There are two car battery producers, such as A and B. The mean lifetimes of batteries are 1424 and 1624days from the producers of A and B, respectively. The standard deviations of the batteries from both manufacturers are 200 and 100 days for A and B, respectively. Random samples of 120 batteries from each company are selected for the test.

a) Please find the probability for the Brand A batteries that the average lifetime is at most 960 days.

b) Find the probability for the Brand A batteries that the average lifetime is 150 days more than the batteries from Brand B.

## cers, such as A and B. The mean lifetimes of batteries are 1424 and 1624days from the producers of A and B, respectively. The standard deviations of the batteries from both manufacturers are 200 and 100 days for A and B, respectively. Random samples of 120 batteries from each company are selected for the test. a) Please find the probability for the Brand A batteries that the average lifetime is at most 960 days. b) Find the probability for the Brand A batteries that the average lifetime is 150 days more than the batteries from Brand B.

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