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TABLE 9-3 A Drug Company Is Considering Marketing a New Local Anesthetic

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TABLE 9-3
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation. The company will market the new local anesthetic as being better if there is evidence that the population mean effective time is greater than the 7.4 minutes of the current local anesthetic.
-Referring to Table 9-3, if you select a sample of 25 new local anesthetics and are willing to have a level of significance of 0.1, the probability of a Type II error is ________ if the population mean effective time is 8 minutes.


Definitions:

Biconditional

A logical statement in which both parts imply each other; it is true when both parts have the same truth value.

Tautologies

Statements that are true in every possible interpretation because they affirm by their structure, such as "either it will rain today or it won't."

Main Components

Fundamental parts or elements that are essential to the structure or function of something.

Antecedent

In logic and grammar, an antecedent is the preceding clause, phrase, or word to which a pronoun, another word, or a noun refers.

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