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A manufacturer of batteries randomly samples 10 of its batteries giving a mean lifetime of 6 hours with standard deviation of 1 hour. (a) Is

A manufacturer of batteries randomly samples 10 of its batteries giving a mean lifetime of 6 hours with standard deviation of 1 hour.

(a) Is there sufficient evidence to conclude that the true mean lifetime is longer than 5 hours?Test ata= 0.1.

(b) Describe Type I and Type II errors in the context of this problem.

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