Question: PLEASE HAND WRITTEN AND SHOW WORK 1. An experiment was performed to compare the abrasive wear of two different laminated materials. 14 pieces of material

PLEASE HAND WRITTEN AND SHOW WORK

1. An experiment was performed to compare the abrasive wear of two different laminated materials. 14 pieces of material 1 were tested by exposing each piece to a machine measuring wear. 9 pieces of material 2 were similarly tested. In each case, the depth of wear was observed. The samples of material 1 gave an average (coded) wear of 85 units with a sample standard deviation of 4, while the samples of material 2 gave an average of 81 with a sample standard deviation of 5. Can we conclude at the 0.05 level of signicance that the abrasive wear of material 1 exceeds that of material 2 by more than 3 units? Assume the populations to be approximately normal with equal variances. (100 points)

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