The Sony Corporation produces an AM/FM Walkman that requires two AA batteries. The mean life of these batteries is 35.0 hours. The distribution of the battery lives closely follows the normal distribution with a standard deviation of 5.5 hours. As a part of their testing programme, Sony tests samples of 25 batteries.   a)What fraction of the sample will have a mean useful life of greater than 34.5 hours?   b)What fraction of the sample will have a mean useful life between 34.5 and 36.0 hours?

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The Sony Corporation produces an AM/FM Walkman that requires two AA batteries. The mean life of these batteries is 35.0 hours. The distribution of the battery lives closely follows the normal distribution with a standard deviation of 5.5 hours. As a part of their testing programme, Sony tests samples of 25 batteries.

 

a)What fraction of the sample will have a mean useful life of greater than 34.5 hours?

 

b)What fraction of the sample will have a mean useful life between 34.5 and 36.0 hours?

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