**One-Way ANOVA: Hypothesis Testing Process****Study Overview:**To investigate the effectiveness of different treatments for insomnia, a study was conducted by a sleep researcher involving 12 participants. The participants were divided into three groups:- Four participants counted sheep (Sheep Condition).- Four participants focused on their breathing (Breathing Condition).- Four participants were given no special instructions (Control Condition).The time taken for each participant to fall asleep was recorded in minutes during a sleep laboratory session.**Objective:**Utilize a One-Way ANOVA with a significance level of \( p < 0.05 \) to determine if there are significant differences in the time taken to fall asleep among the three conditions. Perform follow-up tests if necessary and compute eta-squared to assess the effect size.**Data:**| | Sheep Condition | Breathing Condition | Control Condition ||---------------------|-----------------|---------------------|-------------------|| **Sleep Time (min)**| | | || | 14 | 25 | 45 || | 28 | 22 | 33 || | 27 | 17 | 30 || | 31 | 14 | 41 |**Summary Statistics:**- **Sheep Condition:** - \( n = 4 \) - \( T = 100 \) - \( SS = 170 \)- **Breathing Condition:** - \( n = 4 \) - \( T = 78 \) - \( SS = 73 \)- **Control Condition:** - \( n = 4 \) - \( T = 149 \) - \( SS = 144.75 \)- **Total:** - \( N = 12 \) - \( G = 327 \) - \( \Sigma X^2 = 9959 \)Conduct a detailed analysis using the above data to evaluate the efficacy of the treatments.

The hypothesis test is a statistical method in which one using the sample data try to check the…

Answered: 1. To study the effectiveness of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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