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Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours and a standard deviation of 5.6 hours. As a part of its quality assurance program,

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours and a standard deviation of 5.6 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries.


normal distribution with 1.8667 standard error


  1. What proportion of the samples will have a mean useful life of more than 37 hours? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

  2. What proportion of the samples will have a mean useful life greater than 33 hours? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

  3. What proportion of the samples will have a mean useful life between 33 and 37 hours? (Round your z value to 2 decimal places and final answer to 4 decimal places.)


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