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. Answer A: A 100 milligram 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. Answer B: A 100 milligram 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. Answer C: 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. Answer D: A 100 milligram 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.

Name: A pharmaceutical company is examining the relationship between dosage
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 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-milli

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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.

Answer A: A 100 milligram 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.

Answer B: A 100 milligram 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.

Answer C: 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.

Answer D: A 100 milligram 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.

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