The Acme Company has developed a new battery. The engineer in charge claims thatthe new battery will operate continuously forat least7 minutes longer than the oldbattery. To test the claim, the company selects a simple random sample of 100 newbatteries and 100 old batteries. The old batteries run continuously for 190 minutes witha standard deviation of 20 minutes; thenew batteries, 200 minutes with a standarddeviation of 40 minutes.Test the engineer's claim that the new batteries run at least 7minutes longer than the old. Use a 0.05 level of significance

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