This Question: 1 pt 10 of 12 (10 complete) An experiment was conducted to test t

Question

This Question: 1 pt 10 of 12 (10 complete) An experiment was conducted to test the effects of alcohol. Errors Treatment Placebo were recorded in a test of visual and motor skills for a treatment n 19 19 group who drank ethanol and a placebo group. Construct a 95% x 465 134 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? 101 1.85 | 0.94 Click the icon to view the table of critical values Find the 95% confidence interval. E | _ 2«D (Round to three decimal places as needed.) Does the confidence interval show that drinking is hazardous? A. Yes, because the confidence interval does not include zero. O B. No, because the confidence interval does not include zero. ° C. No, because the confidence interval includes zero. O D. Yes, because the confidence interval includes zero. Click to select your answer(s).

Explanation / Answer

Calculate Confidence Interval

t/2 = 1.98892

Standard Error = [(n-1)(s)² + (n-1)(s)²]/[n + n - 2] • 1/n + 1/n
= 6.349397590361446 0.04722222222222222
= 0.547569780018301

Lower Bound = (x - x) - t/2•([(n-1)(s)² + (n-1)(s)²]/[n + n - 2]•1/n + 1/n)
= (15 - 17) - (1.98892)(0.547569780018301)
= -3.0890724869

Upper Bound = (x + x) + t/2•([(n-1)(s)² + (n-1)(s)²]/[n + n - 2]•1/n + 1/n)
= (15 - 17) + (1.98892)(0.547569780018301)
= -0.9109275131

Confidence Interval = (-3.0890724869, -0.9109275131)

b) The correct option is D

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