Consider the data on maximum load for cracked wood beams presented in Exercise 4. Would it make sense to apply Tukey’s method to this data? Why or why not?

Data From Exercise 4

The article “Load-Carrying Capacity of Lengthwise Cracked Wood Beams Retrofitted by Self-Tapping Screws” (J. Struct. Engr. 2017) provides data on the maximum load (kN) of J = 5 specimens of I = 4 types of wood beams used in housing: intact beams (L1), long, centered cracks (L2), short, centered cracks (L3), and long, offcenter cracks (L4).

Use a significance level of .05 to test the null hypothesis of no difference in true average maximum load for these four beam types.

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Beam type LI L2 L3 L4 Maximum load (kN) 32.53 19.18 7.50 18.18 21.89 13.15 10.62 6.75 16.08 14.12 13.25 18.52 12.02 18.83 12.80 26.95 13.19 11.55 24.63 23.63