An experiment was conducted to test the effects of alcohol. Errors were recorded

Question

An experiment was conducted to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group who drank ethanol and a placebo group. Construct a 95% confidence interval of the difference between the two population means. Do not assume the population standard deviations are equal. Do the results support the belief that drinking is hazardous for drivers, pilots, captains, and so on? Treatment-15, x=3.81, s-2.47 Placebo-15, x=2.09, s=0.65 Please use excel and show formulas

Explanation / Answer

here let treatment =1 and placebo is 2

hence

here degree of freedom =v=((s12/n1+s22/n2)2/((s12/n1)2/(n1-1) + (s22/n2)2/(n2-1))~15

here std error of difference =(s12/n1+s22/n2)1/2=0.659

for above 15 df and 95% CI, t=2.131

hence confidence interval =mean difference +/- t*std error =0.314 ; 3.126

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