It is less than .
It is greater than .
It is between and .
It is less than or greater than .
Explanation
Correct answer: C.
Choice C is correct. It's given that the mean of the data from a random sample of a population is , with an associated margin of error of . The most appropriate conclusion that can be made is that the mean of the entire population will fall between , plus or minus . Therefore, the population mean is between and .
Desmos solution:
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Why the other choices are wrong
Choice A
Choice A is incorrect. While it's an appropriate conclusion that the population mean is as low as , or , it isn't appropriate to conclude that the population mean is less than .
Choice B
Choice B is incorrect. While it's an appropriate conclusion that the population mean is as high as , or , it isn't appropriate to conclude that the population mean is greater than .
Choice D
Choice D is incorrect. It isn't an appropriate conclusion that the population mean is less than or greater than .