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 an average of 7.4 minutes with a standard devia- tion of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time sho- uld be normal with the same standard devia- tion, but the mean effective time may be lo- wer. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sam- ple of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. Test hypothesis in level of significance = 0.10

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· 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 an
average of 7.4 minutes with a standard devia-
tion of 1.2 minutes. The chemistry of the new
anesthetic is such that the effective time sho-
uld be normal with the same standard devia-
tion, but the mean effective time may be lo-
wer. If it is lower, the drug company will
market the new anesthetic; otherwise, they
will continue to produce the older one. A sam-
ple of size 36 results in a sample mean of 7.1.
A hypothesis test will be done to help make
the decision.
Test hypothesis in level of significance = 0.10
Transcribed Image Text:· 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 an average of 7.4 minutes with a standard devia- tion of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time sho- uld be normal with the same standard devia- tion, but the mean effective time may be lo- wer. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sam- ple of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. Test hypothesis in level of significance = 0.10
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