What is the total sample size and how many treatments are there? What is the cal

Question

What is the total sample size and how many treatments are there?

What is the calculated value of F?

What is the critical value of F?

Write out the null and alternate hypothesis:

What is your decision regarding the null hypothesis?

Develop a confidence interval for Treatment 2 and 3. Are these means different? Why?

The results of a one-way ANOVA are reported below. Use the 0.05 significance level HDL Exercise 60 65 63 70 79 75 No Exercise &No; Diet 30 40 39 35 75 69 79 35 47 65 Anova: Single Factor SUMMARY Groups Count Exercise Diet No Exercise &No; Diet 581 725 364 Average Variance 64.55556 86.77778 80.55556 46.27778 40.44444 51.27778 9 ANOVA F crit MS 3669.37 Source of Variation P-value 4.82E-10 Between Groups Within Groups 7338.74 1474.67 61.44444 Total 8813.41 26

Explanation / Answer

As per the chegg policy, we are advised to do first four subparts of the question.

1. Total sample size = Total degrees of freedom + 1 = 26 + 1 = 27

Number of treatments = Between square degrees of freedom + 1 = 2 + 1 = 3

2. Calculated value of F = 3669.37/61.44444 = 59.72

3. For 2 numerator degrees of freedom and 24 denominator degrees of freeom at 0.05 level of significance,

Critical F value = 3.403

4. Null and Alternative Hypotheses:

Ho: The treatment means are equal.

Ha: At least one of the treatment mean is different.

5. Decision: Since F calculated is greater than F critical value, we reject the null hypothesis and conclude that at least one of the treatment mean is different.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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