A Botanist Creates a Test of Hypothesis to Decide If

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