To test whether arousal or stress levels increase as the difficulty of a task increases, eight participants were asked to complete an easy, typical or difficult task. Their galvanic skin response (GSR) was recorded. A GSR measures the electrical signals of the skin in units called microSiemens, with higher signals indicating greater arousal or stress. The data for each task is given in the dataset attached.Write the null hypothesis in symbols and words and write the alternative hypothesis in symbols and wordsBy hand, calculate each degrees of freedom. Show calculations. Use software to obtain the test statistic and p-value. Report the ANOVA table.Make a decision about the null using the p-value approach. If appropriate, calculate and interpret the effect size. If not, state why.Write the conclusion in APA style. The table contains three columns labeled "Easy," "Typical," and "Diff." Here are the values in each column, listed from top to bottom:- **Easy:** 2.6, 3.9, 3.4, 1.2, 2.1, 1.2, 1.8, 2.2- **Typical:** 5.6, 4.5, 3.7, 2, 3.3, 4.6, 3.1, 2- **Diff:** 9, 5.6, 3.5, 7.8, 6.4, 7.5, 4.4, 3.8This table could represent an analysis or comparison of different data sets under various conditions such as "Easy" and "Typical," with the "Diff" column indicating some form of difference or result calculated from these conditions. Each row corresponds to a particular data comparison or calculation.

Answered: Easy 2.6 3.9 3.4 1.2 2.1 1.2 1.8 2.2…

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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To test whether arousal or stress levels increase as the difficulty of a task increases, eight participants were asked to complete an easy, typical or difficult task. Their galvanic skin response (GSR) was recorded. A GSR measures the electrical signals of the skin in units called microSiemens, with higher signals indicating greater arousal or stress. The data for each task is given in the dataset attached.
1. Write the null hypothesis in symbols and words and write the alternative hypothesis in symbols and words
2. By hand, calculate each degrees of freedom. Show calculations. Use software to obtain the test statistic and p-value. Report the ANOVA table.
3. Make a decision about the null using the p-value approach. If appropriate, calculate and interpret the effect size. If not, state why.Write the conclusion in APA style.

The table contains three columns labeled "Easy," "Typical," and "Diff." Here are the values in each column, listed from top to bottom:

- **Easy:** 2.6, 3.9, 3.4, 1.2, 2.1, 1.2, 1.8, 2.2
- **Typical:** 5.6, 4.5, 3.7, 2, 3.3, 4.6, 3.1, 2
- **Diff:** 9, 5.6, 3.5, 7.8, 6.4, 7.5, 4.4, 3.8

This table could represent an analysis or comparison of different data sets under various conditions such as "Easy" and "Typical," with the "Diff" column indicating some form of difference or result calculated from these conditions. Each row corresponds to a particular data comparison or calculation.

Expert Solution

Step 1: Defining the ANOVA

ANOVA definition

In order to assess whether there are statistically significant differences between the means of three or more groups, ANOVA is a statistical method.

Given that,

Eight participants were asked to complete an easy, typical, or difficult task. Their galvanic response was recorded. It is asked to test whether there is a difference between the responses or not.