Recall that the randomization test for the data in Example 3.5 fails to find evidence of a significant increase in the amount of wear with material B. Does this mean that material B has equivalent wear to material A? Explain.

Data from Example 3.5

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Example 3.5 (Wear of boys' shoes). Measurements on the amount of wear of the soles of shoes worn by 10 boys were obtained by the following design (this example is based on 3.2 in Box et al. [2005]). Each boy wore a special pair of shoes with the soles made of two different synthetic materials, A (a standard material) and B (a cheaper material). The left or right sole was randomly assigned to A or B, and the amount of wear after one week was recorded (a smaller value means less wear). During the test some boys scuffed their shoes more than others, but each boy's shoes were subjected to the same amount of wear.