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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.
-If a researcher accepts a false null hypothesis, she has made a(n)______ error.

Recognize the importance of environmental factors and community infrastructure in disease prevention.
Understand the historical development of public health initiatives and their impact on community health.
Analyze the role of government and non-governmental organizations in the advancement of public health.
Identify key figures and their contributions to public health and nursing.

Definitions:

Chi-squared Distribution

A statistical distribution that is used to describe the distribution of a sum of squared random variables, often used in hypothesis testing.

Chi-squared Distribution

A statistical distribution that describes the distribution of the sum of the squares of a set of variables that follow a normal distribution, commonly used in hypothesis testing.

Positively Skewed

A distribution shape where the tail is longer on the right side, indicating that the mean and median are greater than the mode.

Chi-squared Distribution

A probability distribution that describes the distribution of the sum of the squares of variables that are independently distributed according to a standard normal distribution.

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