Final answer:
The standard error of the sampling distribution is approximately 0.009.
Step-by-step explanation:
To find the standard error of the sampling distribution, divide the population parameter by the square root of the sample size. In this case, the population parameter is 0.1 and the sample size is 115.
Standard error = population parameter / √sample size = 0.1 / √115 ≈ 0.009 (rounding to three decimal places).