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A manufacturer is interested in the output voltage of a power supply used in a PC....

A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed with standard deviation 0.25 volt, and the manufacturer wishes to test H0:μ= 5 volts against H1:μ≠5 volts. Calculate the probability of a type II error if the true mean output is 5.05 volts and

(a) α = 0.05 and n = 10

(b) α = 0.05 and n = 16

(c) Compare the values of β calculated in the previous parts. What conclusion can you draw?

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