Question

In: Math

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.


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