Doxylamine succinate (DS) is an over-the-counter antihistamine and is used in many nighttime sleep-aid products. Unfortunately, because this drug is so accessible, there are frequent cases of...

Doxylamine succinate (DS) is an over-the-counter antihistamine and is used in many nighttime sleep-aid products. Unfortunately, because this drug is so accessible, there are frequent cases of overdoses. To treat these patients properly, it is important to know the amount of DS ingested. However, many overdose patients are unconscious when they arrive at a hospital emergency room. A study was conducted to determine if the DS amount ingested could be reliably predicted from the plasma drug concentration upon arrival at the hospital. A random sample of DS overdose patients was obtained from various hospitals. The plasma drug concentration (x, in mg/mL) was measured for each upon arrival at the hospital. Following recovery, each patient was interviewed and the amount of DS ingested (y, in mg) was also recorded. ANTIHIST

a. Construct a scatter plot for these data, and describe the relationship between the plasma concentration and the amount ingested.

b. Find the estimated regression line.

c. Find a 95% confidence interval for the true mean amount of DS ingested for a plasma concentration of 6 mg/mL.

 d. Suppose the lethal dose of DS for a typical teenager is 2000 mg and that an overdose patient has a plasma concentration of 5 mg/mL. Do you believe that this patient has taken a lethal dose of DS? Why or why not?