Preliminary Data Analyses Indicate That It Is Reasonable to Consider

question 26

Essay

Preliminary data analyses indicate that it is reasonable to consider the assumptions for one-way ANOVA satisfied. UseMinitab to perform the required hypothesis test using the p-value approach.
-At the 0.025 significance level, do the data provide sufficient evidence to conclude that a difference exists between the population means of the four different brands? The sample data are given below.

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Definitions:

Level of Significance

The probability of rejecting the null hypothesis in a statistical test when the hypothesis is true; often represented by alpha (α).

Grand Mean

The mean or average of several group means, which gives an overall measure of the central tendency across all the groups considered together.

Treatments

Interventions or conditions that researchers apply to experimental units or subjects to observe their effect on outcomes.

Level of Significance

A threshold of probability set before testing hypotheses, below which the null hypothesis is rejected.