Final answer:
The mean of the sampling distribution of sample means is 49 with a standard deviation of 2.25.
Step-by-step explanation:
The mean of the sampling distribution of sample means can be found using the formula:
μx = μ = μ
Where μ is the population mean. In this case, μ = 49.
The standard deviation of the sampling distribution of sample means (σx) can be calculated using the formula:
σx = σ/√n
Where σ is the population standard deviation and n is the sample size. In this case, σ = 9 and n = 16.
Therefore, to find the mean of the sampling distribution of sample means:
μx = μ = 49
and
σx = σ/√n = 9/√16 = 9/4 = 2.25
So, the mean of the sampling distribution of sample means is 49 and the standard deviation is 2.25.