In the text Handbook of Biological Statistics (Baltimore: Sparky House Publishing, 2008), J. McDonald presented sample data on a shell measurement (the length of the anterior adductor muscle scar, standardized by dividing by length) in the mussel Mytilus trossulus from five locations: Tillamook, Oregon; Newport, Oregon; Petersburg, Alaska; Magadan, Russia; and Tvarminne, Finland. The summary statistics are shown in the following table. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean shell measurement among the mussel Mytilus trossulus in the five locations.

For the degrees of freedom in this exercise:

Refer to the discussion of using summary statistics in one-way ANOVA. We have provided values of Fα not given in Table VI.

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Locationi Tillamook 10 0.080 0.012 Newport 8 0.75 0.009 Petersburg 0.103 0.016 Magadan8 0.078 0.013 Tvarminne 6 0.096 0.013 α 10. 10 0.05 0.025 0.01 0.005 F 2.12 2.65 3.19 3.93 4.50