167	11

the p-value for this ANOVA rounded to 6 decimal places is 0.014464.

milcah answered 8 months ago

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