Question

ents 5.4.1 Question Help A population has a mean = 141 and a standard deviation c = 28. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 40 The mean is - and the standard deviation is :-D. ok (Round to three decimal places as needed.) 0 ch

Answer 1

Solution:
Given in the question
Population mean($\mu$) = 141
Standard deviation($\sigma$) = 28
Number of sample (n) = 40
We need to calculate mean and standard deviation of the sampling distribution of sample means can be calculated as
Mean of sampling distribution ($\mu$Xbar) = Population mean = 141
Standard deviation of sampling mean($\sigma$Xbar) = $\sigma$ /sqrt(n) = 28/sqrt(40) = 4.427
So mean is $\mu$ Xbar = 141 and the standard deviation is $\sigma$ Xbar = 4.427