Question

Dr. Mark Destiny is a scientist who is interested in understanding the effects of a new sports drink formula called “Chasm” on the mean time it takes marathon runners to run from one end of Tempo City to the other and back. He hypothesizes that the new drink will help reduce the mean time it takes for the marathon runners to run this lap by a significant amount. He begins his study by randomly selecting 150 marathon runners from Tempo City. He then places the runners into 2 groups, 75 in Control and 75 in Chasm. The Control group receives 0.5 liters of water, waits 5 minutes and then runs across the city and back. This is defined as a city lap. The Chasm group receives the same amount of Chasm energy drink, waits 5 minutes, and then runs the same lap. The drink is flavorless and colorless so there is no distinction between the drinks from the runner perspective. Their times are recorded in minutes. Dr. Destiny records his results and runs an analysis to report back on Chasm.

1. 1, Identify the population in the study
2. 2. Describe the type of study conducted
3. 3. Identify the sample in the population
4. 4. What is the parameter of interest in the study
5. 5. What is the statistic Dr. Destiny is calculating based on his sample? Effects of new sports drink

Answer 1

Dear student, please comment in the case of any doubt and I would love to clarify it.

1)

A population data set contains all members of a specified group (the entire list of possible data values.

The population here will be all the humans as this drink will be available to every person once it launches.

2)

Experimental studies are ones where researchers introduce an intervention and study the effects. Experimental studies are usually randomized, meaning the subjects are grouped by chance.

This is an experimental study as eligible people are randomly assigned to one of two or more groups. One group receives the chasm(such as a new drug) while the other group receives the water. The researchers then study what happens to people in each group. Any difference in outcomes can then be linked to the intervention.

3)

A sample data set contains a part, or a subset, of a population. The size of a sample is always less than the size of the population from which it is taken.

The sample here is the marathon runners, who are selected for this experiment, those 150 marathon runners.

4)

A parameter of interest is what your data is focused on. When you don't have data about the entire population from a census, you will often use a sample statistic to approximate the parameter of interest. Parameter means some kind of number, like an average or a median.

Here, the parameter of interest will be the meantime the marathon runners take to complete the run.

5)

Dr. Destiny is trying to calculate the effect of new sports drink on the mean time of the marathon runners to complete the race/track.