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(Solution Library) An experiment was conducted to test the effects of alcohol. The errors were recorded in a test of visual and motor skills for a treatment

Question: An experiment was conducted to test the effects of alcohol. The errors were recorded in a test of visual and motor skills for a treatment group of people who drank ethanol and another group given a placebo. Higher test results show increased effects of alcohol. The results are shown in the table given below. Using the formula on page 414 in our textbook, construct the 95% confidence interval for m 1 - m 2 , where m 1 is the population mean test score for the treatment group and m 2 is the population mean test score for the placebo group. Do the results support the common belief that drinking is hazardous for drivers, pilots, ship captains, and so on? Why or why not?

Treatment group Placebo group
x 1 = 4.20 (sample mean) x 2 = 1.71 (sample mean)
\[{{s}_{1}}=\] 2.20 \[{{s}_{2}}=\] 0.72
n 1 = 32 n 2 = 35
population mean 1 population mean 2

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