Question
A scientist simulates chance outcomes by randomly re-sorting treatment groups one hundred times and constructing a distribution of the response variable means for each treatment group. What can the scientist predict about the means of the treatment group distributions?(1 point)
Responses
The means of the treatment group distributions will be very close to each other and close to the mean of the entire population.
The means of the treatment group distributions will be very close to each other and close to the mean of the entire population.
The means of the treatment group distributions will be exactly the same.
The means of the treatment group distributions will be exactly the same.
The means of the treatment group distributions will be very different.
The means of the treatment group distributions will be very different.
The means of the treatment group distributions will be very different from the response variable mean of the entire population.
The means of the treatment group distributions will be very different from the response variable mean of the entire population.
Responses
The means of the treatment group distributions will be very close to each other and close to the mean of the entire population.
The means of the treatment group distributions will be very close to each other and close to the mean of the entire population.
The means of the treatment group distributions will be exactly the same.
The means of the treatment group distributions will be exactly the same.
The means of the treatment group distributions will be very different.
The means of the treatment group distributions will be very different.
The means of the treatment group distributions will be very different from the response variable mean of the entire population.
The means of the treatment group distributions will be very different from the response variable mean of the entire population.
Answers
GPT-4o mini
The correct prediction regarding the means of the treatment group distributions is:
**The means of the treatment group distributions will be very close to each other and close to the mean of the entire population.**
This statement reflects the idea that when random re-sorting occurs, the treatment groups will likely not show significant differences from one another, especially if the sample sizes are sufficiently large, and they will all center around the overall population mean due to the Law of Large Numbers.
**The means of the treatment group distributions will be very close to each other and close to the mean of the entire population.**
This statement reflects the idea that when random re-sorting occurs, the treatment groups will likely not show significant differences from one another, especially if the sample sizes are sufficiently large, and they will all center around the overall population mean due to the Law of Large Numbers.