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Fifteen experimental batteries were selected at random from a lot at pilot plant A, and 15 standard batteries were selected at random from production at plant B. All 30 batteries were simultaneously placed under an electrical load of the same magnitude. The first battery to fail was an A, the second a B, the third a B, and so on. The following sequence shows the order of failure for the 30 batteries A B B B ABAABBBBA BA BB BBAABAAABA A A A (a) Using the large-sample theory for the U test, determine whether there is sufficient evi- batteries is different than the lengths of life for the standard batteries. Use a 0.05 dence to permit the experimenter to conclude that the lengths of life for the experimental (b) Do you make any assumptions in the test above?

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