Questions:
Question 12 of 20, Step 1 of 1
Four scenarios of statistical studies are given below. Decide which study uses a sample statistic.
Answer
A study prompted by the increase in the use of assisted reproductive technology looked at hospital records across the country. The report stated that an estimated 32% of births in the U.S. last year resulted in twins.
The average finish time for the Ironman, Kona was 11:32 for the 1883 finishers, with an average swim time of 1:14, an average bike time of 5:53, and an average run time of 4:14.
In 2001, 78% of children diagnosed with cancer were in remission after five years, and this number is improving.
Lakeside Family Dentistry reported that 9 of the 15 patients who came in for a regular cleaning one day had at least one cavity.
Submit
Transcript text:
Question 12 of 20, Step 1 of 1
Four scenarios of statistical studies are given below. Decide which study uses a sample statistic.
Answer
A study prompted by the increase in the use of assisted reproductive technology looked at hospital records across the country. The report stated that an estimated 32% of births in the U.S. last year resulted in twins.
The average finish time for the Ironman, Kona was 11:32 for the 1883 finishers, with an average swim time of 1:14, an average bike time of 5:53, and an average run time of 4:14.
In 2001, 78% of children diagnosed with cancer were in remission after five years, and this number is improving.
Lakeside Family Dentistry reported that 9 of the 15 patients who came in for a regular cleaning one day had at least one cavity.
Submit
Solution
Solution Steps
Step 1: Identify the Scenarios
We have four scenarios related to statistical studies. Each scenario can be classified as either using a sample statistic or a population statistic. The classifications are as follows:
Scenario 1: A study based on nationwide hospital records reporting that an estimated \(32\%\) of births resulted in twins. This is a population statistic since it refers to the entire population of births in the U.S.
Scenario 2: The average finish time for the Ironman, Kona, is reported as \(11:32\) for \(1883\) finishers. This is a sample statistic because it is based on a specific group of finishers rather than the entire population of all Ironman finishers.
Scenario 3: In \(2001\), \(78\%\) of children diagnosed with cancer were reported to be in remission after five years. This is a population statistic as it refers to all children diagnosed with cancer.
Scenario 4: Lakeside Family Dentistry reported that \(9\) out of \(15\) patients had at least one cavity. This is a sample statistic since it is based on a specific sample of patients visiting the clinic.
Step 2: Classify Each Scenario
Based on the analysis, we classify the scenarios as follows:
Scenario 1: Population Statistic
Scenario 2: Sample Statistic
Scenario 3: Population Statistic
Scenario 4: Sample Statistic
Final Answer
The scenarios that use a sample statistic are Scenario 2 and Scenario 4. Thus, the answer is:
\(\boxed{\text{Scenario 2 and Scenario 4 use a sample statistic.}}\)