Assume That a Hypothesis Test of the Given Claim Will $$\sigma = 14.7$$

question 109

Multiple Choice

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test
-The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $$\sigma = 14.7$$ Identify the type I error for the test.

• A)The error of rejecting the claim that the standard deviation is less than 14.7 when it really is less than 14.7.
• B)The error of failing to reject the claim that the standard deviation is at least 14.7 when it is actually less than 14.7.
• C)The error of rejecting the claim that the standard deviation is at least 14.7 when it really is at least 14.7.

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Definitions:

Prokaryotes

Organisms whose cells lack a nucleus and other membrane-bound organelles, including bacteria and archaea.

Lac Operon

A regulatory unit in the DNA of bacteria that controls the metabolism of lactose, consisting of genes coding for proteins involved in lactose processing and the regulatory elements controlling them.

Structural Genes

Genes that code for proteins which serve as building blocks for cells and tissues or take part in chemical reactions within the organism.

Regulatory Sequences

DNA sequences that are involved in controlling the expression of genes, determining when and where genes are turned on or off.