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

Short Answer

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 0.05, the probability of the company failing to market the new local anesthetic when it is better is ________ if the population mean effective time is 8 minutes.