Final answer:
None of the provided answer choices directly match the information given in the various contexts presented. To calculate μ and σ for the sampling distribution of a sample mean, we use the population mean and the adjusted population standard deviation divided by the square root of the sample size.
Step-by-step explanation:
To determine the values of μ (mu) and σ (sigma) for the sampling distribution of the sample mean, we look at the information provided in the various contexts of the problem. When dealing with the sampling distribution of the sample mean, the expected value (μ) is equal to the population mean, and the standard deviation (σ) of this sampling distribution depends on the population standard deviation and the sample size (n), following the formula σx = σ / √n.
- Using the Central Limit Theorem, we know that μx = μ when the sample size is large.
- The standard deviation of the sampling distribution (σx) can be calculated by dividing the population standard deviation (σ) by the square root of the sample size (√n).
Unfortunately, none of the answer choices directly match the information from the provided contexts, suggesting either an error in relaying the question options or a mismatch with the contexts given. Typically, to find μ and σ for a sampling distribution where the population mean is known (let's say, μ = 50) and the population standard deviation is given (for example, σ = 4), and we're considering samples of size 40, we would state that μ remains 50 while σ would be calculated as 4/√40 = 0.6325, which are not among the provided options.