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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Definitions:

Ethylene Glycol

A colorless, practically odorless, poisonous, and hygroscopic liquid with sweet taste, used as antifreeze in cooling and heating systems.

Acetal

An acetal is a functional group characterized by two ether-like oxygen atoms bonded to the same carbon atom, commonly formed from the reaction of an aldehyde and an alcohol.

Acetal

A carbon atom connected to an alkyl group, two -OR groups, and a hydrogen atom, typically formed from the reaction between an aldehyde and alcohol.

Ylide

A compound with opposite charges on adjacent atoms, typically consisting of a positively charged heteroatom adjacent to a negatively charged carbon.