Answer:
The answer to the question is
μx + (σx/4)
Step-by-step explanation:
The sample mean that is one standard deviations above the population mean is given by
value = μx + (Number of standard deviations)
(σx/√n)
value = μx + 1 (σx/√16)=
= μx + (σx/4) =
Where
μx = Population mean
σx = Population standard deviation
n = Sample size
The standard error of the mean is
σ/√n =σ/√16 = σ/4
The standard of error is an indication of the expected error in the mean of a sample from the mean of the population.
The above statements is based on the central limit theorem, which states that, in particular instances the normalized sum of independent random variables becomes closer and closer to those of normal distribution regardless of the variation in the sample of the variables
