The mean lifetime of a sample of 100 fluorescent light bulbs produced by a company is computed to be 1650 hours with a standard deviation of 140 hours. If μ is the mean lifetime of all the bulbs produced by the company, test the hypothesis μ = 1700 hours against the alternative hypothesis μ ≠ 1700 hours, using a level of a significance of 0.01, and then find the P value of the test.

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