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My wife is arguing with me, stating that I spend at least 6 hours (360 minutes) per day doing nothing. I randomly selected 6

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My wife is arguing with me, stating that I spend at least 6 hours (360 minutes) per day doing nothing. I randomly selected 6 days and found that the average time for me doing nothing is 5 and a half hours (330 minutes) with a standard deviation of 1/4 hour( 15 minutes). Assuming that the time of doing nothing is normally distributed, I would like to know if I have enough evidence to reject my wife's claim. How much is the value that will separate the region of rejection from the non-rejection region? if you are using StatDisk round your answer to 3 decimal places, otherwise enter the exact value from a chart.

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