Final answer:
The standard error of the mean for a sample size of 40 from a population with a standard deviation of 8 is approximately 1.2649.
Step-by-step explanation:
The question is about finding the value of the standard error of the mean when a random sample of size 40 is selected from a population with a known standard deviation (σ) of 8 and an infinite population size.
To calculate the standard error of the mean, use the formula:
Standard Error (SE) = σ / √n
Where σ is the population standard deviation and n is the sample size. In this case:
SE = 8 / √40
Now we find the standard error:
SE = 8 / 6.3246 ≈ 1.2649
Hence, the standard error of the mean for the given sample is approximately 1.2649.