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For a certain wine, the mean pH (a measure of acidity) is supposed to be 3.44 with a known standard deviation of σ = .11. The quality inspector examines 26 bottles at random to test whether the pH is too low, using a left-tailed test at α = 0.1.
(a) What is the power of this test if the true mean is μ = 3.42? (Round your Z-value to 3 decimal places and final answer to 4 decimal places.)
Power
(b) What is the power of this test if the true mean is μ = 3.40? (Round your Z-value to 3 decimal places and final answer to 4 decimal places.)
(c) What is the power of this test if the true mean is μ = 3.38? (Round your Z-value to 3 decimal places and final answer to 4 decimal places.)
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