SCENARIO 9-4
a Drug Company Is Considering Marketing a New $H _ { 0 } : \mu = 7.4 \text { versus } H _ { 1 } : \mu \neq 7.4$

question 121

Multiple Choice

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)\(H _ { 0 } : \mu = 7.4 \text { versus } H _ { 1 } : \mu \neq 7.4\)
• B)\(H _ { 0 } : \mu \leq 7.4 \text { versus } H _ { 1 } : \mu > 7.4\)
• C)\(H _ { 0 } : \boldsymbol { \mu } \geq 7.4 \text { versus } H _ { 1 } : \mu < 7.4\)
• D)\(H _ { 0 } : \boldsymbol { \mu } > 7.4 \text { versus } H _ { 1 } : \mu \leq 7.4\)

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