Answer:
3.8731
Step-by-step explanation:
The standard deviation of the sampling distribution of the sample mean is also called the standard error of the mean expressed as;
SM = s/√n
s is the standard deviation of the random variable X
n is the sample size
Given
s = 15
n = 15
Required
Standard deviation of the sampling distribution of the sample mean.
Substituting the given parameters into the expression above;
SM = 15/√15
SM = 15/3.8729
SM = 3.8731
Hence the standard deviation of the sampling distribution of the sample mean is 3.8731
