SCENARIO 9-4 A Drug Company Is Considering Marketing a New Local Anesthetic.The

question 39

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 an 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,for a test with a level of significance of 0.10,the critical value would be .

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Definitions:

Dot-scale Diagrams

A graphical representation where dots are used to depict frequencies of categories for small or medium-sized datasets.

Box-and-whisker Plots

Graphical representations of a dataset that show the distribution's minimum, first quartile, median, third quartile, and maximum.

Cumulative Relative Frequency

A statistical measure showing the sum of relative frequencies up to a certain class or category, indicating the proportion of data points that fall within that category or below.

Total Sample

The full collection of individuals, items, or data points that have been selected or gathered for analysis in a study.