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The mean commute time in the US seems to be increasing. The current mean is 25.1 minutes and suppose you know ? = 12. If you are testing at the 1% level of significance,

a) Find the power to find an increase of 1.5 minutes for a sample of 200.

b) How large a sample is needed to have 90% power to find an increase of 1.5 minutes?

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