An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were tested by exposing each piece to a machine measuring wear. Ten pieces of material 2 were similarly tested. In each case, the depth of wear was observed. The samples of material 1 gave an average wear of 85 units with a sample standard deviation of 4, while the samples of material 2 gave an average of 81 units and a sample standard deviation of 5. Can we conclude at the 0.05 level of significance that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units? Assume that the population to be approximately normal with potentially unequal variances.
An experiment was performed to compare the abrasive wear of two different laminated
materials. Twelve pieces of material 1 were tested by exposing each piece to a machine measuring wear.
Ten pieces of material 2 were similarly tested. In each case, the depth of wear was observed. The
samples of material 1 gave an average wear of 85 units with a sample standard deviation of 4, while the
samples of material 2 gave an average of 81 units and a sample standard deviation of 5. Can we
conclude at the 0.05 level of significance that the abrasive wear of material 1 exceeds that of material 2
by more than 2 units? Assume that the population to be approximately normal with potentially unequal
variances.
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