Answer:
Sample 1 is associated with a larger standard error of the mean.
Step-by-step explanation:
We are given the following in the question:
Formula for standard error:
[tex]\text{Standard error} = \dfrac{\sigma}{\sqrt{n}}[/tex]
Sample 1:
[tex]n = 64\\\mu = 10\\\sigma^2 = 16\\\sigma = \sqrt{16} = 4\\\\\text{Standard error} = \dfrac{4}{\sqrt{64}} = \dfrac{4}{8} = 0.5[/tex]
Sample 2:
[tex]n = 64\\\mu = 25\\\sigma^2 = 9\\\sigma = \sqrt{9} = 3\\\\\text{Standard error} = \dfrac{3}{\sqrt{64}} = \dfrac{3}{8} = 0.375[/tex]
Thus, sample 1 is associated with a larger standard error of the mean.
