uestion 14 (2.5 points) Consider the following calculations for a block design w

Question

uestion 14 (2.5 points) Consider the following calculations for a block design with 20 total observations.The response variable is products sold to 5 main customers (blocks) and the four consecutive years for which the data was collected Sum of Squares (Treatments)-50 Sum of Squares (Errors)- 12 What will be the conclusion for the Hypothesis Test for the difference in sales betwet years (treatments) at an alpha-0.05 Reject the Null Hypothesis Not enough statistical evidence to reject the Mll Hyothess Cannot make a statistical conclusion

Explanation / Answer

df(treatments)=number of treatment-1=4-1=3

df(error)=(treatment-1)*(blocks-1)=(4-1)*(5-1)=12

here MS(treatment) =SS(treatments)/df(treatments)=50/3

MS(error)=SS(error)/df(error)=12/12=1

hence test statsitic F =MS(treatment)/MS(error)=(50/3)/1=16.667

for 0.05 level and (3,12) degree of freedom critical value =3.24

as test statistic is higher than crtiical value ; correct conclusion isn:

Reject the null hypothesis

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

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