A botanist creates a test of hypothesis to decide if the stem diameters for a hybrid plant are larger than those for standard plants. Standard plants have a mean stem diameter of 39 mm and a standard deviation of 4 mm. The botanist randomly samples 30 hybrid plants and records the stem diameters for each. What is the probability of a type II error if the population mean diameter of the hybrid plants is 41 mm and she assumes the standard deviation is still 4 mm? (Useα= 0.05,)
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0.9500
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0.9999
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0.1370
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0.2181