A Botanist Creates a Test of Hypothesis to Decide If

question 11

Multiple Choice

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? (Use α = 0.05,)

• A) 0.9500
• B) 0.9999
• C) 0.1370
• D) 0.2181

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