### Analysis of Independent-Measures Experiment**Raw Data from an Independent-Measures Experiment**The table below presents raw data from an independent-measures experiment comparing three different treatment conditions. The rows represent different observations within each treatment group, and the columns represent the different treatments.| Treatment 1 | Treatment 2 | Treatment 3 ||-------------|-------------|-------------|| 0 | 1 | 3 || 1 | 4 | 3 || 0 | 1 | 4 || 3 | 2 | 5 || **X̄ = 1** | **X̄ = 2** | **X̄ = 3.75** |**Description:**- In Treatment 1, the observations are 0, 1, 0, and 3, resulting in an average (X̄) of 1.- In Treatment 2, the observations are 1, 4, 1, and 2, resulting in an average (X̄) of 2.- In Treatment 3, the observations are 3, 3, 4, and 5, resulting in an average (X̄) of 3.75.**Statistical Analysis:**To evaluate the effect of the independent variable, researchers conducted an independent-measures one-way ANOVA (Analysis of Variance). The computed values are as follows:- **Sum of squares between groups (SSB):** 15.5- **Sum of squares within groups (SSW):** 14.75**Hypothesis Testing:**The hypothesis for the ANOVA can be stated as follows:- **Null Hypothesis (H₀):** There is no significant difference in the means across the three treatments.- **Alternative Hypothesis (Hₐ):** At least one treatment mean is significantly different from the others.**Decision:**Based on the provided sum of squares, should you reject or fail to reject the null hypothesis?- ◯ Reject- ◯ Fail to reject

The sum of squares between groups to be 15.5 and the sum of squares within groups 14.75.

Answered: Raw data in the table below come from…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.4: Two-ways Tables

Problem 19E

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