Final answer:
The given question asks about the sampling distribution of the sample mean, which can be determined by dividing the mean and standard deviation of the sample data by the square root of the sample size.
Step-by-step explanation:
The given question is asking about the sampling distribution of the sample mean. In this case, a random sample has been taken from a normal distribution, with a sample size of 10. The mean and standard error of the sample mean have not been provided, but the mean of the sample data is given as 0.507 and the standard deviation is given as 1.605. To find the mean and standard error of the sample mean, divide the mean and standard deviation of the sample data by the square root of the sample size.
Mean of the sample mean = Mean of the sample data / √sample size = 0.507 / √10 ≈ 0.1605
Standard Error of the sample mean = Standard deviation of the sample data / √sample size = 1.605 / √10 ≈ 0.507