Here are the results of a survey of quarter mile times for three electric vehicles: Mercedes Benz AMG, Polestar, and Jaguar I-Pace. The research question: Are the average quarter mile times among these electric vehicles unequal? And, if they are, which of the pairs are unequal?

2) Select a Level of Significance, α

A 5 percent significance level has been selected. What is the Critical Value of F? Please Note: You will not find the critical value on a standard F-distribution table. Use Excel’s F.INV.RT function. Excel’s “Anova: Single Factor” tool also reports the critical value of F. Do not show the ANOVA Table here.

3) State the Null and Alternate Hypotheses

H₀:

H₁:

4) Compose a Decision Rule

5) Data Analysis. Create an ANOVA table. Calculate and interpret the eta-square Effect Size. Calculate Statistical Power and the probability of a Type II error. When necessary, conduct a complete LSD Confidence Interval post hoc analysis. Do not use any other post hoc method. All of your calculations must go here.

ANOVA Table:

Effect Size, Statistical Power, and the Probability of a Type II Error:

Effect Size and Interpretation:

Statistical Power:

Probability of a Type II Error:

Interpretation of Statistical Power:

LSD Confidence Interval Post Hoc Analysis:

6) Decide and Report. Conduct a post hoc analysis if you reject the Null Hypothesis

Please Note: You report must be framed in the context of the research question. Merely stating that you rejected or failed to reject the Null Hypothesis is not sufficient. You must consider the issues of statistical power, Effect Size, and practical significance in your report.