### Analysis of Variance (ANOVA) on Chocolate Chip CookiesThis example provides an ANOVA analysis of the counts of chocolate chips from three different types of Chips Ahoy cookies. It uses a 0.05 significance level to determine if the three types of cookies have the same mean number of chocolate chips.#### ANOVA Table| Source | DF | SS | MS | F-Stat | P-value ||----------|----|---------|-----------|----------|----------|| Columns | 2 | 1124.8000 | 562.40000 | 57.3017 | <0.0001 || Error | 77 | 755.73333| 9.8147186 | | || Total | 79 | 1880.5333| | | |- **DF:** Degrees of Freedom- **SS:** Sum of Squares- **MS:** Mean Square- **F-Stat:** F Statistic- **P-value:** Probability value#### Hypotheses- **Null Hypothesis (H₀):** The three different types of chocolate chip cookies have the same mean number of chocolate chips.- **Alternative Hypothesis (H₁):** The three different types of chocolate chip cookies do not have the same mean number of chocolate chips.#### Test Statistic- **The test statistic (F-Stat)** is 57.3017 (rounded as necessary).#### P-value- **The P-value** is less than 0.0001.#### ConclusionSince the P-value is less than the significance level of 0.05, there is sufficient evidence to reject the null hypothesis. Therefore, there is a significant difference in the mean number of chocolate chips among the three different types of chocolate chip cookies.This ANOVA test helps in understanding whether the variation in chocolate chips counts is statistically significant across the different types of cookies.

A data set includes the counts of chocolate chips from three different types of Chips Ahoy…

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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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