SCENARIO 9-4
a Drug Company Is Considering Marketing a New $H _ { 0 } : \mu = 7.4$

question 128

Short Answer

SCENARIO 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 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, 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.
-Referring to Scenario 9-4, the appropriate hypotheses are: a) $H _ { 0 } : \mu = 7.4$ versus $H _ { 1 } : \mu \neq 7.4$
b) $H _ { 0 } : \mu \leq 7.4$ versus $H _ { 1 } : \mu > 7.4$
c) $H _ { 0 } : \mu \geq 7.4$ versus $H _ { 1 } : \mu < 7.4$
d) $H _ { 0 } : \mu > 7.4$ versus $H _ { 1 } : \mu \leq 7.4$

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Definitions:

Thermoplastics

A type of plastic material that becomes moldable above a specific temperature and solidifies upon cooling, allowing for easy reshaping.

Isotactic

Referring to a configuration in polymers where all substituents on the polymer chain are arranged on the same side.

Atactic

Refers to polymers where the configuration of chiral centers is random.

Highly Branched

Refers to a molecule or polymer with numerous branches or side chains, significantly affecting its physical and chemical properties.