Question

match the key term with each item listed below.
a cardiologist is interested in the mean recovery period of her patients who have had heart attacks.
item

• all patients who have had heart attacks
• the average recovery time of the randomly selected group of patients who had a heart attack
• the average recovery time of all people who have heart attacks
• the recovery time
• a group of patients who have had heart attacks randomly selected
• the recovery time of one person who had a heart attack

key term
a. parameter
b. population
c. data
d. statistic
e. sample
f. variable

Explanation:

To solve this matching problem, we analyze each item based on the definitions of the key terms:

1. “all patients who have had heart attacks”

• Definition of population (b): The entire group of individuals (or items) we want to study. Here, all heart - attack patients are the group of interest.
• Match: b. population

2. “the average recovery time of the randomly selected group of patients who had a heart attack”

• Definition of statistic (d): A numerical summary of a sample. The randomly selected group is a sample, and its average recovery time is a summary of that sample.
• Match: d. statistic

3. “the average recovery time of all people who have heart attacks”

• Definition of parameter (a): A numerical summary of a population. Here, the average of all heart - attack patients (the population) is a parameter.
• Match: a. parameter

4. “the recovery time”

• Definition of variable (f): A characteristic that can take on different values. Recovery time can vary from patient to patient.
• Match: f. variable

5. “a group of patients who have had heart attacks randomly selected”

• Definition of sample (e): A subset of the population selected for study. This randomly selected group is a subset of all heart - attack patients (the population).
• Match: e. sample

6. “the recovery time of one person who had a heart attack”

• Definition of data (c): Individual observations or values. The recovery time of a single patient is an individual data point.
• Match: c. data

Answer:

s:

• “all patients who have had heart attacks” : b. population
• “the average recovery time of the randomly selected group of patients who had a heart attack” : d. statistic
• “the average recovery time of all people who have heart attacks” : a. parameter
• “the recovery time” : f. variable
• “a group of patients who have had heart attacks randomly selected” : e. sample
• “the recovery time of one person who had a heart attack” : c. data