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If the manufacturers claim is true what is the probability

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A manufacturer claims that its wood treatment protects outdoor wood fences a mean of 2601 days with a standard deviation of 40.9 days. Assume a normal distribution. In a test of the claim, the wood treatment of a randomly selected fence lasted 2540 days.

(a) If the manufacturer's claim is true, what is the probability that the wood treatment on a randomly selected fence lasts a time less than 2540 days?

(b) Answer the question in (a) if the standard deviation is 25.1 days instead of 40.9 days.

Reference no: EM13609473

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