SCENARIO 9-12 A Drug Company Is Considering Marketing a New Local Anesthetic.The

question 6

Short Answer

SCENARIO 9-12
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 Scenario 9-12,if you select a sample of 25 new local anesthetics and are willing to have a level of significance of 0.05,the probability of the company not marketing the new local anesthetic when it is not better is .

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Definitions:

Rejection Region

The range of values for which the null hypothesis is not considered likely and is rejected in a statistical test.

Nonparametric Tests

Statistical tests that do not assume the data come from a particular distribution, often used when dealing with ordinal data or when the normality assumption is violated.

Parametric Tests

Statistical tests based on assumptions about the population distribution from which the sample is drawn, typically involving parameters like mean and standard deviation.

Normal Approximation

A method used to estimate the shape of a binomial distribution using a normal distribution when the sample size is large.