Mathematics, 21.03.2020 10:30 jackieeecx3

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 Volts, and the manufacturer wishes to test H0: µ = 5 Volts against H1: µ ≠ 5 Volts, using n = 8 units.
a. The acceptance region is 4.85 ≤ x-bar ≤ 5.15. Find the value of α.
b. Find the power of the test for detecting a true mean output voltage of 5.1 Volts.

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