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  • https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/12%3A_F_Distribution_and_One-Way_ANOVA/12.03%3A_One-Way_ANOVA
    For example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizo...For example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizontal line through the box, help in the understanding of the hypothesis test. If the null hypothesis is false, then the variance of the combined data is larger which is caused by the different means as shown in the second graph (green box plots).
  • https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/12%3A_F_Distribution_and_One-Way_ANOVA/12.03%3A_One-Way_ANOVA
    For example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizo...For example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizontal line through the box, help in the understanding of the hypothesis test. If the null hypothesis is false, then the variance of the combined data is larger which is caused by the different means as shown in the second graph (green box plots).

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