Instruction 9-4 A Drug Company Is Considering Marketing a New Local Anaesthetic

Short Answer

Instruction 9-4
A drug company is considering marketing a new local anaesthetic. The effective time of the anaesthetic 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 anaesthetic 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 anaesthetic; otherwise, it will continue to produce the older drug. 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 Instruction 9-4,what is the probability of making a Type II error if the mean effective time of the anaesthetic is 7.5 using a 0.05 level of significance?