STAT 3500 Assignment 3 Due Thursday February 15 You do not need Minitab to compl

Question

STAT 3500 Assignment 3 Due Thursday February 15 You do not need Minitab to complete this assignment An experiment was conducted using a randomized block design with one factor. The data from the experiment are displayed in the following table: Treatment Block 1. (25 points) Create the ANOVA table by hand, given that SST-21.5555, SSTO- 30.2222 and CM-266.7778. The easier computation formulas are on page F-10 in the formula packet. (25 points) Perform a hypothesis test with -.05 to determine if the treatment has a significant effect on the mean response. Give the hypotheses, test statistic, critical value, conclusion, and interpretation. 2. 3. (25 points) Is it necessary to compare treatment level means? Why or why not? 4. (25 points) Was it helpful to use the blocking factor? Give the test statistic and the critical value, using -05, to justify your answer.

Explanation / Answer

1. From the given data,

SSB = (267.667/3) - 266.777 = 0.88889

2. H0: There is no significance difference between the means of treatment

H1: There is significance difference between the means of treatment

Let the los be alpha = 5%

Test Statistic F = 5.542

Critical value = 6.9444

Here F value < F critical value, and P-value = 0.07 > alpha 0.05, so we accept H0

Thus we conclude that There is no significance difference between the means of treatment

3. No, no need to mean comparisons since all treatment effects are equal

4.

H0: There is no significance difference between the means of block

H1: There is significance difference between the means of block

Let the los be alpha = 5%

Test Statistic F = 0.22857

Critical value =

Here F value < F critical value, and P-value = 0.805 > alpha 0.05, so we accept H0

Thus we conclude that There is no significance difference between the means of blocks

Block Treatment M A K Ti Ti^2/3 1 2 3 5 10 33.33333 2 8 6 7 21 147 3 7 6 5 18 108 Tj 17 15 17 49 288.3333 Tj^2/3 96.33333333 75 96.33333333 267.6667

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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