Have you ever noticed that when you tear a fingernail, it tends to tear to the side and not down into the finger? A possible reason for this might be that fingernails are tougher in one direction than another. To test this theory Farren et al. (2004) compared the toughness of human fingernails along a transverse dimension (side to side) with the toughness along a longitudinal direction, with 13 measurements of each. The toughness of fingernails along a transverse direction averaged 3.3 kJ/m², with a standard deviation of 0.52, while the mean toughness along the longitudinal direction was 6.2kJ/m², with a standard deviation of 1.98. Assume that the data are from two independent samples of 13 people What is the standard error of the difference (SEY, -) in the toughness of these fingernails along the two dimensions? (calculate your answer to three decimal places)

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