A pharmaceutical company is examining the relationship between dosage of a new pain-relief medication and the time it takes for patients to experience pain relief from a headache. Various dosages ranging from 200 to 1,200 milligrams (mg) in 100-milligram increments were given to 41 randomly selected patients, and the time until relief was measured in minutes. A check of the conditions necessary for inference for the slope of a regression line shows that they are met. A 95 percent confidence interval for the slope of the regression line relating the dosage, x, to the time until relief, y, is given by (−4.15,−2.27). Based on the confidence interval, which of the following claims is supported? A 100 mg increase in dosage results in a decrease in the time until relief by more than two minutes on average. A A 100 mg increase in dosage results in a decrease in the time until relief by more than four minutes on average. B There is not a linear relationship between dosage and time until relief. C A 100 mg increase in dosage results in an increase in the time until relief by more than two minutes on average. D A 100 mg increase in dosage results in an increase in the time until relief by more than four minutes on average. E
A pharmaceutical company is examining the relationship between dosage of a new pain-relief medication and the time it takes for patients to experience pain relief from a headache. Various dosages
A 95 percent confidence interval for the slope of the regression line relating the dosage, x, to the time until relief, y, is given by (−4.15,−2.27).
Based on the confidence interval, which of the following claims is supported?
-
A 100 mg increase in dosage results in a decrease in the time until relief by more than two minutes on average.
A -
A 100 mg increase in dosage results in a decrease in the time until relief by more than four minutes on average.
B -
There is not a linear relationship between dosage and time until relief.
C -
A 100 mg increase in dosage results in an increase in the time until relief by more than two minutes on average.
D -
A 100 mg increase in dosage results in an increase in the time until relief by more than four minutes on average.
E
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
