Modded SAT Question Bank
by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub
We're excited to announce that we've launched a new and improved question bank with enhanced features and a more user-friendly interface.
To access the new question bank, please visit OnePrep.
We believe that this new platform will provide you with a better overall experience. Thank you for your continued support!
Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Inference from sample statistics and margin of error
Difficulty
Easy
ID: 6a305cd0
Modded SAT Question Bank by Abdullah Mallik

In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?

  1. It is less than 37.

  2. It is greater than 37.

  3. It is between 34 and 40.

  4. It is less than 34 or greater than 40.


Tip: Press CTRL/Command to toggle answer
Correct Answer: C
Rationale

Choice C is correct. It’s given that the mean of the data from a random sample of a population is 37, with an associated margin of error of 3. The most appropriate conclusion that can be made is that the mean of the entire population will fall between 37, plus or minus 3. Therefore, the population mean is between 37 minus 3, which equals 34 and 37 plus 3, which equals 40.

Choice A is incorrect. While it’s an appropriate conclusion that the population mean is as low as 37 minus 3, or 34, it isn’t appropriate to conclude that the population mean is less than 34. Choice B is incorrect. While it’s an appropriate conclusion that the population mean is as high as 37 plus 3, or 40, it isn’t appropriate to conclude that the population mean is greater than 40. Choice D is incorrect. It isn’t an appropriate conclusion that the population mean is less than 34 or greater than 40.

Question Difficulty: Easy
104 / 116 Next