A manufacturer is interested at the output voltage of a power supply for the laptop. Output voltage is assumed to be normally distributed with standard deviation of 0.25 V. The required output voltage is 5V. 8 samples are collected with a sample mean of X = 5.1V. Does the data indicate that the true average output voltage is different from 5 V? (a) Test the hypothesis at a significance level of a = 0.01.

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