In: Statistics and Probability
Researchers conducted a study to determine the effects of different types of alcohol on the peak alcohol concentration. In one part of the study, the researchers gave 15 randomly select males a controlled volume of vodka and monitored the subjects' alcohol concentration following the period of consumption.
The legal limit for driving is 80 mg/dL (milligrams per deciliter of blood). A hypothesis test was conducted to see if the mean peak alcohol concentration from drinking vodka was different from the legal driving limit. This was reflected in the null and alternative hypotheses
H0:?H1:?=80 mg/dL?80 mg/dL
The researchers required their results to be statistically significant at a level of ?=0.05.
The mean peak alcohol concentration of the participants after drinking a controlled volume of vodka was 77.4 mg/dL with a standard deviation of 17.25 mg/dL.
Determine the confidence interval that corresponds to the t?test. Give the lower and upper bounds precise to two decimal places.
Adapted from Mitchell, M.; Teigen, E.; Ramchandani, V. Absorption And Peak Blood Alcohol Concentration After Drinking Beer, Wine, Or Spirits. Alcohol Clin Exp Res 2014, 38, 1200-1204. http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4112772/ (Accessed June 28 2015).
lower limit =
mg/dL
upper limit =