The next two questions (23 and 24) refer to the following We conduct an experime

Question

The next two questions (23 and 24) refer to the following We conduct an experiment to compare the responses to five different treatments. Vol unteers are randomly assigned to receive one of the five treatments. Each treatment is assigned to the same number of individuals. The response variable is measured for each individual and an analysis of variance F test is conducted to assess the equality of the means for the five treatments. Responses for each of the five treatments are known to follow normal distributions with common standard deviation. The ANOVA table (with some values missing) is shown below Source of Variation Groups Error Total Sum of Squares 74.52 df Mean Squares F 60 5.78 23. How many individuals received each of the five treatments? (A) 11 (B) 12 (C) 13 (D) 14 (E) 15 24. One assumption required in conducting an ANOVA F test is that all population standard deviations are equal. The estimate of this common population standard deviation is: (A) 2.40 (B) 4.32 (C) 5.78 (D) 18.63 (E) 33.41

Explanation / Answer

completing ANOVA table"

23) number per treatment =(64+1)/5=13

24)std deviation =(MSE)1/2 =(5.78)1/2=2.40

Source of variation df SS MS F groups 4 74.52 18.63 3.223 error 60 346.8 5.78 total 64 421.32

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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