A sample of 65 electric motors had a mean efficiency of 0.595 with a standard deviation of
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A sample of 65 electric motors had a mean efficiency of 0.595 with a standard deviation of 0.05 . Let \(\mu\) represent the mean efficiency of electric motors of this type.
a. Find the \(P\)-value for testing \(H_{0}: \mu \geq 0.6\) versus \(H_{1}: \mu<0.6\).
b. Either the mean efficiency is less than 0.6 , or the sample is in the most extreme \(\%\) of its distribution.
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