Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 13.3 minutes. The standard deviation of completion times was 1.6 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ , is now less than 13.3 minutes. To test this claim, a random sample of 80 completion times under new management was taken by the analyst. The sample had a mean of 13.2
Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of
minutes. The standard deviation of completion times was
minutes. An analyst at the company suspects that, under new management, the mean completion time,
, is now less than
minutes. To test this claim, a random sample of
completion times under new management was taken by the analyst. The sample had a mean of
minutes. Can we support, at the
level of significance, the claim that the population mean completion time under new management is less than
minutes? Assume that the population standard deviation of completion times has not changed under new management.
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
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