A pharmaceutical manufacturer wants to investigate the bioactivity of a new drug

Question

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.

Dosage Observations

20g 24 28 37 30

30g 37 44 31 35

40g 42 47 52 38

we would like to conduct a hypothesis test to check whether dosage level affect bioactivity. if we have jnown that data do not follow the normal distribution please chose the adequate methods for this hypothesis test alpha=0.05? (solve manually please dont use minitab)

Explanation / Answer

H0: There is no difference between means of three doses

H1: There is a difference between means of three doses

alpha:5%

Test statistic:

From Excell

Fcal=7.0356

Conclusion:

P value=0.0145 <0.05, we reject the H0. Hence claim is significant.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance 20g 4 119 29.75 29.58333 30g 4 147 36.75 29.58333 40g 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 7.035559 0.014464 4.256495 Within Groups 288.25 9 32.02778 Total 738.9167 11

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.