Questions: In order to assess the effectiveness of taking large doses of vitamin C in reducing the duration of the common cold, researchers recruited 400 healthy volunteers from staff and students at a university. A quarter of the patients were assigned a placebo, and the rest were evenly divided between 1 g Vitamin C, 3 g Vitamin C, or 3 g Vitamin C plus additives to be taken at onset of a cold for the following two days. All tablets had identical appearance and packaging. The nurses who handed the prescribed pills to the patients knew which patient received which treatment, but the researchers assessing the patients when they were sick did not. No significant differences were observed in any measure of cold duration or severity between the four medication groups, and the placebo group had the shortest duration of symptoms. a) Was this an experiment or an observational study? Why? Observational study, as each patient determined their own treatment. Experiment, as the treatment was assigned to each patient. b) What is the explanatory variable in this study? the number of patients in the study duration of the cold the amount of Vitamin C given c) What is the response variable in this study? the number of patients in the study duration of the cold the amount of Vitamin C given d) Were the patients blinded to their treatment? No Yes

In order to assess the effectiveness of taking large doses of vitamin C in reducing the duration of the common cold, researchers recruited 400 healthy volunteers from staff and students at a university. A quarter of the patients were assigned a placebo, and the rest were evenly divided between 1 g Vitamin C, 3 g Vitamin C, or 3 g Vitamin C plus additives to be taken at onset of a cold for the following two days. All tablets had identical appearance and packaging. The nurses who handed the prescribed pills to the patients knew which patient received which treatment, but the researchers assessing the patients when they were sick did not. No significant differences were observed in any measure of cold duration or severity between the four medication groups, and the placebo group had the shortest duration of symptoms.

a) Was this an experiment or an observational study? Why?
Observational study, as each patient determined their own treatment.
Experiment, as the treatment was assigned to each patient.

b) What is the explanatory variable in this study?
the number of patients in the study
duration of the cold
the amount of Vitamin C given

c) What is the response variable in this study?
the number of patients in the study
duration of the cold
the amount of Vitamin C given

d) Were the patients blinded to their treatment?
No
Yes
Transcript text: In order to assess the effectiveness of taking large doses of vitamin C in reducing the duration of the common cold, researchers recruited 400 healthy volunteers from staff and students at a university. A quarter of the patients were assigned a placebo, and the rest were evenly divided between 1 g Vitamin C, 3 g Vitamin C, or 3 g Vitamin C plus additives to be taken at onset of a cold for the following two days. All tablets had identical appearance and packaging. The nurses who handed the prescribed pills to the patients knew which patient received which treatment, but the researchers assessing the patients when they were sick did not. No significant differences were observed in any measure of cold duration or severity between the four medication groups, and the placebo group had the shortest duration of symptoms. a) Was this an experiment or an observational study? Why? Observational study, as each patient determined their own treatment. Experiment, as the treatment was assigned to each patient. b) What is the explanatory variable in this study? the number of patients in the study duration of the cold the amount of Vitamin C given c) What is the response variable in this study? the number of patients in the study duration of the cold the amount of Vitamin C given d) Were the patients blinded to their treatment? No Yes
failed

Solution

failed
failed

Solution Steps

Step 1: Determine if the study is an experiment or an observational study

The study is an experiment because the treatment (placebo, 1 g Vitamin C, 3 g Vitamin C, or 3 g Vitamin C plus additives) was assigned to each patient by the researchers. In an observational study, patients would determine their own treatment, but here, the researchers controlled the assignment.

Step 2: Identify the explanatory variable

The explanatory variable is the variable that is manipulated or changed by the researchers. In this study, the explanatory variable is the amount of Vitamin C given (placebo, 1 g, 3 g, or 3 g plus additives).

Step 3: Identify the response variable

The response variable is the outcome that is measured to assess the effect of the explanatory variable. In this study, the response variable is the duration of the cold, as the researchers were interested in how the treatment affected the length of cold symptoms.

Final Answer

a) This was an experiment, as the treatment was assigned to each patient.
b) The explanatory variable is the amount of Vitamin C given.
c) The response variable is the duration of the cold.

\\(\boxed{\text{a) Experiment, b) the amount of Vitamin C given, c) duration of the cold}}\\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful