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TABLE 9-4 A Drug Company Is Considering Marketing a New Local Anesthetic

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TABLE 9-4
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 an average 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 normal with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.
-Referring to Table 9-4, what is the power of the test if the average effective time of the anesthetic is 7.5 using a 0.05 level of significance?


Definitions:

Bystanders

Individuals who are present at an event or incident but do not take part in it, often discussed in the context of emergency situations or accidents.

Congestion Toll

A fee charged to drivers who use certain roads during peak periods, intended to reduce traffic congestion by discouraging the use of those routes.

Internalizing

The process of absorbing or taking in information, values, or costs, often used when discussing the incorporation of external costs into market prices.

Externality

An economic effect of a transaction that affects third parties who did not choose to be involved in the transaction.

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