Question

You are asked to analyze the below speed data collected on a highway on different days of the week for similarity. Use ANOVA (analysis of variance) to support your conclusion by performing the following tasks:

Sample 1 (mph)	Sample 2 (mph)	Sample 3 (mph)
50	45	55
55	50	60
50	55	50
50	60	45
60	40	40

State your null hypothesis (H0) and alternative hypothesis (H1)

State your assumed level of significance (αα)

Calculate mean for sample 1

Calculate mean for sample 2

Calculate grand mean for sample 1 & 2

Calculate SSB (between sample sum of square errors) and the associated degree of freedom

Calculate SSW (within sample sum of square errors) and the associated degree of freedom

Calculate SST (total sample sum of square errors) and the associated degree of freedom (Hint: this validates the accuracy of your calculated SSB and SSW values)

Calculate the F value

State the critical F value (table value based on your assumed level of significance)

Make your conclusion whether or not the speed reduction strategy was effective and state why?

Answer by hand not excel please.

Answer 1