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

question 120

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 7.0 using a 0.05 level of significance?

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Definitions:

Production Budget

A forecast of the quantity of products that must be manufactured in a specified time period to meet customer demand and maintain inventory levels.

Ending Inventory

The total value of goods available for sale at the end of an accounting period, calculated as beginning inventory plus purchases minus cost of goods sold.

Budgeted Sales

Predicted sales revenue for a future period, based on historical data, market analysis, and other forecasting methods.

Cash Collected

The total amount of money received by a company or individual during a specific period, typically from sales, services, or other transactions.