An engineer was proud to have installed a new solar system at his house. The system was

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An engineer was proud to have installed a new solar system at his house. The system was economically feasible because the generated surplus power was sold to the power company. To the engineer’s dismay though, right after installation, every single day from around 11 a.m. to about 3 p.m. the system stopped selling back to the power company. After some observations, he noticed that the voltage in the power grid seemed to be higher than the expected value, 120 V. If the voltage in the power grid is too high, due to federal regulations, he will not be able to sell power back to the grid. He took 30 random voltage measurements during the time of the day in question and got an average of 130 V. The engineer was able to find out that the power grid voltage for the area is normally distributed with a standard deviation of 1 V. Conduct the five steps of hypothesis testing to determine if mean voltage in his neighborhood is higher than 120 V at 5% significance.

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