Math Problem Statement
The following randomly selected sample data comes from two independent populations for which ANOVA is appropriate. Treatment One - 4.1, 3.6, 4.1, 7.1, 3.8 Treatment Two - 3.8, 3.5, 4, 4.1, 4.3 Give all answers accurate to at least 3 places after the decimal point. With technology (such as a TI-83/84), use ANOVA to test the claim that the population means are equal (i.e. "u1 = u2"). F test statistic: P-value: Now perform a hypothesis test of the same claim using a t test statistic (using methods from Chapter 6). Hint: Think carefully about the required conditions of ANOVA. Since we are told that it is appropriate to use ANOVA to test the given claim for this data, we know that the three necessary conditions/ criteria are satisfied. This will help you determine whether you should pool the sample variances or not in this t test.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
ANOVA (Analysis of Variance)
Hypothesis Testing
Two-Sample t-Test
Formulas
F-statistic = Variance Between Groups / Variance Within Groups
Pooled Variance t-Test Formula
Theorems
Central Limit Theorem
ANOVA Assumptions (Independence, Normality, Equal Variances)
Suitable Grade Level
University Level (Statistics Course)
Related Recommendation
Comparing Means of Two Populations Using Two-Sample t-Test
Hypothesis Testing for Means and Variances of Two Independent Samples
How to Perform Variance Analysis for Two Groups with Different Sample Sizes
Calculate Test Statistic and P-Value for Two-Sample Hypothesis Test
Conduct ANOVA and Calculate F-ratio and P-value - Independent Measures Study